Wiley: Mathematical Methods in the Applied Sciences: Table of Contents
Table of Contents for Mathematical Methods in the Applied Sciences. List of articles from both the latest and EarlyView issues.
https://onlinelibrary.wiley.com/loi/10991476?af=R
Wiley: Mathematical Methods in the Applied Sciences: Table of Contents
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Mathematical Methods in the Applied Sciences
Mathematical Methods in the Applied Sciences
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https://onlinelibrary.wiley.com/loi/10991476?af=R
Nonlinear diffusion equations as asymptotic limits of Cahn‐Hilliard systems on unbounded domains via Cauchy's criterion
This paper develops an abstract theory for subdifferential operators to give existence and uniqueness of solutions to the initial‐boundary problem for the nonlinear diffusion equation in an unbounded domain
(
), written as
which represents the porous media, the fast diffusion equations, etc, where β is a single‐valued maximal monotone function on
, and T>0. In Kurima and Yokota (J Differential Equations 2017; 263:2024‐2050 and Adv Math Sci Appl 2017; 26:221‐242) existence and uniqueness of solutions for were directly proved under a growth condition for β even though the Stefan problem was excluded from examples of . This paper completely removes the growth condition for β by confirming Cauchy's criterion for solutions of the following approximate problem ε with approximate parameter ε>0:
which is called the Cahn‐Hilliard system, even if
(
) is an unbounded domain. Moreover, it can be seen that the Stefan problem excluded from Kurima and Yokota (J Differential Equations 2017; 263:2024‐2050 and Adv Math Sci Appl 2017; 26:221‐242) is covered in the framework of this paper.
TakeshiFukao
,
ShunsukeKurima
,
TomomiYokota
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/94xkgersG38/mma.4760
Volume 41, Issue 7, Page 2590-2601, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2590-2601, 15 May 2018. <br/>
Nonlinear diffusion equations as asymptotic limits of Cahn‐Hilliard systems on unbounded domains via Cauchy's criterion
doi:10.1002/mma.4760
Mathematical Methods in the Applied Sciences
2018-02-12T08:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-02-12T08:00:00Z
2018-02-12T08:00:00Z
10.1002/mma.4760
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4760?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4760?af=R
Asymptotic and numerical solutions of three‐dimensional boundary‐layer flow past a moving wedge
We consider a laminar boundary‐layer flow of a viscous and incompressible fluid past a moving wedge in which the wedge is moving either in the direction of the mainstream flow or opposite to it. The mainstream flows outside the boundary layer are approximated by a power of the distance from the leading boundary layer. The variable pressure gradient is imposed on the boundary layer so that the system admits similarity solutions. The model is described using 3‐dimensional boundary‐layer equations that contains 2 physical parameters: pressure gradient (β) and shear‐to‐strain‐rate ratio parameter (α). Two methods are used: a linear asymptotic analysis in the neighborhood of the edge of the boundary layer and the Keller‐box numerical method for the full nonlinear system. The results show that the flow field is divided into near‐field region (mainly dominated by viscous forces) and far‐field region (mainstream flows); the velocity profiles form through an interaction between 2 regions. Also, all simulations show that the subsequent dynamics involving overshoot and undershoot of the solutions for varying parameter characterizing 3‐dimensional flows. The pressure gradient (favorable) has a tendency of decreasing the boundary‐layer thickness in which the velocity profiles are benign. The wall shear stresses increase unboundedly for increasing α when the wedge is moving in the x‐direction, while the case is different when it is moving in the y‐direction. Further, both analysis show that 3‐dimensional boundary‐layer solutions exist in the range −1<α<∞. These are some interesting results linked to an important class of boundary‐layer flows.
Ramesh B.Kudenatti
,
Shashi PrabhaGogate S
,
N. M.Bujurke
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/IqxkwM40plg/mma.4761
Volume 41, Issue 7, Page 2602-2614, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2602-2614, 15 May 2018. <br/>
Asymptotic and numerical solutions of three‐dimensional boundary‐layer flow past a moving wedge
doi:10.1002/mma.4761
Mathematical Methods in the Applied Sciences
2018-02-02T08:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-02-02T08:00:00Z
2018-02-02T08:00:00Z
10.1002/mma.4761
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4761?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4761?af=R
Asymptotic behavior to a chemotaxis consumption system with singular sensitivity
We consider a chemotaxis consumption system with singular sensitivity
, vt=εΔv−uv in a bounded domain
with χ,α,ε>0. The global existence of classical solutions is obtained with n=1. Moreover, for any global classical solution (u,v) to the case of n,α≥1, it is shown that v converges to 0 in the L∞‐norm as t→∞ with the decay rate established whenever ε∈(ε0,1) with
.
XiangdongZhao
,
SiningZheng
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/LmcDEwPqQDA/mma.4762
Volume 41, Issue 7, Page 2615-2624, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2615-2624, 15 May 2018. <br/>
Asymptotic behavior to a chemotaxis consumption system with singular sensitivity
doi:10.1002/mma.4762
Mathematical Methods in the Applied Sciences
2018-02-14T08:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-02-14T08:00:00Z
2018-02-14T08:00:00Z
10.1002/mma.4762
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4762?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4762?af=R
Synchronization and antisynchronization of N‐coupled fractional‐order complex chaotic systems with ring connection
This paper is devoted to investigate synchronization and antisynchronization of N‐coupled general fractional‐order complex chaotic systems described by a unified mathematical expression with ring connection. By means of the direct design method, the appropriate controllers are designed to transform the fractional‐order error dynamical system into a nonlinear system with antisymmetric structure. Thus, by using the recently established result for the Caputo fractional derivative of a quadratic function and a fractional‐order extension of the Lyapunov direct method, several stability criteria are derived to ensure the occurrence of synchronization and antisynchronization among N‐coupled fractional‐order complex chaotic systems. Moreover, numerical simulations are performed to illustrate the effectiveness of the proposed design.
CuimeiJiang
,
FangfangZhang
,
TongxingLi
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/B6WiV6Beydo/mma.4765
Volume 41, Issue 7, Page 2625-2638, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2625-2638, 15 May 2018. <br/>
Synchronization and antisynchronization of N‐coupled fractional‐order complex chaotic systems with ring connection
doi:10.1002/mma.4765
Mathematical Methods in the Applied Sciences
2018-03-05T08:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-03-05T08:00:00Z
2018-03-05T08:00:00Z
10.1002/mma.4765
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4765?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4765?af=R
Energy decay estimates and infinite blow‐up phenomena for a strongly damped semilinear wave equation with logarithmic nonlinear source
This paper deals with the energy decay estimates and infinite blow‐up phenomena for a strongly damped semilinear wave equation with logarithmic nonlinear source term under null Dirichlet boundary condition. By constructing a new family of potential wells, together with logarithmic Sobolev inequality and perturbation energy technique, we establish sufficient conditions to guarantee the solution exists globally or occurs infinite blow‐up and derive the polynomial or exponential energy decay estimates under some appropriate conditions.
LingweiMa
,
Zhong BoFang
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/w4YEGPQ37YU/mma.4766
Volume 41, Issue 7, Page 2639-2653, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2639-2653, 15 May 2018. <br/>
Energy decay estimates and infinite blow‐up phenomena for a strongly damped semilinear wave equation with logarithmic nonlinear source
doi:10.1002/mma.4766
Mathematical Methods in the Applied Sciences
2018-01-29T08:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-01-29T08:00:00Z
2018-01-29T08:00:00Z
10.1002/mma.4766
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4766?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4766?af=R
Fast algorithm of adaptive Fourier series
Adaptive Fourier decomposition (AFD, precisely 1‐D AFD or Core‐AFD) was originated for the goal of positive frequency representations of signals. It achieved the goal and at the same time offered fast decompositions of signals. There then arose several types of AFDs. The AFD merged with the greedy algorithm idea, and in particular, motivated the so‐called pre‐orthogonal greedy algorithm (pre‐OGA) that was proven to be the most efficient greedy algorithm. The cost of the advantages of the AFD‐type decompositions is, however, the high computational complexity due to the involvement of maximal selections of the dictionary parameters. The present paper constructs one novel method to perform the 1‐D AFD algorithm. We make use of the FFT algorithm to reduce the algorithm complexity, from the original
to
, where N denotes the number of the discretization points on the unit circle and M denotes the number of points in [0,1). This greatly enhances the applicability of AFD. Experiments are performed to show the high efficiency of the proposed algorithm.
YouGao
,
MinKu
,
TaoQian
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/zJxaVw2ETws/mma.4767
Volume 41, Issue 7, Page 2654-2663, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2654-2663, 15 May 2018. <br/>
Fast algorithm of adaptive Fourier series
doi:10.1002/mma.4767
Mathematical Methods in the Applied Sciences
2018-02-14T08:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-02-14T08:00:00Z
2018-02-14T08:00:00Z
10.1002/mma.4767
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4767?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4767?af=R
An a priori error analysis of an HDG method for an eddy current problem
This paper concerns itself with the development of an a priori error analysis of an eddy current problem when applying the well‐known hybridizable discontinuous Galerkin (HDG) method. Up to the authors' knowledge, this kind of theoretical result has not been proved for this kind of problems. We consider nontrivial domains and heterogeneous media which contain conductor and insulating materials. When dealing with these domains, it is necessary to impose the divergence‐free condition explicitly in the insulator, what is done by means of a suitable Lagrange multiplier in that material. In the end, we deduce an equivalent HDG formulation that includes as unknowns the tangential and normal trace of a vector field. This represents a reduction in the degrees of freedom when compares with the standard DG methods. For this scheme, we conduct a consistency and local conservative analysis as well as its unique solvability. After that, we introduce suitable projection operators that help us to deduce the expected a priori error estimate, which provides estimated rates of convergence when additional regularity on the exact solution is assumed.
RommelBustinza
,
BibianaLopez‐Rodriguez
,
MauricioOsorio
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/--pIN2PlfDA/mma.4780
Volume 41, Issue 7, Page 2795-2810, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2795-2810, 15 May 2018. <br/>
An a priori error analysis of an HDG method for an eddy current problem
doi:10.1002/mma.4780
Mathematical Methods in the Applied Sciences
2018-02-02T08:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-02-02T08:00:00Z
2018-02-02T08:00:00Z
10.1002/mma.4780
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4780?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4780?af=R
The modified Green function technique for the exterior Dirichlet problem in linear thermoelasticity
In this work, the modified Green function technique for the exterior Dirichlet problem in linear thermoelasticity is presented. Expressing the solution of the problem as a double‐layer potential of an unknown density, we form the associated boundary integral equation that describes the problem. Exploiting that the discrete spectrum of the irregular values of the associated integral equation is identified with the spectrum of eigenvalues of the corresponding interior homogeneous Neumann problem for the transverse part of the elastic displacement field, we introduce a modification of the fundamental solution of the elastic field. We establish the sufficient conditions that the coefficients of the modification must satisfy to overcome the problem of nonuniqueness for the thermoelastic problem.
EliasArgyropoulos
,
EftychiaArgyropoulou
,
KiriakieKiriaki
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/p3u8NivSzQg/mma.4783
Volume 41, Issue 7, Page 2811-2826, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2811-2826, 15 May 2018. <br/>
The modified Green function technique for the exterior Dirichlet problem in linear thermoelasticity
doi:10.1002/mma.4783
Mathematical Methods in the Applied Sciences
2018-02-08T08:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-02-08T08:00:00Z
2018-02-08T08:00:00Z
10.1002/mma.4783
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4783?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4783?af=R
A new stability number of the Bresse‐Cattaneo system
In this paper, we consider the Bresse‐Cattaneo system with a frictional damping term and prove some optimal decay results for the L2‐norm of the solution and its higher order derivatives. In fact, we show that there is a completely new stability number δ that controls the decay rate of the solution. To prove our results, we use the energy method in the Fourier space to build some very delicate Lyapunov functionals that give the desired results. We also prove the optimality of the results by using the eigenvalues expansion method. In addition, we show that for the absence of the frictional damping term, the solution of our problem does not decay at all. This result improves some early results
LeilaDjouamai
,
BelkacemSaid‐Houari
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/TrDN_kqgvHc/mma.4784
Volume 41, Issue 7, Page 2827-2847, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2827-2847, 15 May 2018. <br/>
A new stability number of the Bresse‐Cattaneo system
doi:10.1002/mma.4784
Mathematical Methods in the Applied Sciences
2018-02-12T08:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-02-12T08:00:00Z
2018-02-12T08:00:00Z
10.1002/mma.4784
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4784?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4784?af=R
Lebesgue regularity for differential difference equations with fractional damping
We provide necessary and sufficient conditions for the existence and uniqueness of solutions belonging to the vector‐valued space of sequences
for equations that can be modeled in the form
where X is a Banach space,
A is a closed linear operator with domain D(A) defined on X, and G is a nonlinear function. The operator Δγ denotes the fractional difference operator of order γ>0 in the sense of Grünwald‐Letnikov. Our class of models includes the discrete time Klein‐Gordon, telegraph, and Basset equations, among other differential difference equations of interest. We prove a simple criterion that shows the existence of solutions assuming that f is small and that G is a nonlinear term.
CarlosLizama
,
MarinaMurillo‐Arcila
,
ClaudioLeal
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/MraZtdcPK9M/mma.4757
Volume 41, Issue 7, Page 2535-2545, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2535-2545, 15 May 2018. <br/>
Lebesgue regularity for differential difference equations with fractional damping
doi:10.1002/mma.4757
Mathematical Methods in the Applied Sciences
2018-01-25T08:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-01-25T08:00:00Z
2018-01-25T08:00:00Z
10.1002/mma.4757
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4757?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4757?af=R
The existence of periodic solutions for nonlinear beam equations on
by a para‐differential method
This paper focuses on the construction of periodic solutions of nonlinear beam equations on the d‐dimensional tori. For a large set of frequencies, we demonstrate that an equivalent form of the nonlinear equations can be obtained by a para‐differential conjugation. Given the nonresonant conditions on each finite dimensional subspaces, it is shown that the periodic solutions can be constructed for the block diagonal equation by a classical iteration scheme.
BochaoChen
,
YongLi
,
YixianGao
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/O0FTzLRuGNQ/mma.4758
Volume 41, Issue 7, Page 2546-2574, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2546-2574, 15 May 2018. <br/>
The existence of periodic solutions for nonlinear beam equations on
by a para‐differential method
doi:10.1002/mma.4758
Mathematical Methods in the Applied Sciences
2018-01-29T08:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-01-29T08:00:00Z
2018-01-29T08:00:00Z
10.1002/mma.4758
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4758?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4758?af=R
Contragenic functions on spheroidal domains
We construct bases of polynomials for the spaces of square‐integrable harmonic functions that are orthogonal to the monogenic and antimonogenic
‐valued functions defined in a prolate or oblate spheroid.
RaybelGarcía‐Ancona
,
JoaoMorais
,
R. MichaelPorter
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/aZ4si97VZpI/mma.4759
Volume 41, Issue 7, Page 2575-2589, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2575-2589, 15 May 2018. <br/>
Contragenic functions on spheroidal domains
doi:10.1002/mma.4759
Mathematical Methods in the Applied Sciences
2018-03-13T07:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-03-13T07:00:00Z
2018-03-13T07:00:00Z
10.1002/mma.4759
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4759?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4759?af=R
Exact solutions of the time fractional nonlinear Schrödinger equation with two different methods
In the present paper, exact solutions of fractional nonlinear Schrödinger equations have been derived by using two methods: Lie group analysis and invariant subspace method via Riemann‐Liouvill derivative. In the sense of Lie point symmetry analysis method, all of the symmetries of the Schrödinger equations are obtained, and these operators are applied to find corresponding solutions. In one case, we show that Schrödinger equation can be reduced to an equation that is related to the Erdelyi‐Kober functional derivative. The invariant subspace method for constructing exact solutions is presented for considered equations.
ElhamLashkarian
,
S. RezaHejazi
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/2fhqhB209UY/mma.4770
Volume 41, Issue 7, Page 2664-2672, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2664-2672, 15 May 2018. <br/>
Exact solutions of the time fractional nonlinear Schrödinger equation with two different methods
doi:10.1002/mma.4770
Mathematical Methods in the Applied Sciences
2018-01-30T08:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-01-30T08:00:00Z
2018-01-30T08:00:00Z
10.1002/mma.4770
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4770?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4770?af=R
GBS operators of bivariate Bernstein‐Durrmeyer–type on a triangle
The purpose of the present paper is to define the GBS (Generalized Boolean Sum) operators associated with the two‐dimensional Bernstein‐Durrmeyer operators introduced by Zhou 1992 and study its approximation properties. Furthermore, we show the convergence and comparison of convergence with the GBS of the Bernstein‐Kantorovich operators proposed by Deshwal et al 2017 by numerical examples and illustrations.
RuchiRuchi
,
BeharBaxhaku
,
Purshottam N.Agrawal
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/4oiaBt8JHeI/mma.4771
Volume 41, Issue 7, Page 2673-2683, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2673-2683, 15 May 2018. <br/>
GBS operators of bivariate Bernstein‐Durrmeyer–type on a triangle
doi:10.1002/mma.4771
Mathematical Methods in the Applied Sciences
2018-02-14T08:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-02-14T08:00:00Z
2018-02-14T08:00:00Z
10.1002/mma.4771
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4771?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4771?af=R
Existence of solution to Korteweg‐de Vries equation in domains that can be transformed into rectangles
We study the Korteweg‐de Vries equation
subject to boundary condition in nonrectangular domain
where
, with some assumptions on functions (φi(t))1≤i≤2 and the coefficients of equation. The right‐hand side and its derivative with respect to t are in the Lebesgue space L2(Ω). Our goal is to establish the existence, the uniqueness, and the regularity of the solution.
YassineBenia
,
Boubaker‐KhaledSadallah
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/ltwC3ocs7AQ/mma.4773
Volume 41, Issue 7, Page 2684-2698, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2684-2698, 15 May 2018. <br/>
Existence of solution to Korteweg‐de Vries equation in domains that can be transformed into rectangles
doi:10.1002/mma.4773
Mathematical Methods in the Applied Sciences
2018-01-25T08:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-01-25T08:00:00Z
2018-01-25T08:00:00Z
10.1002/mma.4773
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4773?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4773?af=R
Allee thresholds and basins of attraction in a predation model with double Allee effect
We investigate the nature of Allee thresholds and basins of attraction in a predation model with double Allee effect in the prey and a competition behaviour in the predator. From a mathematical perspective, this implies to find and characterise the corresponding basin boundaries in phase space. This is typically a major challenge since the objects that act as boundaries between 2 different basins are invariant manifolds of the system, which may also undergo topological changes at bifurcations. For this goal, we make an extensive use of analytical tools from dynamical systems theory and numerical bifurcation analysis and determine the full bifurcation diagram. Local bifurcations include saddle‐node, transcritical and Hopf bifurcations, while global phenomena include homoclinic bifurcations, heteroclinic connections, and heteroclinic cycles. We identify the Allee threshold to be either a limit cycle, a homoclinic orbit, or the stable manifold of an equilibrium. This strategy based on bifurcation and invariant manifold analysis allows us to identify the mathematical mechanisms that produce rearrangements of separatrices in phase space. In this way, we give a full geometrical explanation of how the Allee threshold and basins of attraction undergo critical transitions. This approach is complemented with a study of the dynamics near infinity. In this way, we determine the conditions such that the basins of attraction are bounded or unbounded sets in phase space. All in all, these results allow us to show a complete description of phase portraits, extinction thresholds, and basins of attraction of our model under variation of parameters.
DanaContreras Julio
,
PabloAguirre
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/6kM2XaiQkvY/mma.4774
Volume 41, Issue 7, Page 2699-2714, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2699-2714, 15 May 2018. <br/>
Allee thresholds and basins of attraction in a predation model with double Allee effect
doi:10.1002/mma.4774
Mathematical Methods in the Applied Sciences
2018-02-12T08:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-02-12T08:00:00Z
2018-02-12T08:00:00Z
10.1002/mma.4774
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4774?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4774?af=R
An existence‐uniqueness result for the pure binary collisional breakage equation
The study of collision‐induced breakage phenomenon in the particulate process has much current interest. This is an important process arising in many engineering disciplines. In this work, the existence of continuous solution of the pure collisional breakage model is developed beneath some restrictions on the breakage kernels. Furthermore, the mass conservation and uniqueness of solution are investigated in the absence of “shattering transition.” The underlying theory is based on the compactness result of Arzelà‐Ascoli and Banach contraction mapping principle.
JayantaPaul
,
JitendraKumar
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/nyVL3qhyxDc/mma.4775
Volume 41, Issue 7, Page 2715-2732, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2715-2732, 15 May 2018. <br/>
An existence‐uniqueness result for the pure binary collisional breakage equation
doi:10.1002/mma.4775
Mathematical Methods in the Applied Sciences
2018-02-19T08:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-02-19T08:00:00Z
2018-02-19T08:00:00Z
10.1002/mma.4775
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4775?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4775?af=R
Inverse problem for a space‐time fractional diffusion equation: Application of fractional Sturm‐Liouville operator
An inverse problem of determining a time‐dependent source term from the total energy measurement of the system (the over‐specified condition) for a space‐time fractional diffusion equation is considered. The space‐time fractional diffusion equation is obtained from classical diffusion equation by replacing time derivative with fractional‐order time derivative and Sturm‐Liouville operator by fractional‐order Sturm‐Liouville operator. The existence and uniqueness results are proved by using eigenfunction expansion method. Several special cases are discussed, and particular examples are provided.
MuhammadAli
,
SaraAziz
,
Salman A.Malik
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/8EkCrPT2BYY/mma.4776
Volume 41, Issue 7, Page 2733-2747, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2733-2747, 15 May 2018. <br/>
Inverse problem for a space‐time fractional diffusion equation: Application of fractional Sturm‐Liouville operator
doi:10.1002/mma.4776
Mathematical Methods in the Applied Sciences
2018-02-02T08:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-02-02T08:00:00Z
2018-02-02T08:00:00Z
10.1002/mma.4776
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4776?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4776?af=R
One‐level and two‐level finite element methods for the Boussinesq problem
Previous works on the convergence of numerical methods for the Boussinesq problem were conducted, while the optimal L2‐norm error estimates for the velocity and temperature are still lacked. In this paper, the backward Euler scheme is used to discrete the time terms, standard Galerkin finite element method is adopted to approximate the variables. The MINI element is used to approximate the velocity and pressure, the temperature field is simulated by the linear polynomial. Under some restriction on the time step, we firstly present the optimal L2 error estimates of approximate solutions. Secondly, two‐level method based on Stokes iteration for the Boussinesq problem is developed and the corresponding convergence results are presented. By this method, the original problem is decoupled into two small linear subproblems. Compared with the standard Galerkin method, the two‐level method not only keeps good accuracy but also saves a lot of computational cost. Finally, some numerical examples are provided to support the established theoretical analysis.
TongZhang
,
TaoJiang
,
JinYunYuan
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/aFMhecBKWLU/mma.4777
Volume 41, Issue 7, Page 2748-2768, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2748-2768, 15 May 2018. <br/>
One‐level and two‐level finite element methods for the Boussinesq problem
doi:10.1002/mma.4777
Mathematical Methods in the Applied Sciences
2018-02-02T08:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-02-02T08:00:00Z
2018-02-02T08:00:00Z
10.1002/mma.4777
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4777?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4777?af=R
Recurrent solutions of the linearly coupled complex cubic‐quintic Ginzburg‐Landau equations
In this paper, we will establish the bounded solutions, periodic solutions, quasiperiodic solutions, almost periodic solutions, and almost automorphic solutions for linearly coupled complex cubic‐quintic Ginzburg‐Landau equations, under suitable conditions. The main difficulty is the nonlinear terms in the equations that are not Lipschitz‐continuity, traditional methods cannot deal with the difficulty in our problem. We overcome this difficulty by the Galerkin approach, energy estimate method, and refined inequality technique.
PengGao
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/tDbqMYDMwfU/mma.4778
Volume 41, Issue 7, Page 2769-2794, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2769-2794, 15 May 2018. <br/>
Recurrent solutions of the linearly coupled complex cubic‐quintic Ginzburg‐Landau equations
doi:10.1002/mma.4778
Mathematical Methods in the Applied Sciences
2018-02-06T08:00:00Z
Mathematical Methods in the Applied Sciences
41
7
2018-02-06T08:00:00Z
2018-02-06T08:00:00Z
10.1002/mma.4778
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4778?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4778?af=R
Issue Information
No abstract is available for this article.
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/KHlYKn9lm5A/mma.4578
Volume 41, Issue 7, Page 2531-2534, 15 May 2018.

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Mathematical Methods in the Applied Sciences, Volume 41, Issue 7, Page 2531-2534, 15 May 2018. <br/>
Issue Information
doi:10.1002/mma.4578
Mathematical Methods in the Applied Sciences
2018-04-03T02:26:04Z
Mathematical Methods in the Applied Sciences
41
7
2018-04-03T02:26:04Z
2018-04-03T02:26:04Z
10.1002/mma.4578
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4578?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4578?af=R
Existence and zero‐electron‐mass limit of strong solutions to the stationary compressible Navier‐Stokes‐Poisson equation with large external force
In this study, we consider a viscous compressible model of plasma and semiconductors, which is expressed as a compressible Navier‐Stokes‐Poisson equation. We prove that there exists a strong solution to the boundary value problem of the steady compressible Navier‐Stokes‐Poisson equation with large external forces in bounded domain, provided that the ratio of the electron/ions mass is appropriately small. Moreover, the zero‐electron‐mass limit of the strong solutions is rigorously verified. The main idea in the proof is to split the original equation into 4 parts, a system of stationary incompressible Navier‐Stokes equations with large forces, a system of stationary compressible Navier‐Stokes equations with small forces, coupled with 2 Poisson equations. Based on the known results about linear incompressible Navier‐Stokes equation, linear compressible Navier‐Stokes, linear transport, and Poisson equations, we try to establish uniform in the ratio of the electron/ions mass a priori estimates. Further, using Schauder fixed point theorem, we can show the existence of a strong solution to the boundary value problem of the steady compressible Navier‐Stokes‐Poisson equation with large external forces. At the same time, from the uniform a priori estimates, we present the zero‐electron‐mass limit of the strong solutions, which converge to the solutions of the corresponding incompressible Navier‐Stokes‐Poisson equations.
YepingLi
,
JieLiao
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/dLU7puNGDEc/mma.4634
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Existence and zero‐electron‐mass limit of strong solutions to the stationary compressible Navier‐Stokes‐Poisson equation with large external force
doi:10.1002/mma.4634
Mathematical Methods in the Applied Sciences
2017-10-26T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-26T07:00:00Z
2017-10-26T07:00:00Z
10.1002/mma.4634
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4634?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4634?af=R
Analysis of the large‐n limit of multiple orthogonal polynomials and non‐intersecting Brownian motions
Abstract
In this work, we use the connection between families of multiple orthogonal polynomials with respect to a certain set of weights and random matrix models with external sources to determine the eigenvalue density and its support in the large‐n limit. These results are also applied to a model of non‐intersecting Brownian motions starting from a fix point. Copyright © 2010 John Wiley & Sons, Ltd.
L. Martínez
Alonso
,
E.
Medina
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/FSKGM5gS2jU/mma.1392
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Analysis of the large‐n limit of multiple orthogonal polynomials and non‐intersecting Brownian motions
doi:10.1002/mma.1392
Mathematical Methods in the Applied Sciences
2010-10-28T07:00:00Z
Mathematical Methods in the Applied Sciences
2010-10-28T07:00:00Z
2010-10-28T07:00:00Z
10.1002/mma.1392
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.1392?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.1392?af=R
Traveling wave solutions of the K(m, n) equation with generalized evolution
Abstract
We have obtained traveling wave solutions of a K(m, n) equation with generalized evolution. A catalogue of new exact solutions are given. A set of solitons, kinks, antikinks and compactons are derived. Copyright © 2010 John Wiley & Sons, Ltd.
M. S.
Bruzón
,
M. L.
Gandarias
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/n25Oy_2exSQ/mma.1339
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Traveling wave solutions of the K(m, n) equation with generalized evolution
doi:10.1002/mma.1339
Mathematical Methods in the Applied Sciences
2018-01-07T06:03:44Z
Mathematical Methods in the Applied Sciences
2018-01-07T06:03:44Z
2018-01-07T06:03:44Z
10.1002/mma.1339
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.1339?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.1339?af=R
Traveling wave solutions for a generalized Ostrovsky equation
Abstract
In this paper looking for traveling wave solutions, we find that when the polynomial of velocity is quintic the generalized Ostrovsky equation (GOE) has abundant exact solutions that can be expressed in terms of the Jacobi elliptic functions. Hence, the GOE has a plenty of periodic waves, solitary waves, compactons, etc. These solutions are derived from the solutions of a simple non‐linear ordinary differential equation. Copyright © 2010 John Wiley & Sons, Ltd.
M. L.
Gandarias
,
M. S.
Bruzon
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/kKr38M2aOrQ/mma.1337
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Traveling wave solutions for a generalized Ostrovsky equation
doi:10.1002/mma.1337
Mathematical Methods in the Applied Sciences
2018-01-07T06:03:44Z
Mathematical Methods in the Applied Sciences
2018-01-07T06:03:44Z
2018-01-07T06:03:44Z
10.1002/mma.1337
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.1337?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.1337?af=R
Optimal control and basic reproduction numbers for a compartmental spatial multipatch dengue model
Dengue is a vector‐borne viral disease increasing dramatically over the past years due to improvement in human mobility. In this work, a multipatch model for dengue transmission dynamics is studied, and by that, the control efforts to minimize the disease spread by host and vector control are investigated. For this model, the basic reproduction number is derived, giving a choice for parameters in the endemic case. The multipatch system models the host movement within the patches, which coupled via a residence‐time budgeting matrix P. Numerical results confirm that the control mechanism embedded in incidence rates of the disease transmission effectively reduces the spread of the disease.
WolfgangBock
,
YashikaJayathunga
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/2GYW1i0M_CQ/mma.4812
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Optimal control and basic reproduction numbers for a compartmental spatial multipatch dengue model
doi:10.1002/mma.4812
Mathematical Methods in the Applied Sciences
2018-02-27T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-27T08:00:00Z
2018-02-27T08:00:00Z
10.1002/mma.4812
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4812?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4812?af=R
Exact results for discrete dynamical systems on a pair of contours
The study of discrete model of movement on a single contour, equivalent to CA 184 in terms of Wolfram cellular automata classification, was conducted in the late 1990s and early 2000s. In similar formulations of problems for contour networks, conflicts of movement take place in nodes. These problems have been poorly studied so far. However, they are very interesting for scientific and research applications relating to the flow theory (traffic, development of new materials, energy metabolism in the body). In this paper, results are obtained for the simplest contour network. This network is a pair of contours with common node. The supporter of the system consists of 2 contours with a common point (node). Particles move on their contour in accordance with rule 184 or 240 of Wolfram cellular automata. We consider the system with a common cell (simple node) or common point between 2 cells on each contour (alternating node). We have developed approaches to the study of two‐contour system such that these approaches can be used to the study of contour networks with more complex architecture. We have obtained the following criterion of that the system comes to the state of free movement (self‐organization). The criterion of self‐organization is inequality ρ1+ρ2≤1/2 in the case of rule CA 184 and simple node and inequality ρ1+ρ2≤1 in the case of rule CA 240 and alternating node. In the general case, presence of self‐organization depends on the initial state of the system. Velocities of particles have been found for different rules of movement. Prospects of future research and possible application are outlined.
Alexander P.Buslaev
,
Alexander G.Tatashev
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/AXIEXsb05zY/mma.4822
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Exact results for discrete dynamical systems on a pair of contours
doi:10.1002/mma.4822
Mathematical Methods in the Applied Sciences
2018-02-27T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-27T08:00:00Z
2018-02-27T08:00:00Z
10.1002/mma.4822
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4822?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4822?af=R
A series of the solutions for the Heisenberg ferromagnetic spin chain equation
The Heisenberg ferromagnetic spin chain equation is investigated. By applying the improved F‐expansion method (Exp‐function method) and the Jacobi elliptic method, respectively, a series of exact solutions is constructed. The parametric conditions of the existence for the solutions are presented. These solutions comprise periodic wave solutions, doubly periodic wave solutions, and dark and bright soliton solutions, which are expressed in several different function forms, namely, Jacobi elliptic function, trigonometric function, hyperbolic function, and exponential function. The results illustrate that the Exp‐function method is a powerful symbolic algorithm to look for new solutions for the nonlinear evolution systems.
Yu‐LanMa
,
Bang‐QingLi
,
Ying‐YingFu
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/vhSUPE56lVw/mma.4818
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
A series of the solutions for the Heisenberg ferromagnetic spin chain equation
doi:10.1002/mma.4818
Mathematical Methods in the Applied Sciences
2018-02-27T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-27T08:00:00Z
2018-02-27T08:00:00Z
10.1002/mma.4818
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4818?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4818?af=R
Global existence and asymptotic behavior of classical solutions for a 3D two‐species chemotaxis‐Stokes system with competitive kinetics
This paper considers the 2‐species chemotaxis‐Stokes system with competitive kinetics
under homogeneous Neumann boundary conditions in a 3‐dimensional bounded domain
with smooth boundary. Both chemotaxis‐fluid systems and 2‐species chemotaxis systems with competitive terms were studied by many mathematicians. However, there have not been rich results on coupled 2‐species–fluid systems. Recently, global existence and asymptotic stability in the above problem with (u·∇)u in the fluid equation were established in the 2‐dimensional case. The purpose of this paper is to give results for global existence, boundedness, and stabilization of solutions to the above system in the 3‐dimensional case when
is sufficiently small.
XinruCao
,
ShunsukeKurima
,
MasaakiMizukami
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/C3WRuYzj1dc/mma.4807
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Global existence and asymptotic behavior of classical solutions for a 3D two‐species chemotaxis‐Stokes system with competitive kinetics
doi:10.1002/mma.4807
Mathematical Methods in the Applied Sciences
2018-02-27T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-27T08:00:00Z
2018-02-27T08:00:00Z
10.1002/mma.4807
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4807?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4807?af=R
Graph‐theoretic method on the periodicity of multipatch dispersal predator‐prey system with Holling type‐II functional response
We study the periodicity of multipatch dispersal predator‐prey system with Holling type‐II functional response in this paper. By providing a new method, we overcome the difficulty to get the priori bounds estimation of unknown solutions of operator equation Lu=λNu. Graph theory with coincidence degree theory is used, and a sufficient criterion for the periodicity of the system is obtained. The criterion presented in this paper is closely related with topological structure of dispersal network and can be verified easily. Finally, a numerical example is also provided to verify the effectiveness of theoretical results.
ChunmeiZhang
,
YingGuo
,
TianruiChen
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/yCZ9zcuXDRY/mma.4819
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Graph‐theoretic method on the periodicity of multipatch dispersal predator‐prey system with Holling type‐II functional response
doi:10.1002/mma.4819
Mathematical Methods in the Applied Sciences
2018-02-27T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-27T08:00:00Z
2018-02-27T08:00:00Z
10.1002/mma.4819
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4819?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4819?af=R
Forced oscillation of sublinear impulsive differential equations via nonprincipal solution
In this paper, we give new oscillation criteria for forced sublinear impulsive differential equations of the form
where γ∈(0,1), under the assumption that associated homogenous linear equation
is nonoscillatory.
NaceriMostepha
,
AbdullahÖzbekler
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/Q2XxlLguDgA/mma.4823
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Forced oscillation of sublinear impulsive differential equations via nonprincipal solution
doi:10.1002/mma.4823
Mathematical Methods in the Applied Sciences
2018-02-27T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-27T08:00:00Z
2018-02-27T08:00:00Z
10.1002/mma.4823
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4823?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4823?af=R
Blow‐up phenomena for a class of fourth‐order nonlinear wave equations with a viscous damping term
This paper deals with the blow‐up phenomena for a class of fourth‐order nonlinear wave equations with a viscous damping term
with Ω = (0,1) and α > 0. Here, f(s) is a given nonlinear smooth function.
For 0 < α < p – 1, we prove that the blow‐up occurs in finite time for arbitrary positive initial energy and suitable initial data. This result extends the recent results obtained by Xu et al. (Applicable Analysis)(2013) and Chen and Lu (J. Math. Anal. Appl.)(2009). Copyright © 2015 John Wiley & Sons, Ltd.
AliKhelghati
,
KhadijehBaghaei
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/7N0sXHRNOZc/mma.3623
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Blow‐up phenomena for a class of fourth‐order nonlinear wave equations with a viscous damping term
doi:10.1002/mma.3623
Mathematical Methods in the Applied Sciences
2015-09-22T07:00:00Z
Mathematical Methods in the Applied Sciences
2015-09-22T07:00:00Z
2015-09-22T07:00:00Z
10.1002/mma.3623
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.3623?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.3623?af=R
A class of microscopic individual models corresponding to the macroscopic logistic growth
We study a class of microscopic models corresponding to the standard macroscopic logistic equation. The models at microscale refer to a number of interacting individuals and are in terms of linear evolution equations related to Markov jump processes. The asymptotic large time behavior for the microscopic models is obtained. Moreover, it is shown that any, even nonfactorized, initial probability density tends in the evolution to a factorized equilibrium probability density.
MirosławLachowicz
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/il2mJdUGyyY/mma.4680
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
A class of microscopic individual models corresponding to the macroscopic logistic growth
doi:10.1002/mma.4680
Mathematical Methods in the Applied Sciences
2017-11-21T08:00:00Z
Mathematical Methods in the Applied Sciences
2017-11-21T08:00:00Z
2017-11-21T08:00:00Z
10.1002/mma.4680
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4680?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4680?af=R
Multiplicative controllability of heat equations with the homogeneous Neumann boundary condition
We prove the controllability of the constant target to heat equations with the homogenous Neumann boundary condition via multiplicative controls. Our results show that the temperature of the surrounding medium plays a crucial role in the controllability of the heat transfer system.
WuQingzhe
,
LeiPeidong
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/Ybeq0dIWkrA/mma.4677
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Multiplicative controllability of heat equations with the homogeneous Neumann boundary condition
doi:10.1002/mma.4677
Mathematical Methods in the Applied Sciences
2017-11-24T08:00:00Z
Mathematical Methods in the Applied Sciences
2017-11-24T08:00:00Z
2017-11-24T08:00:00Z
10.1002/mma.4677
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4677?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4677?af=R
Invariant color features–based foreground segmentation for human‐computer interaction
Foreground segmentation is a critical early step in most human‐computer interaction applications notably in action and gesture recognition domain. In this paper, an approach to model background which based on luminance‐invariant color with an adaptive Gaussian mixture is proposed to discriminate foreground object from their background in complex scene. Firstly, the background model is learned based on the spectral properties of shadows and scene activity. Secondly, the shadow with the hypotheses on color invariance is adaptively set up and updated. Finally, the log‐likelihood measurement is to conduct the adaptation. Our experiments are performed on a wide range of practical applications of gesture and action recognition videos. Additionally, the proposed approach is efficient and more robust than premature state‐of‐the‐art with no sacrificing real‐time performance.
MahmoudElmezain
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/IOcODVexfv4/mma.4691
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Invariant color features–based foreground segmentation for human‐computer interaction
doi:10.1002/mma.4691
Mathematical Methods in the Applied Sciences
2017-11-27T08:00:00Z
Mathematical Methods in the Applied Sciences
2017-11-27T08:00:00Z
2017-11-27T08:00:00Z
10.1002/mma.4691
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4691?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4691?af=R
Modelling the dynamics of HIV‐related non‐Hodgkin lymphomas in the presence of HIV treatment and chemotherapy
Human immunodeficiency virus (HIV)/AIDS and cancer coexistence both in vivo and in vitro in a cancer‐immune environment leads to specific cytokines being produced by various immune cells and the cancer cells. Most of the studies have suggested that specific cytokines produced by the immune system cells and the tumor play an important role in the dynamics of non‐Hodgkin lymphomas (NHLs). In this paper, a mathematical model describing the NHL‐immune system interaction in the presence of the HIV, HIV treatment, and chemotherapy is developed. The formulated model, described by nonlinear ODEs, shows existence of multiple equilibria whose stability and bifurcation analysis are presented. From the bifurcation analysis, bistability regions are evident. We observe that with and without HIV treatment, the system results in a nonaggressive tumor size or aggressive tumor (full‐blown tumor) depending on the initial conditions. The results further suggest that at a low endemic state, patients can live for longer period with the tumor, which might explain why some patients can live with cancer for many years. However, initiation of HIV treatment in patients with NHL is observed to lower these endemic states of the tumor. Our results explain why late initiation of HIV treatment might not be helpful to NHL patients. We further investigated the effect of chemotherapy on the dynamics of the tumor. Our simulation results might explain why a few of these chemotherapeutic drugs are more effective when given at a slow continuous rate. The model provides a unique opportunity to influence policy on HIV‐related cancer treatment and management.
RosemaryAogo
,
F.Nyabadza
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/VcxPtuQ1tzg/mma.4566
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Modelling the dynamics of HIV‐related non‐Hodgkin lymphomas in the presence of HIV treatment and chemotherapy
doi:10.1002/mma.4566
Mathematical Methods in the Applied Sciences
2017-08-23T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-08-23T07:00:00Z
2017-08-23T07:00:00Z
10.1002/mma.4566
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4566?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4566?af=R
Laplace transform: a new approach in solving linear quaternion differential equations
The theory of real quaternion differential equations has recently received more attention, but significant challenges remain the non‐commutativity structure. They have numerous applications throughout engineering and physics. In the present investigation, the Laplace transform approach to solve the linear quaternion differential equations is achieved. Specifically, the process of solving a quaternion different equation is transformed to an algebraic quaternion problem. The Laplace transform makes solving linear ODEs and the related initial value problems much easier. It has two major advantages over the methods discussed in literature. The corresponding initial value problems can be solved without first determining a general solution. More importantly, a particularly powerful feature of this method is the use of the Heaviside functions. It is helpful in solving problems, which is represented by complicated quaternion periodic functions. Copyright © 2017 John Wiley & Sons, Ltd.
Zhen‐FengCai
,
Kit IanKou
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/SmVGWcN8nOo/mma.4415
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Laplace transform: a new approach in solving linear quaternion differential equations
doi:10.1002/mma.4415
Mathematical Methods in the Applied Sciences
2017-05-17T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-05-17T07:00:00Z
2017-05-17T07:00:00Z
10.1002/mma.4415
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4415?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4415?af=R
Optimal bed net use for a dengue disease model with mosquito seasonal pattern
Controversial results concerning the effectiveness of bed net in reducing dengue fever transmission make further research necessary in this direction. At this aim, we consider a mathematical model of dengue transmission where the use by individuals of insecticide‐treated bed nets is taken into account, combined or not with insecticide spraying. Furthermore, as climatic factors play a key role in mosquito‐borne diseases, we model the effect of seasonality through a periodic mosquito birth rate. We numerically investigate some specific scenarios according to different rainfall and mean temperature values. We set an optimal control problem to minimize the number of human infections and the cost of efforts placed into bed net adoption and maintenance and insecticide spraying. To assess the most appropriate strategy to eliminate dengue with minimum costs, we perform a comparative cost‐effectiveness analysis, which also shows how the cost‐benefit of intervention efforts is affected by changes in the amplitude of seasonal variation. One general result is that in any case the combination of bed net use and insecticide spraying produces the highest ratio of infections averted, whereas in terms of cost‐benefit only spraying campaigns should be implemented in control programs for regions with no large seasonality.
BrunoBuonomo
,
RossellaDella Marca
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/BaGxLG2j62Y/mma.4629
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Optimal bed net use for a dengue disease model with mosquito seasonal pattern
doi:10.1002/mma.4629
Mathematical Methods in the Applied Sciences
2017-10-19T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-19T07:00:00Z
2017-10-19T07:00:00Z
10.1002/mma.4629
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4629?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4629?af=R
Feature preserving multiresolution subdivision and simplification of point clouds: A conformal geometric algebra approach
Due to the huge volume and complex structure, simplification of point clouds is an important technique in practical applications. However, the traditional algorithms often lose geometric information and have no dynamic expanding structure. In this paper, a new simplification algorithm is proposed based on conformal geometric algebra. First of all, a multiresolution subdivision is constructed by the sphere tree, which computes the minimal bounding spheres with the help of k‐means clustering, and then 2 kinds of simplification methods with full advantages of distance computing convenience are applied to carry out self‐adapting simplification. Finally, several comparisons with original data or other algorithms are implemented from visualization to parameter contrast. The results show that the proposed algorithm has good effect not only on the local details but also on the overall error rate.
ShuaiYuan
,
ShuaiZhu
,
Dong‐ShuangLi
,
WenLuo
,
Zhao‐YuanYu
,
Lin‐WangYuan
,
D.Hildenbrand
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/ZOPEQ06F9Aw/mma.4616
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Feature preserving multiresolution subdivision and simplification of point clouds: A conformal geometric algebra approach
doi:10.1002/mma.4616
Mathematical Methods in the Applied Sciences
2017-09-27T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-09-27T07:00:00Z
2017-09-27T07:00:00Z
10.1002/mma.4616
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4616?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4616?af=R
Linear and cyclic codes over direct product of finite chain rings
We introduce a new type of linear and cyclic codes. These codes are defined over a direct product of 2 finite chain rings. The definition of these codes as certain submodules of the direct product of copies of these rings is given, and the cyclic property is defined. Cyclic codes can be seen as submodules of the direct product of polynomial rings. Generator matrices for linear codes and generator polynomials for cyclic codes are determined. Further, we study the concept of duality.
J.Borges
,
C.Fernández‐Córdoba
,
R.Ten‐Valls
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/k9m9AXYmaZY/mma.4491
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Linear and cyclic codes over direct product of finite chain rings
doi:10.1002/mma.4491
Mathematical Methods in the Applied Sciences
2017-07-19T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-07-19T07:00:00Z
2017-07-19T07:00:00Z
10.1002/mma.4491
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4491?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4491?af=R
Equiform spacelike normal curves according to equiform‐Bishop frame in
In this article, we present the equiform parameter and define the equiform‐Bishop frame in Minkowski 3‐space
. Additionally, we investigate the equiform‐Bishop formulas of the equiform spacelike case in Minkowski 3‐space. Furthermore, some results of equiform spacelike normal curves according to the equiform‐Bishop frame in
are considered.
Hoda K.El‐sayied
,
MervatElzawy
,
AymanElsharkawy
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/sHyvzC2pdM4/mma.4618
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Equiform spacelike normal curves according to equiform‐Bishop frame in
doi:10.1002/mma.4618
Mathematical Methods in the Applied Sciences
2017-10-09T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-09T07:00:00Z
2017-10-09T07:00:00Z
10.1002/mma.4618
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4618?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4618?af=R
An approach for solving an inverse spherical two‐phase Stefan problem arising in modeling of electric contact phenomena
In this paper, a model problem that can be used for mathematical modeling and investigation of arc phenomena in electrical contacts is considered. An analytical approach for the solution of a two‐phase inverse spherical Stefan problem where along with unknown temperature functions heat flux function has to be determined is presented. The suggested solution method is obtained from a new form of integral error function and its properties that are represented in the form of series whose coefficients have to be determined. Using integral error function and collocation method, the solution of a test problem is obtained in exact form and approximately.
Merey M.Sarsengeldin
,
Abdullah S.Erdogan
,
Targyn A.Nauryz
,
HassanNouri
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/HjjZ_SDqN70/mma.4649
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
An approach for solving an inverse spherical two‐phase Stefan problem arising in modeling of electric contact phenomena
doi:10.1002/mma.4649
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
2017-10-27T07:00:00Z
10.1002/mma.4649
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4649?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4649?af=R
Nonlinear iteration method for proximal split feasibility problems
The purpose of this paper is to introduce iterative algorithm which is a combination of hybrid viscosity approximation method and the hybrid steepest‐descent method for solving proximal split feasibility problems and obtain the strong convergence of the sequences generated by the iterative scheme under certain weaker conditions in Hilbert spaces. Our results improve many recent results on the topic in the literature. Several numerical experiments are presented to illustrate the effectiveness of our proposed algorithm, and these numerical results show that our result is computationally easier and faster than previously known results on proximal split feasibility problem.
YekiniShehu
,
Olaniyi S.Iyiola
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/twn034cHoqI/mma.4644
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Nonlinear iteration method for proximal split feasibility problems
doi:10.1002/mma.4644
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
2017-10-27T07:00:00Z
10.1002/mma.4644
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4644?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4644?af=R
Fisheye correction by CGA non‐linear transformation
We provide a non‐linear image transformation by means of conformal geometric algebra (CGA) elements and operations. We show the correspondence to the fisheye correction algorithms; more precisely, we prove the proportionality of classical models with CGA algorithm and provide exact formula in terms of CGA. Consequently, we show that the geometric construction allows to determine the inverse model quite universally.
JaroslavHrdina
,
RadomilMatoušek
,
AlešNávrat
,
PetrVašík
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/Orls-ZWNwGo/mma.4455
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Fisheye correction by CGA non‐linear transformation
doi:10.1002/mma.4455
Mathematical Methods in the Applied Sciences
2017-06-13T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-06-13T07:00:00Z
2017-06-13T07:00:00Z
10.1002/mma.4455
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4455?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4455?af=R
Locally symmetric f−associated standard static spacetimes
In this note, we study and explore locally symmetric f−associated standard static spacetimes If×M. Necessary and sufficient conditions on f−associated standard static spacetimes to be locally symmetric are derived. Some implications for these conditions are considered.
H. K.El‐Sayied
,
SamehShenawy
,
NohaSyied
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/RMsyYTZOjoo/mma.4564
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Locally symmetric f−associated standard static spacetimes
doi:10.1002/mma.4564
Mathematical Methods in the Applied Sciences
2017-08-23T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-08-23T07:00:00Z
2017-08-23T07:00:00Z
10.1002/mma.4564
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4564?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4564?af=R
On the chemical meaning of some growth models possessing Gompertzian‐type property
Growth models are often used when modelling various processes in life sciences, ecology, demography, social sciences, etc. Dynamical growth models are usually formulated in terms of an ODE (system of ODS's) or by an explicit solution to an ODE, such as the logistic, Gompertz, and Richardson growth models. To choose a suitable growth model it is useful to know the physics‐chemical meaning of the model. In many situations this meaning is best expressed by means of a reaction network that possibly induces the dynamical growth model via mass action kinetics. Such reaction networks are well known for a number of growth models, such as the saturation‐decay and the logistic Verhulst models. However, no such reaction networks exist for the Gompertz growth model. In this work we propose some reaction networks using mass action kinetics that induce growth models that are (in certain sense) close to the Gompertz model. The discussion of these reaction networks aims to a better understanding of the chemical properties of the Gompertz model and “Gompertzian‐type” growth models. Our method can be considered as an extension of the work of previous authors who “recasted” the Gompertz differential equation into a dynamical system of two differential equations that, apart of the basic species variable, involve an additional variable that can be interpreted as a “resource.” Two new growth models based on mass action kinetics are introduced and studied in comparison with the Gompertz model. Numerical computations are presented using some specialized software tools.
RoumenAnguelov
,
MilenBorisov
,
AntonIliev
,
NikolayKyurkchiev
,
SvetoslavMarkov
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/9GJz8hLfw0k/mma.4539
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
On the chemical meaning of some growth models possessing Gompertzian‐type property
doi:10.1002/mma.4539
Mathematical Methods in the Applied Sciences
2017-08-17T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-08-17T07:00:00Z
2017-08-17T07:00:00Z
10.1002/mma.4539
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4539?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4539?af=R
Stability and Hopf bifurcation of a delayed viral infection model with logistic growth and saturated immune impairment
In this paper, the stability and Hopf bifurcation of a delayed viral infection model with logistic growth and saturated immune impairment is studied. It is shown that there exist 3 equilibria. The sufficient conditions for local asymptotic stability of the infection‐free equilibrium and no‐immune equilibrium are given. We also discussed the local stability of positive equilibrium and the existence of Hopf bifurcation. Moreover, the direction and stability of Hopf bifurcation is obtained by using standard form theory and the center manifold theorem. Finally, numerical simulations are performed to verify the theoretical conclusions.
JianwenJia
,
JieLi
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/FAFU9FJrccw/mma.4648
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Stability and Hopf bifurcation of a delayed viral infection model with logistic growth and saturated immune impairment
doi:10.1002/mma.4648
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
2017-10-27T07:00:00Z
10.1002/mma.4648
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4648?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4648?af=R
Solution of fractional order heat equation via triple Laplace transform in 2 dimensions
In this article, we introduce the triple Laplace transform for the solution of a class of fractional order partial differential equations. As a consequence, fractional order homogeneous heat equation in 2 dimensions is investigated in detail. The corresponding solution is obtained by using the aforementioned triple Laplace transform, which is the generalization of double Laplace transform. Numerical plots to the concerned solutions are provided to demonstrate our results.
TahirKhan
,
KamalShah
,
AmirKhan
,
Rahmat AliKhan
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/BI8AWlv34v4/mma.4646
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Solution of fractional order heat equation via triple Laplace transform in 2 dimensions
doi:10.1002/mma.4646
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
2017-10-27T07:00:00Z
10.1002/mma.4646
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4646?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4646?af=R
Fractional model and solution for the Black‐Scholes equation
This work presents a new model of the fractional Black‐Scholes equation by using the right fractional derivatives to model the terminal value problem. Through nondimensionalization and variable replacements, we convert the terminal value problem into an initial value problem for a fractional convection diffusion equation. Then the problem is solved by using the Fourier‐Laplace transform. The fundamental solutions of the derived initial value problem are given and simulated and display a slow anomalous diffusion in the fractional case.
Jun‐ShengDuan
,
LeiLu
,
LianChen
,
Yu‐LianAn
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/zv7ZIUrv__I/mma.4638
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Fractional model and solution for the Black‐Scholes equation
doi:10.1002/mma.4638
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
2017-10-27T07:00:00Z
10.1002/mma.4638
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4638?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4638?af=R
Geometric algebras for uniform colour spaces
We show the advantages and disadvantages of specific geometric algebras and propose practical implementations in colorimetry. The colour space CIEL∗a∗b∗ is endowed by an Euclidean metric; the neighbourhood of a point is therefore a sphere, and the choice of a conformal geometric algebra is thus obvious. For the colour space CMC(l:c), the neighbourhood is an ellipsoid and thus we choose the quadric geometric algebra to linearize the metric by means of the scalar product. We discuss the distance problems in colour spaces with these particular geometric algebras applied.
JaroslavHrdina
,
PetrVašík
,
RadomilMatoušek
,
AlešNávrat
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/4qhBNaYO1io/mma.4489
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Geometric algebras for uniform colour spaces
doi:10.1002/mma.4489
Mathematical Methods in the Applied Sciences
2017-07-03T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-07-03T07:00:00Z
2017-07-03T07:00:00Z
10.1002/mma.4489
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4489?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4489?af=R
Relative controllability in fractional differential equations with pure delay
In this paper, we study relative controllability of fractional differential equations with pure delay. Delayed Gram‐type matrix criterion and rank criterion for relative controllability are established with the help of the explicit solution formula. An example is given to illustrate our theoretical results.
MengmengLi
,
AmarDebbouche
,
JinRongWang
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/yFcfpbnzgQw/mma.4651
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Relative controllability in fractional differential equations with pure delay
doi:10.1002/mma.4651
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
2017-10-27T07:00:00Z
10.1002/mma.4651
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4651?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4651?af=R
Existence and uniqueness of the solution of linear degenerate PDEs in weighted Sobolev space with nonhomogeneous boundary condition
We prove the existence and uniqueness of solution to the nonhomogeneous degenerate elliptic PDE of second order with boundary data in weighted Orlicz‐Slobodetskii space. Our goal is to consider the possibly general assumptions on the involved constraints: the class of weights, the boundary data, and the admitted coefficients. We also provide some estimates on the spectrum of our degenerate elliptic operator.
Raj NarayanDhara
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/x5jB3V78bNQ/mma.4627
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Existence and uniqueness of the solution of linear degenerate PDEs in weighted Sobolev space with nonhomogeneous boundary condition
doi:10.1002/mma.4627
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
2017-10-27T07:00:00Z
10.1002/mma.4627
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4627?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4627?af=R
Stabilization of delayed Cohen‐Grossberg BAM neural networks
This paper deals with finite‐time stabilization results of delayed Cohen‐Grossberg BAM neural networks under suitable control schemes. We propose a state‐feedback controller together with an adaptive‐feedback controller to stabilize the system of delayed Cohen‐Grossberg BAM neural networks. Stabilization conditions are derived by using Lyapunov function and some algebraic conditions. We also estimate the upper bound of settling time functional for the stabilization, which depends on the controller schemes and system parameters. Two illustrative examples and numerical simulations are given to validate the success of the derived theoretical results.
RajivganthiChinnathambi
,
Fathalla A.Rihan
,
LakshmananShanmugam
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/z9Hh_ZrQbzM/mma.4630
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Stabilization of delayed Cohen‐Grossberg BAM neural networks
doi:10.1002/mma.4630
Mathematical Methods in the Applied Sciences
2017-11-03T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-11-03T07:00:00Z
2017-11-03T07:00:00Z
10.1002/mma.4630
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4630?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4630?af=R
Generalized sampling expansions associated with quaternion Fourier transform
Quaternion‐valued signals along with quaternion Fourier transforms (QFT) provide an effective framework for vector‐valued signal and image processing. However, the sampling theory of quaternion‐valued signals has not been well developed. In this paper, we present the generalized sampling expansions associated with QFT by using the generalized translation and convolution. We show that a σ‐bandlimited quaternion‐valued signal in QFT sense can be reconstructed from the samples of output signals of M linear systems based on QFT. Quaternion linear canonical transform is a generalization of QFT with six parameters. Using the relationship between QFT, we derive the sampling formula for σ‐bandlimited quaternion‐valued signal in quaternion linear canonical transform sense. Examples are given to illustrate our results. Copyright © 2017 John Wiley & Sons, Ltd.
DongCheng
,
Kit IanKou
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/81Fq8BsWFao/mma.4423
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Generalized sampling expansions associated with quaternion Fourier transform
doi:10.1002/mma.4423
Mathematical Methods in the Applied Sciences
2017-05-25T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-05-25T07:00:00Z
2017-05-25T07:00:00Z
10.1002/mma.4423
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4423?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4423?af=R
The definition and measurement of electromagnetic chirality
The notion of electromagnetic chirality, recently introduced in the Physics literature, is investigated in the framework of scattering of time‐harmonic electromagnetic waves by bounded scatterers. This type of chirality is defined as a property of the farfield operator. The relation of this novel notion of chirality to that of geometric chirality of the scatterer is explored. It is shown for several examples of scattering problems that geometric achirality implies electromagnetic achirality. On the other hand, a chiral material law, as for example given by the Drude‐Born‐Fedorov model, yields an electromagnetically chiral scatterer. Electromagnetic chirality also allows the definition of a measure. Scatterers invisible to fields of one helicity turn out to be maximally chiral with respect to this measure. For a certain class of electromagnetically chiral scatterers, we provide numerical calculations of the measure of chirality through solutions of scattering problems computed by a boundary element method.
TiloArens
,
FelixHagemann
,
FrankHettlich
,
AndreasKirsch
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/POhIoSUzXQA/mma.4628
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
The definition and measurement of electromagnetic chirality
doi:10.1002/mma.4628
Mathematical Methods in the Applied Sciences
2017-10-26T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-26T07:00:00Z
2017-10-26T07:00:00Z
10.1002/mma.4628
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4628?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4628?af=R
Clifford algebra and discretizable distance geometry
Protein structure calculations using nuclear magnetic resonance (NMR) experiments are one of the most important applications of distance geometry. The chemistry of proteins and the NMR data allow us to define an atomic order, such that the distances related to the pairs of atoms {i−3,i},{i−2,i},{i−1,i} are available, and solve the problem iteratively using a combinatorial method, called branch‐and‐prune. The main step of BP algorithm is to intersect three spheres centered at the positions for atoms i−3,i−2,i, with radius given by the atomic distances di−3,i,di−2,i,di−1,i, respectively, to obtain the position for atom i. Because of uncertainty in NMR data, some of the distances di−3,i may not be precise or even not be available. Using conformal Clifford algebra, in addition to take care of NMR uncertainties, which implies that we have to calculate sphere intersections considering that their centers and radius may not be fixed anymore, we consider a more flexible atomic order, where distances di−3,i are replaced by dj,i, where j⩽i−3. Copyright © 2017 John Wiley & Sons, Ltd.
R.Alves
,
C.Lavor
,
C.Souza
,
M.Souza
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/uwTflDN71sU/mma.4422
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Clifford algebra and discretizable distance geometry
doi:10.1002/mma.4422
Mathematical Methods in the Applied Sciences
2017-05-11T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-05-11T07:00:00Z
2017-05-11T07:00:00Z
10.1002/mma.4422
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4422?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4422?af=R
Weighted membership based on matrix relation
Deciding participation level of a component to dubious information is essential, particularly all things considered are displaying issues. This paper will present a participation capacity of components that has a place with unverifiable information. The fundamental instrument is the similarity classes that came about because of the likeness connection of a data framework. We will likewise express a few properties and an examination between our work and the past one.
AssemElshenawy
,
M.Kamel EL‐Sayed
,
E.Elsodany
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/EPiD5sPjLbI/mma.4631
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Weighted membership based on matrix relation
doi:10.1002/mma.4631
Mathematical Methods in the Applied Sciences
2017-10-13T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-13T07:00:00Z
2017-10-13T07:00:00Z
10.1002/mma.4631
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4631?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4631?af=R
Multiple sign‐changing solutions for Kirchhoff‐type equations in
In this paper, we study the following Kirchhoff‐type equations
where a>0,b⩾0,4<p<2∗=6, and
. Under some suitable conditions, we prove that the equation has three solutions of mountain pass type: one positive, one negative, and sign‐changing. Furthermore, this problem has infinitely many sign‐changing solutions. Copyright © 2017 John Wiley & Sons, Ltd.
XiumeiHe
,
XianWu
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/v3CMlUl0kIs/mma.4346
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Multiple sign‐changing solutions for Kirchhoff‐type equations in
doi:10.1002/mma.4346
Mathematical Methods in the Applied Sciences
2017-02-07T08:00:00Z
Mathematical Methods in the Applied Sciences
2017-02-07T08:00:00Z
2017-02-07T08:00:00Z
10.1002/mma.4346
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4346?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4346?af=R
Phase‐based edge detection algorithms
Quaternion analytic signal is regarded as a generalization of analytic signal from 1D to 4D space. It is defined by an original signal with its quaternion partial and total Hilbert transforms. The quaternion analytic signal provides the signal features representation, such as the local amplitude and local phase angle, the latter includes the structural information of the original signal. The aim of the present study is twofold. Firstly, it attempts to analyze the Plemelj‐Sokhotzkis formula associated with quaternion Fourier transform and quaternion linear canonical transform. With these formulae, we show that the quaternion analytic signals are the boundary values of quaternion Hardy functions in the upper half space of 2 complex variables space. Secondly, the quaternion analytic signal can be extended to the quaternion Hardy function in the upper half space of 2 complex variables space. Two novel types of phase‐based edge detectors are proposed, namely, quaternion differential phase angle and quaternion differential phase congruency methods. In terms of peak signal‐to‐noise ratio and structural similarity index measure, comparisons with competing methods on real‐world images consistently show the superiority of the proposed methods.
Xiao‐XiaoHu
,
Kit IanKou
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/IsqveY6lNy4/mma.4567
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Phase‐based edge detection algorithms
doi:10.1002/mma.4567
Mathematical Methods in the Applied Sciences
2017-09-11T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-09-11T07:00:00Z
2017-09-11T07:00:00Z
10.1002/mma.4567
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4567?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4567?af=R
Extensions of the Glivenko‐type congruences on a Stone lattice
In this paper, the notions of annulets and normal filters are introduced in Stone lattices and their properties are studied. A set of equivalent conditions is obtained to characterize normal filters of a Stone lattice. The extensions of the Glivenko‐type congruences on a Stone lattice are investigated via annulets and normal filters. A description of the lattice of all extensions of the Glivenko‐type congruences on a Stone lattice is given. A one‐to‐one correspondence between the class of all extensions and the class of all normal filters of a Stone lattice is obtained. Finally, we observe that every 2 extensions of the Glivenko‐type congruences are permutable.
Abd El‐MohsenBadawy
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/fEHWTWuUM0E/mma.4492
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Extensions of the Glivenko‐type congruences on a Stone lattice
doi:10.1002/mma.4492
Mathematical Methods in the Applied Sciences
2017-07-13T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-07-13T07:00:00Z
2017-07-13T07:00:00Z
10.1002/mma.4492
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4492?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4492?af=R
Prolate spheroidal wave functions associated with the quaternionic Fourier transform
One of the fundamental problems in communications is finding the energy distribution of signals in time and frequency domains. It should therefore be of great interest to find the quaternionic signal whose time‐frequency energy distribution is most concentrated in a given time‐frequency domain. The present paper finds a new kind of quaternionic signals whose energy concentration is maximal in both time and frequency under the quaternionic Fourier transform. The new signals are a generalization of the classical prolate spheroidal wave functions to a quaternionic space, which are called the quaternionic prolate spheroidal wave functions. The purpose of this paper is to present the definition and fundamental properties of the quaternionic prolate spheroidal wave functions and to show that they can reach the extreme case within the energy concentration problem both from the theoretical and experimental description. The superiority of the proposed results can be widely applied to the application of 4D valued problems. In particular, these functions are shown as an effective method for bandlimited quaternionic signals relying on the extrapolation problem. Copyright © 2017 John Wiley & Sons, Ltd.
CuimingZou
,
Kit IanKou
,
JoaoMorais
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/as4bOOYNqPA/mma.4439
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Prolate spheroidal wave functions associated with the quaternionic Fourier transform
doi:10.1002/mma.4439
Mathematical Methods in the Applied Sciences
2017-05-23T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-05-23T07:00:00Z
2017-05-23T07:00:00Z
10.1002/mma.4439
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4439?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4439?af=R
Dynamical properties of a nonautonomous double pendulum model
This research was motivated by a real technological problem of vibrations of bodies hanging on chains or ropes in tubes or spaces limited by walls or other bodies. The studied system has two degrees of freedom. It is formed by two pendulums moving between two walls. Its movement is governed by a set of nonlinear ordinary differential equations. The results of the simulations shown that the system exhibits regular and chaotic movement. The simulations were performed for 3 excitation amplitudes and the range of the excitation frequencies between 1 and 30 rad s−1. The subject of the investigations was the determination of the character of the pendulums' motions and identification of their collisions with the sided walls.
MarekLampart
,
JaroslavZapoměl
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/KueEKnSzHrs/mma.4650
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Dynamical properties of a nonautonomous double pendulum model
doi:10.1002/mma.4650
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
2017-10-27T07:00:00Z
10.1002/mma.4650
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4650?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4650?af=R
Multisource multisink optimal evacuation routing with dynamic network changes: A geometric algebra approach
In this paper, we introduced geometric algebra to develop a new multisource multisink optimal evacuation route planning method. A dynamically updatable data structure and a matrix‐based greedy searching algorithm were developed to support the dynamic evacuation route searching for multiple evacuees. Unlike most existing methods, which iteratively search the optimal path for each evacuee, our method can search all the possible evacuation routes synchronously. The dynamic updating of the network topography, weights, and constraints during the route searching is direct and flexible, thus can support the evacuation in dynamic cases. The method is demonstrated and tested by an evacuation case in the city of Changzhou, China. The simulation experiments suggest that the method can well support the dynamic route searching in large scales with dynamic weight changes.
ZhaoyuanYu
,
DongshuangLi
,
ShuaiZhu
,
WenLuo
,
YongHu
,
LingwangYuan
,
AAristidou
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/eZAhL0fAnyw/mma.4465
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Multisource multisink optimal evacuation routing with dynamic network changes: A geometric algebra approach
doi:10.1002/mma.4465
Mathematical Methods in the Applied Sciences
2017-07-19T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-07-19T07:00:00Z
2017-07-19T07:00:00Z
10.1002/mma.4465
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4465?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4465?af=R
Vector field reconstruction via quaternionic setting
We propose the reconstruction of the solenoidal part of a vector field supported in the unit ball in 3 dimensions by using cone beam data from a curve surrounding it, and this curve satisfies the Tuy's condition of order 3. We use the quaternionic inversion formula to decompose the solenoidal part of a vector field into 2 parts. To recover the first one, which is the main part of the solenoidal component, another definition of a cone beam transform containing both Doppler and transverse data will be introduced. The second part will be reconstructed by using information from the first part as in Katsevich and Schuster's work with less data.
PatchareeWongsason
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/5dUR4yhVB8E/mma.4637
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Vector field reconstruction via quaternionic setting
doi:10.1002/mma.4637
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
2017-10-27T07:00:00Z
10.1002/mma.4637
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4637?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4637?af=R
Well‐posedness and convergence results for strong solution to a 3D‐regularized Boussinesq system
Analytical study to an alpha‐regularization of the Boussinesq system is performed using Fourier theory. Existence and uniqueness of strong solution are proved. Convergence results of the unique strong solution for the regularized Boussinesq system to the unique strong solution for the Boussinesq system are established as the regularizing parameter vanishes. The proofs are performed in the frequency space. We use energy methods, Friedrichs's approximation scheme, and Arselà–Ascoli compactness theorem. Copyright © 2016 John Wiley & Sons, Ltd.
AbdelkerimChaabani
,
RimNasfi
,
RidhaSelmi
,
MouniaZaabi
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/cx_tn-WPqSs/mma.3950
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Well‐posedness and convergence results for strong solution to a 3D‐regularized Boussinesq system
doi:10.1002/mma.3950
Mathematical Methods in the Applied Sciences
2016-04-14T07:00:00Z
Mathematical Methods in the Applied Sciences
2016-04-14T07:00:00Z
2016-04-14T07:00:00Z
10.1002/mma.3950
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.3950?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.3950?af=R
Modelling coevolution in ecological networks with adaptive dynamics
Coevolution can impose density‐dependent selection through reciprocal biotic interactions on the fitness of involved species, driving directional and disruptive trait evolution and rich evolutionary possibilities. Coevolution has since Darwin been considered a potential path leading to adaptive diversification that could explain the emergence of ecological networks of biotic interactions that harbour multiple interacting species (eg, pollination networks and food webs). Here, we present adaptive dynamics, a powerful tool of evolutionary invasion analysis that explores how quantitative traits undergo incremental evolution, to exploring the emergence of multi‐species networks through coevolution. Specifically, we exemplify the feasibility of using adaptive dynamics to investigate trait evolution in 4 ecological networks, driven, respectively, by resource competition, trophic interactions, as well as bipartite mutualistic and antagonistic interactions. We use a set of ordinary differential equations to describe, at different paces, the population dynamics and trait dynamics of involved species assemblages. Through computing ecological equilibrium, invasion fitness, selection gradient and evolutionary singularity, and testing for evolutionary stability and the coexistence criterion of mutual invasibility, we illustrate the typical evolutionary dynamics and the criteria of evolutionary stability and branching in these ecological networks. Results highlight the importance of the form of trait‐mediated interaction kernel (ie, interaction strength as a function of trait difference) to adaptive diversification in these coevolutionary systems. We conclude by advocating that biotic interactions between two species can indeed lead to diffuse and even escape‐and‐radiate coevolution, making the emerged ecological networks an ideal model for studying complex adaptive systems.
CangHui
,
Henintsoa O.Minoarivelo
,
PietroLandi
,
R.Anguelov
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/qxm_duz8Yc0/mma.4612
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Modelling coevolution in ecological networks with adaptive dynamics
doi:10.1002/mma.4612
Mathematical Methods in the Applied Sciences
2017-09-22T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-09-22T07:00:00Z
2017-09-22T07:00:00Z
10.1002/mma.4612
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4612?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4612?af=R
Numerical modeling of dynamics of a population system with time delay
Mathematical models of interacting populations are often constructed as systems of differential equations, which describe how populations change with time. Below we study such a model connected to the nonlinear dynamics of a system of populations in presence of time delay. The consequence of the presence of the time delay is that the nonlinear dynamics of the studied system become more rich, eg, new orbits in the phase space of the system arise, which are dependent on the time‐delay parameters. In more detail, we introduce a time delay and generalize the model system of differential equations for the interaction of 3 populations based on generalized Volterra equations in which the growth rates and competition coefficients of populations depend on the number of members of all populations. Then we solve numerically the system with and without time delay. We use a modification of the method of Adams for the numerical solution of the system of model equations with time delay. By appropriate selection of the parameters and initial conditions, we show the impact of the delay time on the dynamics of the studied population system.
I. N.Dushkov
,
I. P.Jordanov
,
N. K.Vitanov
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/FSRzbrN7jh8/mma.4553
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Numerical modeling of dynamics of a population system with time delay
doi:10.1002/mma.4553
Mathematical Methods in the Applied Sciences
2017-08-14T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-08-14T07:00:00Z
2017-08-14T07:00:00Z
10.1002/mma.4553
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4553?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4553?af=R
Increasing stability for the inverse problem for the Schrödinger equation
In this article, we study the increasing stability property for the determination of the potential in the Schrödinger equation from partial data. We shall assume that the inaccessible part of the boundary is flat, and homogeneous boundary condition is prescribed on this part. In contrast to earlier works, we are able to deal with the case when potentials have some Sobolev regularity and also need not be compactly supported inside the domain.
AnupamPal Choudhury
,
HorstHeck
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/gtk-nnlrZ9Y/mma.4632
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Increasing stability for the inverse problem for the Schrödinger equation
doi:10.1002/mma.4632
Mathematical Methods in the Applied Sciences
2017-10-19T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-19T07:00:00Z
2017-10-19T07:00:00Z
10.1002/mma.4632
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4632?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4632?af=R
Stabilization of a one‐dimensional wave equation with variable coefficient under non‐collocated control and delayed observation
In this paper, we consider stabilization of a 1‐dimensional wave equation with variable coefficient where non‐collocated boundary observation suffers from an arbitrary time delay. Since input and output are non‐collocated with each other, it is more complex to design the observer system. After showing well‐posedness of the open‐loop system, the observer and predictor systems are constructed to give the estimated state feedback controller. Different from the partial differential equation with constant coefficients, the variable coefficient causes mathematical difficulties of the stabilization problem. By the approach of Riesz basis property, it is shown that the closed‐loop system is stable exponentially. Numerical simulations demonstrate the effect of the stable controller. This paper is devoted to the wave equation with variable coefficients generalized of that with constant coefficients for delayed observation and non‐collocated control.
Kun‐YiYang
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/qs-R09t8ip0/mma.4654
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Stabilization of a one‐dimensional wave equation with variable coefficient under non‐collocated control and delayed observation
doi:10.1002/mma.4654
Mathematical Methods in the Applied Sciences
2017-11-03T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-11-03T07:00:00Z
2017-11-03T07:00:00Z
10.1002/mma.4654
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4654?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4654?af=R
On application of matrix summability to Fourier series
Bor has recently obtained a main theorem dealing with absolute weighted mean summability of Fourier series. In this paper, we generalized that theorem for
summability method. Also, some new and known results are obtained dealing with some basic summability methods.
SebnemYildiz
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/nJEW_ibEQZg/mma.4635
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
On application of matrix summability to Fourier series
doi:10.1002/mma.4635
Mathematical Methods in the Applied Sciences
2017-10-19T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-19T07:00:00Z
2017-10-19T07:00:00Z
10.1002/mma.4635
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4635?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4635?af=R
Antiperiodic solutions of fourth‐order impulsive differential equation
In this paper, the existence of antiperiodic solutions for fourth‐order impulsive differential equation is obtained by variational approaches and results on the auxiliary system. It is interesting that there is no growth restraint on nonlinear terms and impulsive terms. Besides, any minimizing sequence is bounded in a closed convex set of a space composed of Lipschitzian functions with the appearance of antiperiodic boundary value conditions.
YuTian
,
SuimingShang
,
QiangHuo
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/jtNeKTndBKQ/mma.4643
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Antiperiodic solutions of fourth‐order impulsive differential equation
doi:10.1002/mma.4643
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
2017-10-27T07:00:00Z
10.1002/mma.4643
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4643?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4643?af=R
An effective asymptotic method in the axisymmetric frictionless contact problem for an elastic layer of finite thickness
A brief review of asymptotic methods to deal with frictionless unilateral contact problems for an elastic layer of finite thickness is presented. Under the assumption that the contact radius is small with respect to the layer thickness, an effective asymptotic method is suggested for solving the unilateral contact problem with a priori unknown contact radius. A specific feature of the method is that the construction of an asymptotic approximation is reduced to a linear algebraic system with respect to integral characteristics (polymoments) of the contact pressure. As an example, the sixth‐order asymptotic model has been written out. Copyright © 2015 John Wiley & Sons, Ltd.
I. I.Argatov
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/fHEI8s49peM/mma.3782
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
An effective asymptotic method in the axisymmetric frictionless contact problem for an elastic layer of finite thickness
doi:10.1002/mma.3782
Mathematical Methods in the Applied Sciences
2015-11-10T08:00:00Z
Mathematical Methods in the Applied Sciences
2015-11-10T08:00:00Z
2015-11-10T08:00:00Z
10.1002/mma.3782
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.3782?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.3782?af=R
On a numerical algorithm for the solution of the radial Loewner equation
The Loewner partial differential equation provides a one‐parametric family of conformal maps on the unit disk. The images describe a flow of an expanding simply‐connected domain, called the Loewner flow, on the complex plane. In this paper, we present a numerical algorithm for solving the radial Loewner partial differential equation. The algorithm is applied to visualization of Loewner flows with the performance and precision. From the theoretical point of view, our algorithm is based on a recursive formula for determining coefficients of polynomial approximations. We prove that each coefficient converges to true values with reasonable regularity.
IkkeiHotta
,
HirokazuShimauchi
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/SturyCB6aZw/mma.4640
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
On a numerical algorithm for the solution of the radial Loewner equation
doi:10.1002/mma.4640
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
2017-10-27T07:00:00Z
10.1002/mma.4640
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4640?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4640?af=R
On the well‐posedness of a Volterra equation with applications in the Navier‐Stokes problem
This paper is dedicated to the study of a family of nonlinear Volterra equations coming from the theory of viscoelasticity. We analyze the existence of local mild solutions to the problem and their possible continuation to a maximal interval of existence. We also consider the problem of continuous dependence with respect to initial data.
Brunode Andrade
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/0yyDp7He4do/mma.4642
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
On the well‐posedness of a Volterra equation with applications in the Navier‐Stokes problem
doi:10.1002/mma.4642
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
2017-10-27T07:00:00Z
10.1002/mma.4642
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4642?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4642?af=R
A certain class of weighted statistical convergence and associated Korovkin‐type approximation theorems involving trigonometric functions
The subject of statistical convergence has attracted a remarkably large number of researchers due mainly to the fact that it is more general than the well‐established theory of the ordinary (classical) convergence. In the year 2013, Edely et al introduced and studied the notion of weighted statistical convergence. In our present investigation, we make use of the (presumably new) notion of the deferred weighted statistical convergence to present Korovkin‐type approximation theorems associated with the periodic functions
, and
defined on a Banach space
. In particular, we apply our concept of the deferred weighted statistical convergence with a view to proving a Korovkin‐type approximation theorem for periodic functions and also to demonstrate that our result is a nontrivial extension of several known Korovkin‐type approximation theorems which were given in earlier works. Moreover, we establish another result for the rate of the deferred weighted statistical convergence for the same set of functions. Finally, we consider a number of interesting special cases and illustrative examples in support of our definitions and of the results which are presented in this paper.
H. M.Srivastava
,
Bidu BhusanJena
,
Susanta KumarPaikray
,
U. K.Misra
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/RcOjucNW_Zw/mma.4636
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
A certain class of weighted statistical convergence and associated Korovkin‐type approximation theorems involving trigonometric functions
doi:10.1002/mma.4636
Mathematical Methods in the Applied Sciences
2017-10-19T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-19T07:00:00Z
2017-10-19T07:00:00Z
10.1002/mma.4636
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4636?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4636?af=R
Negligible microstructure in a class of porous nonlinear materials via variational bounds
This work is devoted to the estimation of the effective energy density of porous nonlinear materials by means of variational bounds. Because of the unavailability of an improved upper bound, attention is turned to the improved bound obtained by considering constant nonzero polarization fields in the formal lower bound, which follows from the generalization to nonlinear behavior of the Hashin–Shtrikman variational principles. A particular class of nonlinearity is considered which is relevant in different physical situations. Also, 11 different microstructures are considered. Several computational experiments performed show that the elementary upper bound and the improved lower bound are indistinguishable, suggesting that nonlinearity dominates over the microstructural effects. In other words, at least for the nonlinearity considered here, the influence of microstructure on the effective behavior is negligible. So, in this case, there is no need to search for an improved upper bound, as the elementary one provides a simple but accurate estimate of the effective energy density. Copyright © 2017 John Wiley & Sons, Ltd.
Leslie D.Pérez‐Fernández
,
Ángela M.León‐Mecías
,
JuliánBravo‐Castillero
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/aqB_NDcJnXA/mma.4319
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Negligible microstructure in a class of porous nonlinear materials via variational bounds
doi:10.1002/mma.4319
Mathematical Methods in the Applied Sciences
2017-02-01T08:00:00Z
Mathematical Methods in the Applied Sciences
2017-02-01T08:00:00Z
2017-02-01T08:00:00Z
10.1002/mma.4319
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4319?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4319?af=R
Lifespan for a semilinear pseudo‐parabolic equation
This paper deals with the blow‐up solution to the following semilinear pseudo‐parabolic equation
in a bounded domain
, which was studied by Luo (Math Method Appl Sci 38(12):2636‐2641, 2015) with the following assumptions on p:
and the lifespan for the initial energy J(u0)<0 is considered. This paper generalizes the above results on the following two aspects:
a new blow‐up condition is given, which holds for all p> 1;
a new lifespan is given, which holds for all p> 1 and possible J(u0)≥0.
Moreover, as a byproduct, we refine the lifespan when J(u0)<0.
GuangyuXu
,
JunZhou
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/TIaEL0T3jLM/mma.4639
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Lifespan for a semilinear pseudo‐parabolic equation
doi:10.1002/mma.4639
Mathematical Methods in the Applied Sciences
2017-10-19T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-19T07:00:00Z
2017-10-19T07:00:00Z
10.1002/mma.4639
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4639?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4639?af=R
Crank‐Nicolson‐Galerkin finite element scheme for nonlocal coupled parabolic problem using the Newton method
In this article, a finite element scheme based on the Newton method is proposed to approximate the solution of a nonlocal coupled system of parabolic problem. The Crank‐Nicolson method is used for time discretization. Well‐posedness of the problem is discussed at continuous and discrete levels. We derive a priori error estimates for both semidiscrete and fully discrete formulations. Results based on usual finite element method are provided to confirm the theoretical estimates.
SudhakarChaudhary
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/0gigYcln01E/mma.4641
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Crank‐Nicolson‐Galerkin finite element scheme for nonlocal coupled parabolic problem using the Newton method
doi:10.1002/mma.4641
Mathematical Methods in the Applied Sciences
2017-11-03T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-11-03T07:00:00Z
2017-11-03T07:00:00Z
10.1002/mma.4641
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4641?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4641?af=R
Triple conformal geometric algebra for cubic plane curves
The triple conformal geometric algebra (TCGA) for the Euclidean
‐plane extends CGA as the product of 3 orthogonal CGAs and thereby the representation of geometric entities to general cubic plane curves and certain cyclidic (or roulette) quartic, quintic, and sextic plane curves. The plane curve entities are 3‐vectors that linearize the representation of nonlinear curves, and the entities are inner product null spaces with respect to all points on the represented curves. Each inner product null space entity also has a dual geometric outer product null space form. Orthogonal or conformal (angle preserving) operations (as versors) are valid on all TCGA entities for inversions in circles, reflections in lines, and by compositions thereof, isotropic dilations from a given center point, translations, and rotations around arbitrary points in the plane. A further dimensional extension of TCGA also provides a method for anisotropic dilations. Intersections of any TCGA entity with a point, point pair, line, or circle are possible. The TCGA defines commutator‐based differential operators in the coordinate directions that can be combined to yield a general n‐directional derivative.
Robert BenjaminEaster
,
EckhardHitzer
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/59GfTfCsHvU/mma.4597
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Triple conformal geometric algebra for cubic plane curves
doi:10.1002/mma.4597
Mathematical Methods in the Applied Sciences
2017-09-18T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-09-18T07:00:00Z
2017-09-18T07:00:00Z
10.1002/mma.4597
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4597?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4597?af=R
Real‐time rendering under distant illumination with conformal geometric algebra
Precomputed radiance transfer (PRT) methods established for handling global illumination (GI) of objects from area lights in real time and many techniques proposed for rotating the light using linear algebra rotation matrices. Rotating area lights efficiently are crucial part for computer graphics since it is one of the main components of real‐time rendering. Matrices commonly used for handling such rotations are not quite efficient and require high memory consumption; as a result, the need for proposing new more efficient rotation algorithms has been established. In this work, we use the conformal geometric algebra (CGA) as the mathematical background for “GI in real‐time” under distant Image‐based lighting (IBL) illumination, for diffuse surfaces with self‐shadowing by efficiently rotating the environment light using CGA entities. Our work is based on spherical harmonics (SH), which are used for approximating natural, area‐light illumination as irradiance maps. Our main novelty is that we extend the PRT algorithm by representing SH for the first time with CGA.The main intuition is that SH of band index 1 are represented using CGA entities and SH with band index larger than 1 are represented in terms of CGA‐SH of band 1. Specifically, we propose a new method for representing SH with CGA entities and rotating SH by rotating CGA entities. In this way, we can visualize the SH rotations, rotate them faster than rotation matrices, and we provide a unique visual representation and intuition regarding their rotation, in stark contrast to usual rotation matrices, and we achieve consistently better visual results from Ivanic rotation matrices during light rotation. Via our CGA expressed SH, we provide a significant boost on the PRT algorithm since we represent SH rotations by CGA rotors (4 numbers) as opposed to 9 × 9 sparse matrices that are usually used. With our algorithm, we pave the way for including scaling (dilation) and translation of light coefficients using CGA motors.
MargaritaPapaefthymiou
,
GeorgePapagiannakis
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/YVIFA8nbErs/mma.4560
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Real‐time rendering under distant illumination with conformal geometric algebra
doi:10.1002/mma.4560
Mathematical Methods in the Applied Sciences
2017-09-11T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-09-11T07:00:00Z
2017-09-11T07:00:00Z
10.1002/mma.4560
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4560?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4560?af=R
Analyzing the inner product of 2 circles with Gaalop
This paper describes the geometric meaning of the inner product of 2 circles based on Compass Ruler Algebra, the Conformal Geometric Algebra in 2D. It analyzes in detail the cases of intersecting and tangent circles as well as when one circle is completely inside or completely outside the other circle. The paper reflects the systematic way of deriving the results based on the Geometric Algebra software tool Gaalop. The results are easily conferrable to arbitrary dimensions.
DietmarHildenbrand
,
WernerBenger
,
YuZhaoyuan
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/sY_TuFh5Ow0/mma.4471
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Analyzing the inner product of 2 circles with Gaalop
doi:10.1002/mma.4471
Mathematical Methods in the Applied Sciences
2017-07-12T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-07-12T07:00:00Z
2017-07-12T07:00:00Z
10.1002/mma.4471
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4471?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4471?af=R
Inversion of the attenuated conical Radon transform with a fixed opening angle
Since Compton cameras were introduced in the use of single photon emission computed tomography, various types of conical Radon transforms, which integrate the emission distribution over circular cones, have been studied. Most of previous works did not address the attenuation factor, which may lead to significant degradation of image quality. In this paper, we consider the problem of recovering an unknown function from conical projections affected by a known constant attenuation coefficient called an attenuated conical Radon transform. In the case of a fixed opening angle and vertical central axis, new explicit inversion formula is derived. Two‐dimensional numerical simulations were performed to demonstrate the efficiency of the suggested algorithm.
RimGouia‐Zarrad
,
SunghwanMoon
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/Yfotcu1MjKA/mma.4626
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Inversion of the attenuated conical Radon transform with a fixed opening angle
doi:10.1002/mma.4626
Mathematical Methods in the Applied Sciences
2017-10-16T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-16T07:00:00Z
2017-10-16T07:00:00Z
10.1002/mma.4626
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4626?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4626?af=R
A mathematical model for bovine tuberculosis among buffaloes and lions in the Kruger National Park
In this paper, a model for the spread of tuberculosis between buffaloes and lions is presented and analyzed. The most important system parameters are identified: vertical and horizontal disease transmission among the buffaloes and the influence of intraspecific competition between healthy and diseased buffaloes on the infected buffaloes population. Removal of diseased prey appears to be the most effective strategy to render the ecosystem disease free.
Luciana Mafalda Elias deAssis
,
EduardoMassad
,
Raul Abreu deAssis
,
Silvia R.Martorano
,
EzioVenturino
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/paNm-wewvAY/mma.4568
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
A mathematical model for bovine tuberculosis among buffaloes and lions in the Kruger National Park
doi:10.1002/mma.4568
Mathematical Methods in the Applied Sciences
2017-09-06T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-09-06T07:00:00Z
2017-09-06T07:00:00Z
10.1002/mma.4568
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4568?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4568?af=R
Concentration phenomena for a fractional Schrödinger‐Kirchhoff type equation
In this paper, we deal with the multiplicity and concentration of positive solutions for the following fractional Schrödinger‐Kirchhoff type equation
where ε>0 is a small parameter,
is the fractional Laplacian, M is a Kirchhoff function, V is a continuous positive potential, and f is a superlinear continuous function with subcritical growth. By using penalization techniques and Ljusternik‐Schnirelmann theory, we investigate the relation between the number of positive solutions with the topology of the set where the potential attains its minimum.
VincenzoAmbrosio
,
TeresaIsernia
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/XewiD_765QU/mma.4633
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Concentration phenomena for a fractional Schrödinger‐Kirchhoff type equation
doi:10.1002/mma.4633
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-10-27T07:00:00Z
2017-10-27T07:00:00Z
10.1002/mma.4633
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4633?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4633?af=R
Numerical simulation of Darcy–Forchheimer flow of third grade liquid with Cattaneo–Christov heat flux model
The main purpose of this research is to evaluate the impact of Darcy–Forchheimer flow in an incompressible third‐grade liquid through Cattaneo–Christov heat flux approach. The Cattaneo–Christov heat flux theory is adopted to govern the mathematical expression of energy, which involves the heat flux relaxation time chracteristics. Time‐dependent thermal conductivity is accounted. The steady problem is reduced to ordinary differential equations via suitable transformation. Numerical solutions for the resulting flow expressions have been computed with the help of Euler's explicit technique. Impact of influential variables on the velocity, temperature and skin‐friction coefficient have been demonstrated and discussed through graphs. Copyright © 2017 John Wiley & Sons, Ltd.
T.Hayat
,
M.Ijaz Khan
,
S. A.Shehzad
,
M.Imran Khan
,
A.Alsaedi
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/aioHZlHjZrM/mma.4403
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Numerical simulation of Darcy–Forchheimer flow of third grade liquid with Cattaneo–Christov heat flux model
doi:10.1002/mma.4403
Mathematical Methods in the Applied Sciences
2017-05-03T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-05-03T07:00:00Z
2017-05-03T07:00:00Z
10.1002/mma.4403
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4403?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4403?af=R
Resolution of singularities via deep complex‐valued neural networks
It has been reported that training deep neural networks is more difficult than training shallow neural networks. Hinton et al. proposed deep belief networks with a learning algorithm that trains one layer at a time. A much better generalization can be achieved when pre‐training each layer with an unsupervised learning algorithm. Since then, deep neural networks have been extensively studied. On the other hand, it has been revealed that singular points affect the training dynamics of the learning models such as neural networks and cause a standstill of training. Naturally, training deep neural networks suffer singular points. As described in this paper, we present a deep neural network model that has fewer singular points than the usual one. First, we demonstrate that some singular points in the deep real‐valued neural network, which is equivalent to a deep complex‐valued neural network, have been resolved as its inherent property. Such deep neural networks are less likely to become trapped in local minima or plateaus caused by critical points. Results of experiments on the two spirals problem, which has an extreme nonlinearity, support our theory. Copyright © 2017 John Wiley & Sons, Ltd.
TohruNitta
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/clQ9kexZYYQ/mma.4434
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Resolution of singularities via deep complex‐valued neural networks
doi:10.1002/mma.4434
Mathematical Methods in the Applied Sciences
2017-05-12T07:00:00Z
Mathematical Methods in the Applied Sciences
2017-05-12T07:00:00Z
2017-05-12T07:00:00Z
10.1002/mma.4434
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4434?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4434?af=R
Existence of solutions for systems of generalized quasi‐equilibrium problems
In this paper, first of all, we consider a generalized game in choice form with 2 constraints and its corresponding equilibrium in choice. We assert new conditions under which the equilibrium in choice exists. As a consequence, we establish the existence of the equilibrium for generalized abstract economies. Then, we apply the obtained theorems to prove the existence of solutions for systems of quasi‐equilibrium problems. We do this by considering new hypotheses for the properties of the involved correspondences. This approach leads us to results which differ a lot from the ones existing in literature.
MonicaPatriche
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/dYNamVEntA0/mma.4645
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Existence of solutions for systems of generalized quasi‐equilibrium problems
doi:10.1002/mma.4645
Mathematical Methods in the Applied Sciences
2017-11-28T08:00:00Z
Mathematical Methods in the Applied Sciences
2017-11-28T08:00:00Z
2017-11-28T08:00:00Z
10.1002/mma.4645
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4645?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4645?af=R
Adaptive strategies to improve the application of the generalized finite differences method in 2D and 3D
The generalized finite differences method allows the use of irregular clouds of nodes. The optimal values of the key parameters of the method vary depending on how the nodes in the cloud are distributed, and this can be complicated especially in 3D. Therefore, we establish 2 criteria to allow the automation of the selection process of the key parameters. These criteria depend on 2 discrete functions, one of them penalizes distances and the other one penalizes imbalances. In addition, we show how to generate irregular clouds of nodes more efficient than finer regular clouds of nodes. We propose an improved and more versatile h‐adaptive method that allows adding, moving, and removing nodes. To decide which nodes to act on, we use an indicator of the error a posteriori. This h‐adaptive method gives results more accurate than those ones presented for the generalized finite differences method so far and, in addition, with fewer nodes. In addition, this method can be used in time‐dependant problems to increase the temporal step or to avoid instabilities. As an example, we apply it in problems of seismic waves propagation.
MiguelUreña
,
Juan JoséBenito
,
FranciscoUreña
,
ÁngelGarcía
,
LuisGavete
,
LuisBenito
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/Y8y1WH5FOco/mma.4675
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Adaptive strategies to improve the application of the generalized finite differences method in 2D and 3D
doi:10.1002/mma.4675
Mathematical Methods in the Applied Sciences
2017-11-17T08:00:00Z
Mathematical Methods in the Applied Sciences
2017-11-17T08:00:00Z
2017-11-17T08:00:00Z
10.1002/mma.4675
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4675?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4675?af=R
Analysis and simulations of the discrete fragmentation equation with decay
Fragmentation‐coagulation processes, in which aggregates can break up or get together, often occur together with decay processes in which the components can be removed from the aggregates by a chemical reaction, evaporation, dissolution, or death. In this paper, we consider the discrete decay‐fragmentation equation and prove the existence and uniqueness of physically meaningful solutions to this equation using the theory of semigroups of operators. In particular, we find conditions under which the solution semigroup is analytic, compact, and has the asynchronous exponential growth property. The theoretical analysis is illustrated by a number of numerical simulations.
J.Banasiak
,
L. O.Joel
,
S.Shindin
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/mSZT_02TBWI/mma.4666
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Analysis and simulations of the discrete fragmentation equation with decay
doi:10.1002/mma.4666
Mathematical Methods in the Applied Sciences
2017-11-17T08:00:00Z
Mathematical Methods in the Applied Sciences
2017-11-17T08:00:00Z
2017-11-17T08:00:00Z
10.1002/mma.4666
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4666?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4666?af=R
Extragradient methods for split feasibility problems and generalized equilibrium problems in Banach spaces
The purpose of this paper is the presentation of a new extragradient algorithm in 2‐uniformly convex real Banach spaces. We prove that the sequences generated by this algorithm converge strongly to a point in the solution set of split feasibility problem, which is also a common element of the solution set of a generalized equilibrium problem and fixed points of of two relatively nonexpansive mappings. We give a numerical example to investigate the behavior of the sequences generated by our algorithm.
ZeynabJouymandi
,
FridounMoradlou
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/VfZ7mz_Cn3M/mma.4647
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Extragradient methods for split feasibility problems and generalized equilibrium problems in Banach spaces
doi:10.1002/mma.4647
Mathematical Methods in the Applied Sciences
2017-11-17T08:00:00Z
Mathematical Methods in the Applied Sciences
2017-11-17T08:00:00Z
2017-11-17T08:00:00Z
10.1002/mma.4647
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4647?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4647?af=R
A practical approach to R0 in continuous‐time ecological models
In this paper we study the asymptotic behaviour of the solutions in linear models of population dynamics by means of the basic reproduction number R0. Our aim is to give a practical approach to the computation of the basic reproduction number in continuous‐time population models structured by age and/or space. The procedure is different depending on whether the density of newborns per time unit and the density of population belong to the same functional space or not. Three infinite‐dimensional examples are illustrated: a transport model for a cell population, a model of spatial diffusion of individuals in a habitat, and a model of migration of individuals between age‐structured local populations. For each model, we have highlighted the possible advantages of computing R0 instead of the Malthusian parameter.
C.Barril
,
À.Calsina
,
J.Ripoll
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/ZE24sUALoTA/mma.4673
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
A practical approach to R0 in continuous‐time ecological models
doi:10.1002/mma.4673
Mathematical Methods in the Applied Sciences
2017-11-17T08:00:00Z
Mathematical Methods in the Applied Sciences
2017-11-17T08:00:00Z
2017-11-17T08:00:00Z
10.1002/mma.4673
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4673?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4673?af=R
Equilibrium configurations of mixture thin films undergoing large strains
We describe a mixture thin film as a membrane endowed with multiple out‐of‐tangent‐plane vectors at each point, with vector sequence defined to within a permutation to account for the mixing of the mixture components. Such a description is motivated by a proposal for an atomistic‐to‐continuum derivation of a representation of multiatomic layer thin films, a view not requiring the introduction of phenomenological parameters. Differences between that proposal and the model discussed here are the definition of the values of the layer‐descriptor map to within permutations and the explicit introduction of a bending‐like term in the energy. The out‐of‐tangent‐plane vectors satisfy a condition forbidding them to fall within the tangent plane after deformation. We consider a generic weakly surface‐polyconvex membrane energy and a quadratic bending term involving the out‐of‐tangent‐plane multiple vectors, a term which is also quasiconvex. Under appropriate energy growth assumptions and Dirichlet‐type boundary conditions, we prove existence of ground states, i.e., equilibrium configurations described by the solutions to balance equations. An obvious corollary is the existence of equilibrium configurations of single out‐of‐tangent‐plane vector Cosserat surfaces, a natural scheme for plates of simple materials.
Paolo MariaMariano
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/pY-levFUM9s/mma.4667
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Equilibrium configurations of mixture thin films undergoing large strains
doi:10.1002/mma.4667
Mathematical Methods in the Applied Sciences
2017-11-15T08:00:00Z
Mathematical Methods in the Applied Sciences
2017-11-15T08:00:00Z
2017-11-15T08:00:00Z
10.1002/mma.4667
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4667?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4667?af=R
Granular information retrieval using neighborhood systems
With the rapid growth of the amount of information stored on networks such as the internet, it is more difficult for information seekers to retrieve relevant information. This paper illustrates the design and improvement of a near neighborhood approach of information retrieval system to facilitate domain specific search. In exacting, a novel model depending on the notion of neighborhood system designed to rank documents according the searchers specific granularity requirements. The initial experiments confirm that our approach outperforms a classical vector‐based information retrieval system. Our research work opens the door to the design and development of the next generation of internet search engines to alleviate the problem of information overload using more topological concepts.
O. G.El Barbary
,
A. S.Salama
,
El SayedAtlam
,
H.Bakouch
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/yxXIiPwXQhA/mma.4610
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Granular information retrieval using neighborhood systems
doi:10.1002/mma.4610
Mathematical Methods in the Applied Sciences
2017-11-17T08:00:00Z
Mathematical Methods in the Applied Sciences
2017-11-17T08:00:00Z
2017-11-17T08:00:00Z
10.1002/mma.4610
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4610?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4610?af=R
A new retrieval method based on time series variation using field association terms
This paper studies the effects of the time change on the frequencies of specific terms connected to the document field in a given period. These specific terms are the field association (FA) terms. The paper also suggests a new method for automatic evaluation of the stabilization classes of FA terms to improve the precision of decision tree. The stabilization classes point out the popularity of list of FA terms depending on time change. Moreover, the suggested method manipulates the problem of the scattering of data numbers among classes to improve the performance of decision tree precision. The presented method is evaluated through conducting experiments by simulating the result of 1245 files, which are equivalent to 4.15 MB. The F‐measure for increment, fairly steady, and decrement classes achieves %90.4, %99.3, and %38.6, sequentially.
El‐SayedAtlam
,
FayedGhaleb
,
AzaaTaha
,
AyaIsmail
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/snASsqf5cu8/mma.4713
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
A new retrieval method based on time series variation using field association terms
doi:10.1002/mma.4713
Mathematical Methods in the Applied Sciences
2017-12-14T08:00:00Z
Mathematical Methods in the Applied Sciences
2017-12-14T08:00:00Z
2017-12-14T08:00:00Z
10.1002/mma.4713
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4713?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4713?af=R
Extensions of proper efficiency in complex space
In this paper, we extend proper efficiency concepts for a vector optimization problem in complex space. The relationships among the concepts due to Benson, Borwein, Kuhn‐Tucker, and Geoffrion have been discussed under some convexity and constraints qualification conditions. The necessary and sufficient conditions for a feasible point to be a properly efficient solution are established. The results are generalizations of the concepts of proper efficiency and their related theorems from real to complex space and complete the existing ones.
E. A.Youness
,
Mamdouh E.Elbrolosy
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/7egQv4u0pB4/mma.4715
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Extensions of proper efficiency in complex space
doi:10.1002/mma.4715
Mathematical Methods in the Applied Sciences
2017-12-19T08:00:00Z
Mathematical Methods in the Applied Sciences
2017-12-19T08:00:00Z
2017-12-19T08:00:00Z
10.1002/mma.4715
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4715?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4715?af=R
Modified Laguerre collocation method for solving 1‐dimensional parabolic convection‐diffusion problems
In this study, we propose a modified Laguerre collocation method based on operational matrix technique to solve 1‐dimensional parabolic convection‐diffusion problems arising in applied sciences. The method transforms the equation and mixed conditions of problem into a matrix equation with unknown Laguerre coefficients by means of collocation points and operational matrices. The solution of this matrix equation yields the Laguerre coefficients of the solution function. Thereby, the approximate solution is obtained in the truncated Laguerre series form. Also, to illustrate the usefulness and applicability of the method, we apply it to a test problem together with residual error estimation and compare the results with existing ones. Besides, the algorithm of the present method is given to represent the calculation of approximate solution.
BurcuGürbüz
,
MehmetSezer
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/74lCenoBNtg/mma.4721
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Modified Laguerre collocation method for solving 1‐dimensional parabolic convection‐diffusion problems
doi:10.1002/mma.4721
Mathematical Methods in the Applied Sciences
2017-12-21T08:00:00Z
Mathematical Methods in the Applied Sciences
2017-12-21T08:00:00Z
2017-12-21T08:00:00Z
10.1002/mma.4721
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4721?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4721?af=R
Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil
We propose a new mathematical model for the spread of Zika virus. Special attention is paid to the transmission of microcephaly. Numerical simulations show the accuracy of the model with respect to the Zika outbreak occurred in Brazil.
FaïçalNdaïrou
,
IvánArea
,
Juan J.Nieto
,
Cristiana J.Silva
,
Delfim F. M.Torres
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/ZAPSnhExVB4/mma.4702
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil
doi:10.1002/mma.4702
Mathematical Methods in the Applied Sciences
2017-12-21T08:00:00Z
Mathematical Methods in the Applied Sciences
2017-12-21T08:00:00Z
2017-12-21T08:00:00Z
10.1002/mma.4702
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4702?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4702?af=R
Viability of differential inclusions with fractional derivative without singular kernel
In the paper, we provide sufficient conditions assuring existence of viable solutions of differential inclusions with fractional derivative without singular kernel, namely, Caputo‐Fabrizio derivative of order α∈(0,1). A construction of an approximate solution is presented. A modified condition of tangency, according to specifity of the system with this new fractional derivative, is given.
EwaGirejko
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/pY93FYO8H5w/mma.4725
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Viability of differential inclusions with fractional derivative without singular kernel
doi:10.1002/mma.4725
Mathematical Methods in the Applied Sciences
2017-12-27T08:00:00Z
Mathematical Methods in the Applied Sciences
2017-12-27T08:00:00Z
2017-12-27T08:00:00Z
10.1002/mma.4725
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4725?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4725?af=R
IB2d Reloaded: A more powerful Python and MATLAB implementation of the immersed boundary method
The immersed boundary (IB) method is an elegant way to fully couple the motion of a fluid and deformations of an immersed elastic structure. In that vein, the IB2d software allows for expedited explorations of fluid‐structure interaction for beginners and veterans to the field of computational fluid dynamics. While most open‐source computational fluid dynamics codes are written in low‐level programming environments, IB2d was specifically written in high‐level programming environments to make its accessibility extend beyond scientists with vast programming experience. Although previously introduced by Battista et al. 2006 many improvements and additions have been made to the software to allow for even more robust models of material properties for the elastic structures, including a data analysis package for both the fluid and immersed structure data, an improved time‐stepping scheme for higher accuracy solutions, and functionality for modeling slight fluid density variations as given by the Boussinesq approximation.
Nicholas A.Battista
,
W. ChristopherStrickland
,
AaronBarrett
,
Laura A.Miller
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/pIqNpC2rCkI/mma.4708
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
IB2d Reloaded: A more powerful Python and MATLAB implementation of the immersed boundary method
doi:10.1002/mma.4708
Mathematical Methods in the Applied Sciences
2017-12-29T08:00:00Z
Mathematical Methods in the Applied Sciences
2017-12-29T08:00:00Z
2017-12-29T08:00:00Z
10.1002/mma.4708
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4708?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4708?af=R
On quasi‐contractive multivalued mappings' open problem in complete metric spaces
In recent years, many authors have introduced some fixed point theorems for multivalued quasi‐contraction whose contractivity constants α belonged to the interval
. However, as Amini‐Harandi pointed out, it is not clear whether such results also hold when
. Up to now, efforts in this direction either have failed or have been lessened to a lighter version. The main result of the current manuscript gives a partial positive answer to the above‐mentioned problem by adding a necessary and sufficient condition to guarantee existence of strict fixed points of quasi‐contractive multivalued mappings. This problem has remained open for many years. In addition to this, 2 examples are shown to support given results.
FarhsidKhojasteh
,
Antonio FranciscoRoldan Lopez de Hierro
,
SirousMoradi
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/EG8daUvqwII/mma.4729
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
On quasi‐contractive multivalued mappings' open problem in complete metric spaces
doi:10.1002/mma.4729
Mathematical Methods in the Applied Sciences
2018-01-04T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-01-04T08:00:00Z
2018-01-04T08:00:00Z
10.1002/mma.4729
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4729?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4729?af=R
On a generalized variable‐coefficient Gardner equation with linear damping and dissipative terms
Summary
In this paper, a generalized variable‐coefficient Gardner equation which involves a linear damping term and a dissipative term is studied. This equation broadens out a large number of equations previously considered. The equivalence group is used to simplify the analysis of the equation. The gauging of arbitrary elements of the family allows us to perform an exhaustive study of the Lie symmetries admitted by the family. Finally, by means of the multiplier method, we classify all low‐order conservation laws of the equations that have been obtained by applying the gauging.
R.de la Rosa
,
E.Recio
,
T. M.Garrido
,
M. S.Bruzón
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/5laYpMp1ir8/mma.4732
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
On a generalized variable‐coefficient Gardner equation with linear damping and dissipative terms
doi:10.1002/mma.4732
Mathematical Methods in the Applied Sciences
2018-01-09T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-01-09T08:00:00Z
2018-01-09T08:00:00Z
10.1002/mma.4732
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4732?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4732?af=R
Bending of elastic plates with transverse shear deformation: The Neumann problem
A generalized Fourier series method is constructed to approximate the solution of the Neumann problem in a finite domain for the system of equations governing the bending of elastic plates with transverse shear deformation. The method is illustrated by an example with computation performed by 3 different techniques that are contrasted and compared for efficiency, accuracy, and stability.
ChristianConstanda
,
DaleDoty
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/dCF0qmdNgUM/mma.4704
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Bending of elastic plates with transverse shear deformation: The Neumann problem
doi:10.1002/mma.4704
Mathematical Methods in the Applied Sciences
2018-01-09T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-01-09T08:00:00Z
2018-01-09T08:00:00Z
10.1002/mma.4704
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4704?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4704?af=R
New developments on AIDS‐related cancers: The role of the delay and treatment options
We propose a simple delay mathematical model for the dynamics of AIDS‐related cancers with treatment of HIV and chemotherapy. The main goals are to study the effects of the delay and of treatment (HAART and chemotherapy) in cancer cells growth. The model was simulated for several biologically reasonable values of the delay, of HAART efficacies and of chemotherapeutic drugs decay rates. The results of the simulations reveal an epidemiologically well‐defined model. Important inferences are drawn for designing future treatment protocols.
Ana R. M.Carvalho
,
Carla M. A.Pinto
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/8scEIcnBhP4/mma.4657
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
New developments on AIDS‐related cancers: The role of the delay and treatment options
doi:10.1002/mma.4657
Mathematical Methods in the Applied Sciences
2017-11-10T08:00:00Z
Mathematical Methods in the Applied Sciences
2017-11-10T08:00:00Z
2017-11-10T08:00:00Z
10.1002/mma.4657
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4657?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4657?af=R
A new type of closed spaces and continuous functions
This paper introduces and studies a new class of functions between topological spaces, namely, Γ‐continuous functions, which properly contains the class of s‐continuous functions. Finally, we study some of its properties.
A. A.Nasef
,
M. M.El‐Sharkasy
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/eWL3WuFJH5Q/mma.4739
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
A new type of closed spaces and continuous functions
doi:10.1002/mma.4739
Mathematical Methods in the Applied Sciences
2018-01-12T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-01-12T08:00:00Z
2018-01-12T08:00:00Z
10.1002/mma.4739
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4739?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4739?af=R
On Riemann‐Liouville fractional q–difference equations and their application to retarded logistic type model
In this note, we study a type of nonlinear Riemann‐Liouville fractional q–difference equations. By using the Krasnoselskii fixed‐point theorem, we investigate the existence of solutions of the addressed equation. Prior to the main results and unlike previous theorems, we provide the variation of parameters formula in case the solution starts at some a>0, which belongs to the quantum time scale
where the solution is only defined. The case when the solution starts at a=0 is also considered. To apply our result, we provide an existence theorem for the Riemann‐Liouville fractional q–logistic type model.
ThabetAbdeljawad
,
JehadAlzabut
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/_5vM5-RZwL8/mma.4743
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
On Riemann‐Liouville fractional q–difference equations and their application to retarded logistic type model
doi:10.1002/mma.4743
Mathematical Methods in the Applied Sciences
2018-01-17T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-01-17T08:00:00Z
2018-01-17T08:00:00Z
10.1002/mma.4743
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4743?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4743?af=R
Generating functions for unification of the multidimensional Bernstein polynomials and their applications
The aim of this paper is to construct generating functions for m‐dimensional unification of the Bernstein basis functions. We give some properties of these functions. We also give derivative formulas and a recurrence relation of the m‐dimensional unification of the Bernstein basis functions with help of their generating functions. By combining the m‐dimensional unification of the Bernstein basis functions with m variable functions on simplex and cube, we give m‐dimensional unification of the Bernstein operator. Furthermore, by applying integrals method including the Riemann integral, the q‐integral, and the p‐adic integral to some identities for the (q‐) Bernstein basis functions, we derive some combinatorial sums including the Bernoulli numbers and Euler numbers and also the Stirling numbers and the Cauchy numbers (the Bernoulli numbers of the second kind).
YilmazSimsek
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/3TYl4MSVu-0/mma.4746
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Generating functions for unification of the multidimensional Bernstein polynomials and their applications
doi:10.1002/mma.4746
Mathematical Methods in the Applied Sciences
2018-01-19T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-01-19T08:00:00Z
2018-01-19T08:00:00Z
10.1002/mma.4746
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4746?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4746?af=R
New types of topological structures via graphs
In this paper, we present a relation on graphs that induces new types of topological structures to the graph and then study some of the properties of this graph. Also, we investigate an algorithm to generate the topological structures from different graphs. Finally, some applications in medicine and geographs will be given, and we verify our results in the real life.
ShokryNada
,
Abd El FattahEl Atik
,
MohammedAtef
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/MdYAsYbOOFY/mma.4726
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
New types of topological structures via graphs
doi:10.1002/mma.4726
Mathematical Methods in the Applied Sciences
2018-01-24T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-01-24T08:00:00Z
2018-01-24T08:00:00Z
10.1002/mma.4726
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4726?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4726?af=R
Stability of two‐component incommensurate fractional‐order systems and applications to the investigation of a FitzHugh‐Nagumo neuronal model
For two‐dimensional autonomous linear incommensurate fractional‐order dynamical systems with Caputo derivatives of different orders, necessary and sufficient conditions are obtained for the asymptotic stability and instability of the null solution. These conditions are expressed in terms of the elements of the system's matrix, as well as of the fractional orders of the Caputo derivatives, leading to a generalization of the well known Routh‐Hurwitz conditions. These theoretical results are then used to investigate the stability properties of a two‐dimensional fractional‐order FitzHugh‐Nagumo neuronal model. The occurrence of Hopf bifurcations is also discussed. Numerical simulations are provided with the aim of exemplifying the theoretical results, revealing rich spiking behavior, in comparison with the classical integer‐order FitzHugh‐Nagumo model.
OanaBrandibur
,
EvaKaslik
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/DrfdLoi34po/mma.4768
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Stability of two‐component incommensurate fractional‐order systems and applications to the investigation of a FitzHugh‐Nagumo neuronal model
doi:10.1002/mma.4768
Mathematical Methods in the Applied Sciences
2018-01-25T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-01-25T08:00:00Z
2018-01-25T08:00:00Z
10.1002/mma.4768
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4768?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4768?af=R
The approximate solution of nonlinear mixed Volterra‐ Fredholm‐Hammerstein integral equations with RH wavelet bases in a complex plane
This work is based on using wavelet for calculating one‐dimensional nonlinear Volterra‐Hammerstein and mixed Volterra‐Fredholm‐Hammerstein integral equation of the second kind in a complex plane. So far, as we know, no study has yet been attempted for solving this integral equation in the complex plane. The main specificity of this method is to avoid solving any linear or algebra system for approximated of integral equations. In Section 2, we introduce the integral operator for RH wavelet and use it in our numerical methods. In Section 3, we show that our problems have a unique solution. Furthermore, we give an upper bound for the error analysis. Finally, we make some example in Section 4 and solve them.
MajidErfanian
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/RKHnOvfXHNY/mma.4714
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
The approximate solution of nonlinear mixed Volterra‐ Fredholm‐Hammerstein integral equations with RH wavelet bases in a complex plane
doi:10.1002/mma.4714
Mathematical Methods in the Applied Sciences
2018-01-25T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-01-25T08:00:00Z
2018-01-25T08:00:00Z
10.1002/mma.4714
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4714?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4714?af=R
Invariant solutions for nonlinear models of illiquid markets
A general nonlinear model of illiquid markets with feedback effects is considered. This equation with 2 free functional parameters contains as partial cases the classical Black‐Scholes equation, Schönbucher‐Wilmott equation, and Sircar‐Papanicolaou equation of option pricing. We obtain here the complete group classification of the equation, and for every parameters specification we obtain the principal Lie algebra and its optimal system of 1‐dimensional subalgerbras. For every such subalgebra we calculate the invariant submodel and invariant solution, when it is possible. Thus, the series of invariant submodels and invariant solutions are derived for the considered nonlinear model.
Vladimir E.Fedorov
,
Mikhail M.Dyshaev
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/5uiNetmDseI/mma.4772
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Invariant solutions for nonlinear models of illiquid markets
doi:10.1002/mma.4772
Mathematical Methods in the Applied Sciences
2018-01-29T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-01-29T08:00:00Z
2018-01-29T08:00:00Z
10.1002/mma.4772
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4772?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4772?af=R
Multiset topology via DNA and RNA mutation
Topology is the most important branch of modern mathematics, which plays an important role in applications. In this paper, we use the concept of the topology, based on the concept of multiset to solve an important problems in life (DNA and RNA mutation) to detect diseases and help biologists in the treatment of diseases. Also, we introduce a new theory that explains if there is an existence of a mutation or not, and we have a set of metric functions through which we examine the congruence and similarity and dissimilarity between “types,” which may be a strings of bits, vectors, DNA or RNA sequences, …, etc. Finally, we will introduce a theory that which can be used to know the existence and place of mutation.
M. M.El‐Sharkasy
,
Wafaa M.Fouda
,
Mohamed S.Badr
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/0xRUJfDaqMc/mma.4764
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Multiset topology via DNA and RNA mutation
doi:10.1002/mma.4764
Mathematical Methods in the Applied Sciences
2018-01-29T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-01-29T08:00:00Z
2018-01-29T08:00:00Z
10.1002/mma.4764
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4764?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4764?af=R
Existence and approximations of solutions for time‐fractional Navier‐stokes equations
The purpose of this work is to investigate the problem of solutions to the time‐fractional Navier‐Stokes equations with Caputo derivative operators. We obtain the existence and uniqueness of the solutions to each approximate equation, as well as the convergence of the approximate solutions. Furthermore, we present some convergence results for the Faedo‐Galerkin approximations of the given problems.
LiPeng
,
AmarDebbouche
,
YongZhou
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/4GhQ0VfLfuk/mma.4779
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Existence and approximations of solutions for time‐fractional Navier‐stokes equations
doi:10.1002/mma.4779
Mathematical Methods in the Applied Sciences
2018-01-30T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-01-30T08:00:00Z
2018-01-30T08:00:00Z
10.1002/mma.4779
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4779?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4779?af=R
A Lyapunov‐type inequality with the Katugampola fractional derivative
In this work we consider the higher order fractional differential equation with derivative defined in the sense of Katugampola. We present some equivalent integral form of the considered boundary value problem and using properties of an appropriate Green function and prove fractional counterpart of the Lyapunov inequality.
BarbaraŁupińska
,
TatianaOdzijewicz
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/VeztQb2_tWg/mma.4782
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
A Lyapunov‐type inequality with the Katugampola fractional derivative
doi:10.1002/mma.4782
Mathematical Methods in the Applied Sciences
2018-02-02T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-02T08:00:00Z
2018-02-02T08:00:00Z
10.1002/mma.4782
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4782?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4782?af=R
On the Cauchy problem for the nonlinear Schrodinger equations including fractional dissipation with variable coefficient
This paper is devoted to the Cauchy problem for the nonlinear Schrodinger equation with time‐dependent fractional damping term. We prove the local existence result, and we study the global existence and blow‐up solutions.
MohamadDarwich
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/jZ0FWnHZmZk/mma.4792
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
On the Cauchy problem for the nonlinear Schrodinger equations including fractional dissipation with variable coefficient
doi:10.1002/mma.4792
Mathematical Methods in the Applied Sciences
2018-02-02T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-02T08:00:00Z
2018-02-02T08:00:00Z
10.1002/mma.4792
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4792?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4792?af=R
Spectral parameter power series for arbitrary order linear differential equations
Let L be the n‐th order linear differential operator Ly=ϕ0y(n)+ϕ1y(n−1)+⋯+ϕny with variable coefficients. A representation is given for n linearly independent solutions of Ly=λry as power series in λ, generalizing the SPPS (spectral parameter power series) solution that has been previously developed for n=2. The coefficient functions in these series are obtained by recursively iterating a simple integration process, beginning with a solution system for λ=0. It is shown how to obtain such an initializing system working upwards from equations of lower order. The values of the successive derivatives of the power series solutions at the basepoint of integration are given, which provides a technique for numerical solution of n‐th order initial value problems and spectral problems.
Vladislav V.Kravchenko
,
R. MichaelPorter
,
Sergii M.Torba
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/CvVjO48fJtQ/mma.4769
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Spectral parameter power series for arbitrary order linear differential equations
doi:10.1002/mma.4769
Mathematical Methods in the Applied Sciences
2018-02-02T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-02T08:00:00Z
2018-02-02T08:00:00Z
10.1002/mma.4769
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4769?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4769?af=R
A numerical study on the estimation of the stable size distribution for a cell population balance model
The presence of a steady‐state distribution is an important issue in the modelization of cell populations. In this paper, we analyse, from a numerical point of view, the approach to the stable size distribution for a size‐structured balance model with an asymmetric division rate. To this end, we introduce a second‐order numerical method on the basis of the integration along the characteristic curves over the natural grid. We validate the interest of the scheme by means of a detailed analysis of convergence.
Luis M.Abia
,
ÓscarAngulo
,
Juan CarlosLópez‐Marcos
,
Miguel ÁngelLópez‐Marcos
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/lnj3C5BD-Zg/mma.4787
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
A numerical study on the estimation of the stable size distribution for a cell population balance model
doi:10.1002/mma.4787
Mathematical Methods in the Applied Sciences
2018-02-06T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-06T08:00:00Z
2018-02-06T08:00:00Z
10.1002/mma.4787
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4787?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4787?af=R
Graded contractions of filiform Lie algebras
The study of contractions of Lie algebras is profusely extended in the last decades. In this paper we study the graded contractions of some lower‐dimensional filiform Lie algebras which have not been studied earlier. Particularly, we deal with graded contractions of model filiform Lie algebras of dimension less than or equal to 6 and with the ones of a nonmodel 6‐dimensional filiform Lie algebra.
José M.Escobar
,
JuanNúñez Valdés
,
PedroPérez‐Fernández
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/qN7KRnT8Pb8/mma.4785
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Graded contractions of filiform Lie algebras
doi:10.1002/mma.4785
Mathematical Methods in the Applied Sciences
2018-02-06T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-06T08:00:00Z
2018-02-06T08:00:00Z
10.1002/mma.4785
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4785?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4785?af=R
On in‐out splitting of incident fields and the far‐field behaviour of Herglotz wavefunctions
It is easy to write down entire solutions of the Helmholtz equation: Examples are plane waves and Herglotz wavefunctions. We are interested in the far‐field behaviour of these solutions motivated by the following question: When is it legitimate to split the far field of such an entire solution into the sum of an incoming spherical wave and an outgoing spherical wave? We review the relevant literature (there are disjoint physical and mathematical threads), and then we answer the question for Herglotz wavefunctions, using a combination of the 2‐dimensional method of stationary phase and some explicit examples.
P. A.Martin
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/vTIgCMe1a3s/mma.4794
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
On in‐out splitting of incident fields and the far‐field behaviour of Herglotz wavefunctions
doi:10.1002/mma.4794
Mathematical Methods in the Applied Sciences
2018-02-12T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-12T08:00:00Z
2018-02-12T08:00:00Z
10.1002/mma.4794
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4794?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4794?af=R
A class of time‐fractional reaction‐diffusion equation with nonlocal boundary condition
The purpose of the study is to analyze the time‐fractional reaction‐diffusion equation with nonlocal boundary condition. The proposed model is used to predict the invasion of tumor and its growth. Further, we establish the existence and uniqueness of a weak solution of the proposed model using the Faedo‐Galerkin method and compactness arguments.
YongZhou
,
L.Shangerganesh
,
J.Manimaran
,
AmarDebbouche
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/GCqpxgM1aXo/mma.4796
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
A class of time‐fractional reaction‐diffusion equation with nonlocal boundary condition
doi:10.1002/mma.4796
Mathematical Methods in the Applied Sciences
2018-02-12T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-12T08:00:00Z
2018-02-12T08:00:00Z
10.1002/mma.4796
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4796?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4796?af=R
Existence and multiplicity of positive solutions for a class of singular Kirchhoff type problems with sign‐changing potential
In this paper, the existence and multiplicity of positive solutions are obtained for a class of Kirchhoff type problems with two singular terms and sign‐changing potential by the Nehari method.
Hong‐YingLi
,
Yu‐TingTang
,
Jia‐FengLiao
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/34fyWjlTa-k/mma.4795
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Existence and multiplicity of positive solutions for a class of singular Kirchhoff type problems with sign‐changing potential
doi:10.1002/mma.4795
Mathematical Methods in the Applied Sciences
2018-02-12T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-12T08:00:00Z
2018-02-12T08:00:00Z
10.1002/mma.4795
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4795?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4795?af=R
(p,q)‐Sturm‐Liouville problems and their orthogonal solutions
In this paper, we introduce (p,q)‐Sturm‐Liouville problems and prove that their solutions are orthogonal with respect to a (p,q)‐integral space. We then present some illustrative examples for this kind of problems and obtain the (p,q)‐hypergeometric representation of the polynomial solutions together with their 3‐term recurrence relations. We also compute the norm square value of the polynomial solutions and obtain their limiting cases in the sequel.
F.Soleyman
,
P. NjionouSadjang
,
M.Masjed‐Jamei
,
I.Area
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/Te67YnHzDKk/mma.4800
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
(p,q)‐Sturm‐Liouville problems and their orthogonal solutions
doi:10.1002/mma.4800
Mathematical Methods in the Applied Sciences
2018-02-12T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-12T08:00:00Z
2018-02-12T08:00:00Z
10.1002/mma.4800
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4800?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4800?af=R
On unicity of meromorphic solutions to difference Painlevé equation
In this paper, we consider the uniqueness problems of finite‐order meromorphic solutions to Painlevé equation. Our result says that such solutions w are uniquely determined by their poles and the zeros of w−ej (counting multiplicities) for 2 finite complex numbers e1≠e2. As applications, we derive 2 uniqueness theorems about the Weierstrass ℘ function and Jacobi elliptic function sn, respectively.
FengLü
,
YanfengWang
,
WeiranLü
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/g5IpsqS-p2A/mma.4802
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
On unicity of meromorphic solutions to difference Painlevé equation
doi:10.1002/mma.4802
Mathematical Methods in the Applied Sciences
2018-02-12T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-12T08:00:00Z
2018-02-12T08:00:00Z
10.1002/mma.4802
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4802?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4802?af=R
Stabilization of a viscoelastic rotating Euler‐Bernoulli beam
In this paper, we consider a rotating Euler‐Bernoulli beam. The beam is made of a viscoelastic material, and it is subject to undesirable vibrations. Under a suitable control torque applied at the motor, we prove the arbitrary stabilization of the system for a large class of relaxation functions by using the multiplier method and some ideas introduced by Tatar (J. Math. Phys. 52:013502, 2011).
AmiroucheBerkani
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/RydTC98dFx0/mma.4793
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Stabilization of a viscoelastic rotating Euler‐Bernoulli beam
doi:10.1002/mma.4793
Mathematical Methods in the Applied Sciences
2018-02-12T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-12T08:00:00Z
2018-02-12T08:00:00Z
10.1002/mma.4793
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4793?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4793?af=R
A path planning approach of 3D manipulators using zenithal gnomic projection and polar piecewise interpolation
In this paper, the mathematical modeling and trajectory planning of a 3D rotating manipulator composed of a rotating‐prismatic joint and multiple rigid links is considered. Possible trajectories of the end effector of the manipulator—following a sequence of 3D target points under the action of 2 external driving torques and an axial force—are modeled using zenithal gnomic projections and polar piecewise interpolants expressed as polynomial Hermite‐type functions. Because of the geometry of the manipulator, the time‐dependent generalized coordinates are associated with the spherical coordinates named the radial distance related to the manipulator length, and the polar and azimuthal angles describing the left and right and, respectively, up and down motion of the manipulator. The polar trajectories (left and right motion) of the end effector are generated using a inverse geometric transformation applied to the polar piecewise interpolants that approximate the gnomic projective trajectory of the 3D via‐points. The gnomic via‐points—located on a projective plane situated on the northern hemisphere—are seen from the manipulator base location, which represents the center of rotation of the extensible manipulator. The related azimuthal trajectory (up and down motion) is generated by polar piecewise interpolants on the azimuthal angles. Smoothness of the polygonal trajectory is obtained through the use of piecewise interpolants with continuous derivatives, while the kinematics and dynamics implementation of the model is well suited to computer implementation (easy calculation of kinematics variables) and simulation. To verify the approach and validate the model, a numerical example—implemented in Matlab—is presented, and the results are discussed.
MihaiDupac
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/OqRiHTS7kg4/mma.4790
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
A path planning approach of 3D manipulators using zenithal gnomic projection and polar piecewise interpolation
doi:10.1002/mma.4790
Mathematical Methods in the Applied Sciences
2018-02-08T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-08T08:00:00Z
2018-02-08T08:00:00Z
10.1002/mma.4790
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4790?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4790?af=R
Global well‐posedness for the 2D Boussinesq system with variable viscosity and damping
In this paper, we consider the 2D Boussinesq system with variable kinematic viscosity in the velocity equation and with weak damping effect to instead of the regularity effect for the thermal conductivity. Even if without thermal diffusion in the temperature equation, we establish the global well‐posedness for the 2D Boussinesq system with general initial data.
YanghaiYu
,
XingWu
,
YanbinTang
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/m2GsY85dxaQ/mma.4799
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Global well‐posedness for the 2D Boussinesq system with variable viscosity and damping
doi:10.1002/mma.4799
Mathematical Methods in the Applied Sciences
2018-02-14T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-14T08:00:00Z
2018-02-14T08:00:00Z
10.1002/mma.4799
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4799?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4799?af=R
Existence and concentration of bound states for a Kirchhoff type problem with potentials vanishing or unbounded at infinity
In this paper, we study the existence and concentration behavior of positive solutions for the following Kirchhoff type equation:
where ɛ is a positive parameter, a and b are positive constants, and 3<p<5. Let
denotes the ground energy function associated with
,
, where
is regard as a parameter. Suppose that the potential V(x) decays to zero at infinity like |x|−α with 0<α≤2, we prove the existence of positive solutions uɛ belonging to
for vanishing or unbounded K(x) when ɛ > 0 small. Furthermore, we show that the solution uɛ concentrates at the minimum points of
as ɛ→0+.
XudongShang
,
JihuiZhang
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/mBfSYIYzBH8/mma.4798
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Existence and concentration of bound states for a Kirchhoff type problem with potentials vanishing or unbounded at infinity
doi:10.1002/mma.4798
Mathematical Methods in the Applied Sciences
2018-02-14T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-14T08:00:00Z
2018-02-14T08:00:00Z
10.1002/mma.4798
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4798?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4798?af=R
Modelling the potential impact of limited hospital beds on Ebola virus disease dynamics
During the 2013‐2015 Ebola virus disease outbreak, admission into a health facility depended on the availability of hospital beds and health personnel. The limited number of such important logistics contributed to the escalation of the epidemic. We use a compartmental model to study the dynamics of Ebola virus disease when there is a limited number of beds for patients. We use a non‐linear hospitalisation rate and formulate the rate at which the time‐dependent number of available beds evolves. The model shows a backward bifurcation. Simulation results show that bed supply in Ebola treatment units contribute to the reduction of the number of individuals infected by Ebola virus. The model fitting results suggest that a timely supply of sufficient beds to Ebola treatment units limits the spread of the disease. Despite the fact that bed supplies to Ebola treatment units are not in themselves a control measure, they contribute to the reduction of the disease spread, by keeping the infectious in one place, during their infectious period.These results have important implications to the management and control of the disease.
Sylvie DianeDjiomba Njankou
,
FaraiNyabadza
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/yw2rwsMuW6c/mma.4789
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Modelling the potential impact of limited hospital beds on Ebola virus disease dynamics
doi:10.1002/mma.4789
Mathematical Methods in the Applied Sciences
2018-02-14T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-14T08:00:00Z
2018-02-14T08:00:00Z
10.1002/mma.4789
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4789?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4789?af=R
On the blow‐up phenomena for a 1‐dimensional equation of ion sound waves in a plasma: Analytical and numerical investigation
The initial‐boundary value problem for an equation of ion sound waves in plasma is considered. A theorem on nonextendable solution is proved. The blow‐up phenomena are studied. The sufficient blow‐up conditions and the blow‐up time are analysed by the method of the test functions. This analytical a priori information is used in the numerical experiments, which are able to determine the process of the solution's blow‐up more accurately.
M.O.Korpusov
,
D.V.Lukyanenko
,
A.A.Panin
,
G.I.Shlyapugin
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/kGh7u2WPD5E/mma.4791
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
On the blow‐up phenomena for a 1‐dimensional equation of ion sound waves in a plasma: Analytical and numerical investigation
doi:10.1002/mma.4791
Mathematical Methods in the Applied Sciences
2018-02-14T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-14T08:00:00Z
2018-02-14T08:00:00Z
10.1002/mma.4791
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4791?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4791?af=R
Dynamics analysis of an HTLV‐1 infection model with mitotic division of actively infected cells and delayed CTL immune response
In this paper, we propose an improved human T‐cell leukemia virus type 1 infection model with mitotic division of actively infected cells and delayed cytotoxic T lymphocyte immune response. By constructing suitable Lyapunov functional and using LaSalle invariance principle, we investigate the global stability of the infection‐free equilibrium of the system. Our results show that the time delay can change stability behavior of the infection equilibrium and lead to the existence of Hopf bifurcations. Finally, numerical simulations are conducted to illustrate the applications of the main results.
FuxiangLi
,
WanbiaoMa
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/CuM8vxvnu38/mma.4797
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Dynamics analysis of an HTLV‐1 infection model with mitotic division of actively infected cells and delayed CTL immune response
doi:10.1002/mma.4797
Mathematical Methods in the Applied Sciences
2018-02-14T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-14T08:00:00Z
2018-02-14T08:00:00Z
10.1002/mma.4797
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4797?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4797?af=R
On the photoelastic constants and the Brewster law for stressed tetragonal crystals
An exact knowledge of the mechanical and optical properties of crystals allows not only for theoretical advances, but it is also a useful tool to asses crystal quality in the technological processes of growth and production of advanced crystals like, eg, scintillators. In this paper, we study the elasto‐optic behavior of tetragonal crystals to evaluate the photoelastic constants, associated to various states of stress, in terms of the components of the piezo‐optic tensor. Moreover, we arrive at a generalization, for tetragonal crystals, of the Brewster law for optically isotropic materials.
DanieleRinaldi
,
FabrizioDaví
,
LuigiMontalto
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/fGN663lWcJM/mma.4804
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
On the photoelastic constants and the Brewster law for stressed tetragonal crystals
doi:10.1002/mma.4804
Mathematical Methods in the Applied Sciences
2018-02-15T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-15T08:00:00Z
2018-02-15T08:00:00Z
10.1002/mma.4804
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4804?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4804?af=R
Generalized fractional‐order Jacobi functions for solving a nonlinear systems of fractional partial differential equations numerically
In this paper, a collocation spectral numerical algorithm is presented for solving nonlinear systems of fractional partial differential equations subject to different types of conditions. A proposed error analysis investigates the convergence of the mentioned algorithm. Some numerical examples confirm the efficiency and accuracy of the method.
FarzanehKamali
,
HabibollahSaeedi
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/6eJRdB28BkA/mma.4808
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Generalized fractional‐order Jacobi functions for solving a nonlinear systems of fractional partial differential equations numerically
doi:10.1002/mma.4808
Mathematical Methods in the Applied Sciences
2018-02-15T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-15T08:00:00Z
2018-02-15T08:00:00Z
10.1002/mma.4808
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4808?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4808?af=R
Existence of solutions for a nonlinear simply supported beam equation
This paper is devotedto prove the existence of one or multiple solutions for a family of nonlinear fourth‐order boundary value problems.
We use several fixed point theorems, previously developed by the author and her coauthor, to prove the existence of solutions of some simply supported beam problems. To finish the work, a particular case is studied, and the existence of multiple solutions is proved for 2 different particular nonlinear functions.
LorenaSaavedra
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/JR8rk3B51o8/mma.4806
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Existence of solutions for a nonlinear simply supported beam equation
doi:10.1002/mma.4806
Mathematical Methods in the Applied Sciences
2018-02-15T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-15T08:00:00Z
2018-02-15T08:00:00Z
10.1002/mma.4806
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4806?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4806?af=R
Global stability of a periodic Holling‐Tanner predator‐prey model
This paper is concerned with the global dynamics of a Holling‐Tanner predator‐prey model with periodic coefficients. We establish sufficient conditions for the existence of a positive solution and its global asymptotic stability. The stability conditions are first given in average form and afterward as pointwise estimates. In the autonomous case, the previous criteria lead to a known result.
BenedettaLisena
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/wP8HmM4O0Nk/mma.4814
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Global stability of a periodic Holling‐Tanner predator‐prey model
doi:10.1002/mma.4814
Mathematical Methods in the Applied Sciences
2018-02-19T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-19T08:00:00Z
2018-02-19T08:00:00Z
10.1002/mma.4814
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4814?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4814?af=R
Semi‐invariant solutions of the Navier‐Stokes equations
We present new exact solutions and reduced differential systems of the Navier‐Stokes equations of incompressible viscous fluid flow. We apply the method of semi‐invariant manifolds, introduced earlier as a modification of the Lie invariance method. We show that many known solutions of the Navier‐Stokes equations are, in fact, semi‐invariant and that the reduced differential systems we derive using semi‐invariant manifolds generalize previously obtained results that used ad hoc methods. Many of our semi‐invariant solutions solve decoupled systems in triangular form that are effectively linear. We also obtain several new reductions of Navier‐Stokes to a single nonlinear partial differential equation. In some cases, we can solve reduced systems and generate new analytic solutions of the Navier‐Stokes equations or find their approximations, and physical interpretation.
V.Rosenhaus
,
RaviShankar
,
CodySquellati
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/sYP5A5fMeS0/mma.4786
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Semi‐invariant solutions of the Navier‐Stokes equations
doi:10.1002/mma.4786
Mathematical Methods in the Applied Sciences
2018-02-21T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-21T08:00:00Z
2018-02-21T08:00:00Z
10.1002/mma.4786
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4786?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4786?af=R
Asymptotic growth bounds for the 3‐D Vlasov‐Poisson system with point charges
In this article, we consider the asymptotic behavior of the classical solution to the 3‐dimensional Vlasov‐Poisson plasma interacting repulsively with N point charges. The large time behavior in terms of diameters of its velocity‐spatial supports is improved to O(t2/3+ϵ) for any ϵ>0.
DonghaoLi
,
XianwenZhang
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/KQ_9lA9Ya-A/mma.4816
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Asymptotic growth bounds for the 3‐D Vlasov‐Poisson system with point charges
doi:10.1002/mma.4816
Mathematical Methods in the Applied Sciences
2018-02-21T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-21T08:00:00Z
2018-02-21T08:00:00Z
10.1002/mma.4816
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4816?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4816?af=R
Global strong solution to the three dimensional nonhomogeneous incompressible magnetohydrodynamic equations with density‐dependent viscosity and resistivity
In this paper, we consider an initial boundary value problem for the 3‐dimensional nonhomogeneous incompressible magnetohydrodynamic equations with density‐dependent viscosity and resistivity coefficients over a bounded smooth domain. Global in time unique strong solution is proved to exist when the L2 norms of initial vorticity and current density are both suitably small with arbitrary large initial density, and the vacuum of initial density is also allowed.
Finally, we revisit the Navier‐Stokes model without electromagnetic effect. We find that this initial boundary problem also admits a unique global strong solution under other conditions. In particular, we prove small kinetic‐energy strong solution exists globally in time, which extends the recent result of Huang and Wang.
HuanyuanLi
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/XaSOWNAuhXU/mma.4801
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Global strong solution to the three dimensional nonhomogeneous incompressible magnetohydrodynamic equations with density‐dependent viscosity and resistivity
doi:10.1002/mma.4801
Mathematical Methods in the Applied Sciences
2018-02-21T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-21T08:00:00Z
2018-02-21T08:00:00Z
10.1002/mma.4801
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4801?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4801?af=R
Symmetry of heat and mass transfer equations in case of dependence of thermal diffusivity coefficient either on temperature or concentration
This paper describes the solution of group classification problem for heat and mass transfer equations with respect to 3 transport coefficients. Two coefficients depend on temperature and concentration, and the thermal diffusivity coefficient is the function of only one of these state parameters. The forms of the arbitrary elements providing the additional transformations are found. Examples of exact solutions of the governing equations are constructed.
Irina V.Stepanova
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/9EBK0Vczi3E/mma.4811
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Symmetry of heat and mass transfer equations in case of dependence of thermal diffusivity coefficient either on temperature or concentration
doi:10.1002/mma.4811
Mathematical Methods in the Applied Sciences
2018-02-21T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-21T08:00:00Z
2018-02-21T08:00:00Z
10.1002/mma.4811
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4811?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4811?af=R
Symmetry analysis for a Fisher equation with exponential diffusion
In this paper, we consider a generalized Fisher equation with exponential diffusion from the point of view of the theory of symmetry reductions in partial differential equations. The generalized Fisher‐type equation arises in the theory of population dynamics. These types of equations have appeared in many fields of study such as in the reaction‐diffusion equations, in heat transfer problems, in biology, and in chemical kinetics. By using the symmetry classification, simplified by equivalence transformations, for a special family of Fisher equations, all the reductions are derived from the optimal system of subalgebras and symmetry reductions are used to obtain exact solutions.
M. L.Gandarias
,
M.Rosa
,
R.Tracinà
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/oZqPegrTn4Y/mma.4803
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Symmetry analysis for a Fisher equation with exponential diffusion
doi:10.1002/mma.4803
Mathematical Methods in the Applied Sciences
2018-02-21T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-21T08:00:00Z
2018-02-21T08:00:00Z
10.1002/mma.4803
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4803?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4803?af=R
Existence and multiplicity of nontrivial solutions for nonlinear fractional differential systems with p‐Laplacian via critical point theory
In this paper, the existence and multiplicity of nontrivial solutions are obtained for nonlinear fractional differential systems with p‐Laplacian by combining the properties of fractional calculus with critical point theory. Firstly, we present a result that a class of p‐Laplacian fractional differential systems exists infinitely many solutions under the famous Ambrosetti‐Rabinowitz condition. Then, a criterion is given to guarantee that the fractional systems exist at least 1 nontrivial solution without satisfying Ambrosetti‐Rabinowitz condition. Our results generalize some existing results in the literature.
DongpingLi
,
FangqiChen
,
YukunAn
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/1gIf-5V7zrc/mma.4810
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Existence and multiplicity of nontrivial solutions for nonlinear fractional differential systems with p‐Laplacian via critical point theory
doi:10.1002/mma.4810
Mathematical Methods in the Applied Sciences
2018-02-21T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-21T08:00:00Z
2018-02-21T08:00:00Z
10.1002/mma.4810
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4810?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4810?af=R
Oscillation and non‐oscillation results for solutions of perturbed half‐linear equations
The purpose of this paper is to describe the oscillatory properties of second‐order Euler‐type half‐linear differential equations with perturbations in both terms. All but one perturbations in each term are considered to be given by finite sums of periodic continuous functions, while coefficients in the last perturbations are considered to be general continuous functions. Since the periodic behavior of the coefficients enables us to solve the oscillation and non‐oscillation of the considered equations, including the so‐called critical case, we determine the oscillatory properties of the equations with the last general perturbations. As the main result, we prove that the studied equations are conditionally oscillatory in the considered very general setting. The novelty of our results is illustrated by many examples, and we give concrete new corollaries as well. Note that the obtained results are new even in the case of linear equations.
PetrHasil
,
MichalVeselý
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/_fhfaJlPY2A/mma.4813
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Oscillation and non‐oscillation results for solutions of perturbed half‐linear equations
doi:10.1002/mma.4813
Mathematical Methods in the Applied Sciences
2018-03-02T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-03-02T08:00:00Z
2018-03-02T08:00:00Z
10.1002/mma.4813
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4813?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4813?af=R
Classical symmetries and conservation laws for the dissipative Dullin‐Gottwald‐Holm equation with arbitrary coefficients
In this work we study the classical Lie symmetries and the consevations laws of a generalized Dullin‐Gottwald‐Holm equation with arbitrary coefficients.
J. C.Camacho
,
M.Rosa
,
M. L.Gandarias
,
M. S.Bruzón
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/s0YcMAVSPRM/mma.4826
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Classical symmetries and conservation laws for the dissipative Dullin‐Gottwald‐Holm equation with arbitrary coefficients
doi:10.1002/mma.4826
Mathematical Methods in the Applied Sciences
2018-03-07T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-03-07T08:00:00Z
2018-03-07T08:00:00Z
10.1002/mma.4826
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4826?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4826?af=R
Boundary‐value problems for the third‐order loaded equation with noncharacteristic type‐change boundaries
The purpose of this paper is to establish unique solvability for a certain generalized boundary‐value problem for a loaded third‐order integro‐differential equation with variable coefficients. Moreover, the method of integral equations is applied to obtain an equation related to the Riemann‐Liouville operators.
UmidaBaltaeva
,
PraveenAgarwal
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/0bmR_2YoEbM/mma.4817
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Boundary‐value problems for the third‐order loaded equation with noncharacteristic type‐change boundaries
doi:10.1002/mma.4817
Mathematical Methods in the Applied Sciences
2018-03-07T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-03-07T08:00:00Z
2018-03-07T08:00:00Z
10.1002/mma.4817
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4817?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4817?af=R
Exponential H∞ synchronization for discrete‐time chaotic neural networks with time delays and stochastic perturbations via output feedback control
This paper investigates the problem of exponential H∞ synchronization of discrete‐time chaotic neural networks with time delays and stochastic perturbations. First, by using the Lyapunov‐Krasovskii (Lyapunov) functional and output feedback controller, we establish the H∞ performance of exponential synchronization in the mean square of master‐slave systems, which is analyzed using a matrix inequality approach. Second, the parameters of a desired output feedback controller can be achieved by solving a linear matrix inequality. Finally, 2 simulated examples are presented to show the effectiveness of the theoretical results.
Q.Hai
,
S. T.Liu
,
C. M.Jiang
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/ICuy7x5gupc/mma.4815
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Exponential H∞ synchronization for discrete‐time chaotic neural networks with time delays and stochastic perturbations via output feedback control
doi:10.1002/mma.4815
Mathematical Methods in the Applied Sciences
2018-03-07T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-03-07T08:00:00Z
2018-03-07T08:00:00Z
10.1002/mma.4815
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4815?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4815?af=R
A gray model for increasing sequences with nonhomogeneous index trends based on fractional‐order accumulation
By comparing the class ratio deviation and restoring error of first‐order accumulation with that of fractional‐order accumulation, a gray model for monotonically increasing sequences can obtain optimal simulation accuracy via selecting a proper cumulative order. In this study, a gray model for increasing sequences with nonhomogeneous index trends based on fractional‐order accumulation is proposed. To reduce the modeling error caused by the background value and to improve the prediction accuracy of the model, an optimized model using the 3/8 Simpson formula is constructed. Finally, the 2 proposed models are used to predict the total energy consumption in China and the monthly sales of new products in an enterprise. Compared with the GM(1,1) model based on fractional‐order accumulation, the proposed model exhibits better simulation and prediction accuracy.
LiangZeng
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/c5-W2xprhfs/mma.4862
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
A gray model for increasing sequences with nonhomogeneous index trends based on fractional‐order accumulation
doi:10.1002/mma.4862
Mathematical Methods in the Applied Sciences
2018-03-12T07:00:00Z
Mathematical Methods in the Applied Sciences
2018-03-12T07:00:00Z
2018-03-12T07:00:00Z
10.1002/mma.4862
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4862?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4862?af=R
A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed‐order fractional damped diffusion‐wave equation
The main purpose of the current paper is to propose a new numerical scheme based on the spectral element procedure for simulating the neutral delay distributed‐order fractional damped diffusion‐wave equation. To this end, the temporal direction has been discretized by a finite difference formula with convergence order
where 1<α<2. In the next, to obtain a full‐discrete scheme, we apply the spectral finite element method on the spatial direction. Furthermore, the unconditional stability of semidiscrete scheme and convergence order of full‐discrete scheme of new technique are discussed. Finally, 2 test problems have been considered to demonstrate the ability and efficiency of the proposed numerical technique.
MehdiDehghan
,
MostafaAbbaszadeh
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/1DLQJzHlsek/mma.4839
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed‐order fractional damped diffusion‐wave equation
doi:10.1002/mma.4839
Mathematical Methods in the Applied Sciences
2018-03-23T08:47:47Z
Mathematical Methods in the Applied Sciences
2018-03-23T08:47:47Z
2018-03-23T08:47:47Z
10.1002/mma.4839
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4839?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4839?af=R
Weak solution to a one‐dimensional full compressible non‐Newtonian fluid
This paper is devoted to the existence of global‐in‐time weak solutions to a one‐dimensional full compressible non‐Newtonian fluid. A semi‐discrete finite element scheme is taken to generate approximate solutions, based on an exact projection technique. To enforce convergence of the approximate solutions, the uniform estimate is obtained using an iteration method and energy method, with the help of the weak compactness and convexity. Numerical simulations showing the existence of solutions are presented.
LiFang
,
XiaojingKong
,
JinjingLiu
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/OdH5UjDOnNs/mma.4837
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Weak solution to a one‐dimensional full compressible non‐Newtonian fluid
doi:10.1002/mma.4837
Mathematical Methods in the Applied Sciences
2018-03-23T08:47:16Z
Mathematical Methods in the Applied Sciences
2018-03-23T08:47:16Z
2018-03-23T08:47:16Z
10.1002/mma.4837
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4837?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4837?af=R
Well‐posedness of a generalized time‐harmonic transport equation for acoustics in flow
We study a generalized time‐harmonic transport equation, which appears in the Goldstein equations and allows us to model the acoustic radiation in a flow. We investigate the well‐posedness of this transport problem. The result will be established under the assumption of a Ω‐filling flow, which, in 2D, is simply equivalent to a flow that does not vanish. The approach relies on the method of characteristics, which leads to the resolution of the transport equation along the streamlines, and on general results of functional analysis. The theoretical results are illustrated with numerical results obtained with a Streamline Upwind Petrov‐Galerkin finite element scheme.
A.Bensalah
,
P.Joly
,
J.‐F.Mercier
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/GmeKD_c1blU/mma.4805
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Well‐posedness of a generalized time‐harmonic transport equation for acoustics in flow
doi:10.1002/mma.4805
Mathematical Methods in the Applied Sciences
2018-03-23T08:48:51Z
Mathematical Methods in the Applied Sciences
2018-03-23T08:48:51Z
2018-03-23T08:48:51Z
10.1002/mma.4805
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4805?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4805?af=R
Influence of a simple pole on the convergence of separate node ascending derivatives expansion (SNADE) on a sequence of nodes alternating between 2 values
This work focuses on the influence of a simple pole on a new function representing method we called separate node ascending derivatives expansion (SNADE) convergence characteristics. Even though SNADE can be somehow considered as a new Taylor series expansion, it is distincted from Taylor series expansion by its different nodal points using features. This paper focuses on certain details of SNADE about convergence and its validity. Beyond that, this research focusing on the influence of a simple pole location in the function on the convergence characteristics involves completely new original findings and reported in this paper where a specific importance is given to the case where the SNADE nodal sequence is composed of elements alternating between two nodal values.
DeryaBodur
,
MetinDemiralp
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/0hGW1fcIyTs/mma.4836
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Influence of a simple pole on the convergence of separate node ascending derivatives expansion (SNADE) on a sequence of nodes alternating between 2 values
doi:10.1002/mma.4836
Mathematical Methods in the Applied Sciences
2018-03-23T08:58:25Z
Mathematical Methods in the Applied Sciences
2018-03-23T08:58:25Z
2018-03-23T08:58:25Z
10.1002/mma.4836
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4836?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4836?af=R
Counting and enumerating partial Latin rectangles by means of computer algebra systems and CSP solvers
This paper provides an in‐depth analysis of how computer algebra systems and CSP solvers can be used to deal with the problem of enumerating and distributing the set of r×s partial Latin rectangles based on n symbols according to their weight, shape, type, or structure. The computation of Hilbert functions and triangular systems of radical ideals enables us to solve this problem for all r,s,n≤6. As a by‐product, explicit formulas are determined for the number of partial Latin rectangles of weight up to 6. Further, to illustrate the effectiveness of the computational method, we focus on the enumeration of 3 subsets: (1) noncompressible and regular, (2) totally symmetric, and (3) totally conjugate orthogonal partial Latin squares. In particular, the former enables us to enumerate the set of seminets of point rank up to 8 and to prove the existence of 2 new configurations of point rank 8. Finally, as an illustrative application, it is also exposed a method to construct totally symmetric partial Latin squares that gives rise, under certain conditions, to new families of Lie partial quasigroup rings.
Raúl M.Falcón
,
Óscar J.Falcón
,
JuanNúñez
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/rSghQHCJov0/mma.4820
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Counting and enumerating partial Latin rectangles by means of computer algebra systems and CSP solvers
doi:10.1002/mma.4820
Mathematical Methods in the Applied Sciences
2018-03-23T08:59:41Z
Mathematical Methods in the Applied Sciences
2018-03-23T08:59:41Z
2018-03-23T08:59:41Z
10.1002/mma.4820
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4820?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4820?af=R
Forced oscillation of delay difference equations via nonprincipal solution
In this paper, we obtain a new oscillation result for delay difference equations of the form
under the assumption that corresponding homogenous equation
is nonoscillatory, where τn≤n+1. It is observed that the oscillation behaviormay be altered due to presence of the delay. Extensions to forced Emden‐Fowler–type delay difference equations
in the sublinear (0<α<1) and the superlinear (1<α) cases are also discussed.
AbdullahÖzbekler
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/PTlKABERbag/mma.4843
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Forced oscillation of delay difference equations via nonprincipal solution
doi:10.1002/mma.4843
Mathematical Methods in the Applied Sciences
2018-03-23T05:36:09Z
Mathematical Methods in the Applied Sciences
2018-03-23T05:36:09Z
2018-03-23T05:36:09Z
10.1002/mma.4843
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4843?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4843?af=R
Analyticity for a class of nonlocal Kuramoto‐Sivashinsky equations arising in interfacial electrohydrodynamics
In this article, we study the analyticity properties of solutions of the nonlocal Kuramoto‐Sivashinsky equations,
defined on 2π‐periodic intervals, where ν is a positive constant; μ is a nonnegative constant; p is an arbitrary but fixed real number in the interval [3,4); and
is an operator defined by its symbol in Fourier space, with
be the Hilbert transform. We establish spatial analyticity in a strip around the real axis for the solutions of such equations, which possess universal attractors. Also, a lower bound for the width of the strip of analyticity is obtained.
XenakisIoakim
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/7a1fYrMw6NA/mma.4844
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Analyticity for a class of nonlocal Kuramoto‐Sivashinsky equations arising in interfacial electrohydrodynamics
doi:10.1002/mma.4844
Mathematical Methods in the Applied Sciences
2018-03-23T05:37:23Z
Mathematical Methods in the Applied Sciences
2018-03-23T05:37:23Z
2018-03-23T05:37:23Z
10.1002/mma.4844
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4844?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4844?af=R
Numerical algorithms for approximation of fractional integral operators based on quadratic interpolation
We present numerical algorithms calculating compositions of the left and right fractional integrals. We apply quadratic interpolation and obtain the fractional Simpson's rule. We estimate the local truncation error of the proposed approximations, calculate errors generated by presented algorithms, and determine the experimental rate of convergence. Finally, we show examples of numerical evaluation of these operators.
TomaszBlaszczyk
,
JaroslawSiedlecki
,
MariuszCiesielski
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/nmA2Mr_nsTk/mma.4828
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Numerical algorithms for approximation of fractional integral operators based on quadratic interpolation
doi:10.1002/mma.4828
Mathematical Methods in the Applied Sciences
2018-03-23T05:37:48Z
Mathematical Methods in the Applied Sciences
2018-03-23T05:37:48Z
2018-03-23T05:37:48Z
10.1002/mma.4828
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4828?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4828?af=R
Existence of solutions of infinite systems of differential equations of general order with boundary conditions in the spaces c0 and ℓ1 via the measure of noncompactness
The aim of this paper is to obtain existence results for an infinite system of differential equations of order n with boundary conditions in the Banach spaces c0 and ℓ1 with the help of a technique associated with measures of noncompactness. We also provide some illustrative examples in support of our existence theorems.
H. M.Srivastava
,
AnupamDas
,
BipanHazarika
,
S. A.Mohiuddine
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/fRYikDHkeRs/mma.4845
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Existence of solutions of infinite systems of differential equations of general order with boundary conditions in the spaces c0 and ℓ1 via the measure of noncompactness
doi:10.1002/mma.4845
Mathematical Methods in the Applied Sciences
2018-03-25T06:52:10Z
Mathematical Methods in the Applied Sciences
2018-03-25T06:52:10Z
2018-03-25T06:52:10Z
10.1002/mma.4845
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4845?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4845?af=R
A class of efficient high‐order iterative methods with memory for nonlinear equations and their dynamics
In this paper we obtain some theoretical results about iterative methods with memory for nonlinear equations. The class of algorithms we consider focus on incorporating memory without increasing the computational cost of the algorithm. This class uses for the predictor step of each iteration a quantity that has already been calculated in the previous iteration, typically the quantity governing the slope from the previous corrector step. In this way we do not introduce any extra computation, and more importantly, we avoid new function evaluations, allowing us to obtain high‐order iterative methods in a simple way. A specific class of methods of this type is introduced, and we prove the convergence order is 2n+2n−2 with n+1 function evaluations. An exhaustive efficiency study is performed to show the competitiveness of these methods. Finally, we test some specific examples and explore the effect that this predictor may have on the convergence set by setting a dynamical study.
Cory L.Howk
,
José L.Hueso
,
EulaliaMartínez
,
CarlesTeruel
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/1wCnVRdmD7o/mma.4821
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
A class of efficient high‐order iterative methods with memory for nonlinear equations and their dynamics
doi:10.1002/mma.4821
Mathematical Methods in the Applied Sciences
2018-03-25T06:59:50Z
Mathematical Methods in the Applied Sciences
2018-03-25T06:59:50Z
2018-03-25T06:59:50Z
10.1002/mma.4821
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4821?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4821?af=R
Stability of nonconstant steady‐state solutions for 2‐fluid nonisentropic Euler‐Poisson equations in semiconductor
We consider the periodic problem for 2‐fluid nonisentropic Euler‐Poisson equations in semiconductor. By choosing a suitable symmetrizers and using an induction argument on the order of the time‐space derivatives of solutions in energy estimates, we obtain the global stability of solutions with exponential decay in time near the nonconstant steady‐states for 2‐fluid nonisentropic Euler‐Poisson equations. This improves the results obtained for models with temperature diffusion terms by using the pressure functions pν in place of the unknown variables densities nν.
XinLi
,
ShuWang
,
YuehongFeng
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/pHDbQbahyaA/mma.4848
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Stability of nonconstant steady‐state solutions for 2‐fluid nonisentropic Euler‐Poisson equations in semiconductor
doi:10.1002/mma.4848
Mathematical Methods in the Applied Sciences
2018-03-25T07:08:25Z
Mathematical Methods in the Applied Sciences
2018-03-25T07:08:25Z
2018-03-25T07:08:25Z
10.1002/mma.4848
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4848?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4848?af=R
Inframonogenic functions and their applications in 3‐dimensional elasticity theory
Solutions of the sandwich equation
, where
stands for the first‐order differential operator (called Dirac operator) in the Euclidean space
, are known as inframonogenic functions. These functions generalize in a natural way the theory of kernels associated with
, the nowadays well‐known monogenic functions, and can be viewed also as a refinement of the biharmonic ones. In this paper we deepen study the connections between inframonogenic functions and the solutions of the homogeneous Lamé‐Navier system in
. Our findings allow to shed some new light on the structure of the solutions of this fundamental system in 3‐dimensional elasticity theory.
ArsenioMoreno García
,
TaniaMoreno García
,
RicardoAbreu Blaya
,
JuanBory Reyes
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/UJdomk1gEBw/mma.4850
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Inframonogenic functions and their applications in 3‐dimensional elasticity theory
doi:10.1002/mma.4850
Mathematical Methods in the Applied Sciences
2018-03-25T07:11:15Z
Mathematical Methods in the Applied Sciences
2018-03-25T07:11:15Z
2018-03-25T07:11:15Z
10.1002/mma.4850
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4850?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4850?af=R
Applications of a formula on Beltrami flow
In this note, we obtain uniqueness results for Beltrami flow in both bounded and unbounded domain with nonempty boundary by establishing an elementary but useful formula involving operators div and curl. We also use this formula to deal with Maxwell and Stokes eigenvalue problems.
YongZeng
,
ZhibingZhang
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/ZqVFYmEdMgk/mma.4851
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Applications of a formula on Beltrami flow
doi:10.1002/mma.4851
Mathematical Methods in the Applied Sciences
2018-03-25T07:13:02Z
Mathematical Methods in the Applied Sciences
2018-03-25T07:13:02Z
2018-03-25T07:13:02Z
10.1002/mma.4851
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4851?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4851?af=R
Poisson semigroup characterization and the trace theorem of a class of fractional mean oscillation spaces
In this paper, we use regular wavelets to study the Poisson extension of the fractional mean oscillation spaces
. Via a distributional trace operator πφ, we establish a relation between
and a class of harmonic function spaces
.
PengtaoLi
,
LizhongPeng
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/csicgTqd3i0/mma.4838
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Poisson semigroup characterization and the trace theorem of a class of fractional mean oscillation spaces
doi:10.1002/mma.4838
Mathematical Methods in the Applied Sciences
2018-03-25T07:15:21Z
Mathematical Methods in the Applied Sciences
2018-03-25T07:15:21Z
2018-03-25T07:15:21Z
10.1002/mma.4838
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4838?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4838?af=R
Wastewater bioremediation using white rot fungi: Validation of a dynamical system with real data obtained in laboratory
Nowadays, wastewater treatment has become an important issue in view of the ever increasing worldwide paucity of abundant and clean water supplies. In this work, we propose a mathematical model describing the process of decolorization of textile industry wastewater and validate it using data from a laboratory experiment. To this aim, a selected white rot fungus, capable of degrading a wide range of recalcitrant compounds, is used against Remazol Brilliant Blue Reactive dye. The real data obtained in laboratory are use to fit the parameters of our model. The qualitative analysis is performed to study the behavior of the wastewater and of the fungus as functions of time. In the present study the, carbon (glucose) has an important role in the system since it can sustain the fungal metabolism and growth. Furthermore a more general mathematical model is studied, considering an open system where there is a constant input and output of pollutant and nutrients respectively.
Iulia MartinaBulai
,
FedericaSpina
,
Giovanna CristinaVarese
,
EzioVenturino
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/xn3HyoDTev0/mma.4834
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Wastewater bioremediation using white rot fungi: Validation of a dynamical system with real data obtained in laboratory
doi:10.1002/mma.4834
Mathematical Methods in the Applied Sciences
2018-03-25T07:19:45Z
Mathematical Methods in the Applied Sciences
2018-03-25T07:19:45Z
2018-03-25T07:19:45Z
10.1002/mma.4834
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4834?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4834?af=R
On the similarity solutions and conservation laws of the Cooper‐Shepard‐Sodano equation
In this paper, for the Cooper‐Shepard‐Sodano equation, some conservation laws are obtained by applying the multiplier method. Furthermore, we study this equation from the point of view of Lie symmetries. We perform an analysis of the symmetry reductions taking into account the similarity variables and the similarity solutions, which allow us to transform our equation into ordinary differential equations.
M. S.Bruzón
,
E.Recio
,
T. M.Garrido
,
A. P.Márquez
,
R.de la Rosa
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/DHc6SJAVo_Y/mma.4829
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
On the similarity solutions and conservation laws of the Cooper‐Shepard‐Sodano equation
doi:10.1002/mma.4829
Mathematical Methods in the Applied Sciences
2018-03-25T05:56:18Z
Mathematical Methods in the Applied Sciences
2018-03-25T05:56:18Z
2018-03-25T05:56:18Z
10.1002/mma.4829
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4829?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4829?af=R
On an alternative view to complex calculus
In most (if not all) textbooks on complex calculus, the differentiation and integration of complex functions are presented by using the algebraic form of complex variables because the respective formulae in terms of the polar form are inappropriate. In this paper, we demonstrate that by transferring the field structure of the system of complex numbers to the Riemann surface of complex logarithm and changing the sense of derivative and integral, complex calculus can be delivered in terms of the polar form of complex variables identically to the presentation in terms of algebraic form.
Agamirza E.Bashirov
,
SajedehNorozpour
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/qvnSdpFA274/mma.4827
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
On an alternative view to complex calculus
doi:10.1002/mma.4827
Mathematical Methods in the Applied Sciences
2018-03-25T05:56:58Z
Mathematical Methods in the Applied Sciences
2018-03-25T05:56:58Z
2018-03-25T05:56:58Z
10.1002/mma.4827
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4827?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4827?af=R
Generalised magnetic polarizability tensors
We present a new complete asymptotic expansion for the low‐frequency time‐harmonic magnetic field perturbation caused by the presence of a conducting (permeable) object as its size tends to zero for the eddy current regime of Maxwell's equations. The new asymptotic expansion allows the characterisation of the shape and material properties of such objects by a new class of generalised magnetic polarizability tensors, and we provide an explicit formula for their calculation. Our result will have important implications for metal detectors since it will improve small object discrimination, and for situations where the background field varies over the inclusion, this information will be useable, and indeed useful, in identifying their shape and material properties. Thus, improving the ability of metal detectors to locate landmines and unexploded ordnance, sort metals in recycling processes, and ensure food safety as well as enhancing security screening at airports and public events.
Paul DavidLedger
,
William R.B.Lionheart
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/kuFTz4hbAu0/mma.4809
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Generalised magnetic polarizability tensors
doi:10.1002/mma.4809
Mathematical Methods in the Applied Sciences
2018-03-25T05:57:05Z
Mathematical Methods in the Applied Sciences
2018-03-25T05:57:05Z
2018-03-25T05:57:05Z
10.1002/mma.4809
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4809?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4809?af=R
Numerical solving of several types of two‐dimensional integral equations and estimation of error bound
Using fixed‐point techniques and Faber‐Schauder systems in Banach spaces, we obtain an approximation of the solution of 2‐dimensional nonlinear Volterra, Fredholm, and mixed Volterra‐Fredholm integral equations.
Maria IsabelBerenguer
,
DomingoGámez
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/H0X8_t4PG24/mma.4840
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Numerical solving of several types of two‐dimensional integral equations and estimation of error bound
doi:10.1002/mma.4840
Mathematical Methods in the Applied Sciences
2018-03-25T05:57:22Z
Mathematical Methods in the Applied Sciences
2018-03-25T05:57:22Z
2018-03-25T05:57:22Z
10.1002/mma.4840
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4840?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4840?af=R
An inverse problem of identifying the diffusion coefficient in a coupled parabolic‐elliptic system
This work studies a nonlinear inverse problem of reconstructing the diffusion coefficient in a parabolic‐elliptic system using the final measurement data, which has important application in a large field of applied science. Being different from other works, which are governed by single partial differential equations, the underlying mathematical model in this paper is a coupled parabolic‐elliptic system, which makes theoretical analysis rather difficult. On the basis of the optimal control framework, the identification problem is transformed into an optimization problem. Then the existence of the minimizer is proved, and the necessary condition that must be satisfied by the minimizer is also given. Since the optimal control problem is nonconvex, one may not expect a unique solution universally. However, the local uniqueness and stability of the minimizer are deduced in this paper.
Zui‐ChaDeng
,
ChaoCai
,
LiuYang
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/3ItgsZWjdv8/mma.4833
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
An inverse problem of identifying the diffusion coefficient in a coupled parabolic‐elliptic system
doi:10.1002/mma.4833
Mathematical Methods in the Applied Sciences
2018-03-25T05:57:27Z
Mathematical Methods in the Applied Sciences
2018-03-25T05:57:27Z
2018-03-25T05:57:27Z
10.1002/mma.4833
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4833?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4833?af=R
Dynamic response of pulsatile flow of blood in a stenosed tapered artery
The aim of this paper is to throw some light on the rheological study of pulsatile blood flow in a stenosed tapered arterial segment. Arterial wall is considered to be rigid and flexible separately for improving the similarity to the in vivo situation. The streaming blood is considered to be Newtonian. The governing nonlinear equations of motion are sought using the well‐known stream function‐vorticity method and are solved numerically by finite difference technique. Important rheological parameters, such as axial velocity component, wall shear stress, and flow separation region are estimated in the neighborhood of the stenosis. Effects of stenosis height, vessel tapering, and wall flexibility on the blood flow are investigated properly and are explained in detail through their graphical representations.
SubrataMukhopadhyay
,
Mani ShankarMandal
,
SwatiMukhopadhyay
,
E.Venturino
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/z2EBxMhqhXY/mma.4874
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Dynamic response of pulsatile flow of blood in a stenosed tapered artery
doi:10.1002/mma.4874
Mathematical Methods in the Applied Sciences
2018-03-25T05:58:45Z
Mathematical Methods in the Applied Sciences
2018-03-25T05:58:45Z
2018-03-25T05:58:45Z
10.1002/mma.4874
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4874?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4874?af=R
Some results on implicit contractive conditions in metric spaces endowed with arbitrary binary relations
The main purpose of this study is to establish some coincidence and common fixed point theorems for 2 self‐mappings via the condition of implicit function on metric spaces provided with arbitrary binary relation. In our results, the main theorems are the generalized version of the literatures, and we also give some examples to guarantee our main results. Moreover, we show that the result to guarantee a coincidence point which are more useful than the previous results of Banach's contraction which cannot be applied. Furthermore, we include some consequences for proving the corollary, which satisfied several well‐known contractions that are obtained from the main results.
NantapornChuensupantharat
,
PoomKumam
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/KXYZJjp1VAc/mma.4861
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Some results on implicit contractive conditions in metric spaces endowed with arbitrary binary relations
doi:10.1002/mma.4861
Mathematical Methods in the Applied Sciences
2018-03-27T07:05:38Z
Mathematical Methods in the Applied Sciences
2018-03-27T07:05:38Z
2018-03-27T07:05:38Z
10.1002/mma.4861
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4861?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4861?af=R
Differential systems with reflection and matrix invariants
In this work, we derive important properties regarding matrix invariants that occur in the theory of differential equations with reflection.
SantiagoCodesido
,
F. AdriánF. Tojo
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/4MT9S_FBTUA/mma.4865
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Differential systems with reflection and matrix invariants
doi:10.1002/mma.4865
Mathematical Methods in the Applied Sciences
2018-03-27T07:16:57Z
Mathematical Methods in the Applied Sciences
2018-03-27T07:16:57Z
2018-03-27T07:16:57Z
10.1002/mma.4865
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4865?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4865?af=R
Solvability of fourth‐order Sturm‐Liouville problems with abstract linear functionals in boundary‐transmission conditions
This study deals with the solvability of one nonclassical boundary‐value problem for fourth‐order differential equation on two disjoint intervals I1=(−1,0)and I2=(0,1). The boundary conditions contain not only endpoints x=−1and x=1but also a point of interaction x=0, finite number internal points xjki∈Ij and abstract linear functionals Sk. So, our problem is not a pure differential one. We investigate such important properties as isomorphism, Fredholmness and coerciveness with respect to the spectral parameter. Note that the obtained results are new even in the case of the boundary conditions without internal points xjki and without abstract linear functionals Sk.
MustafaKandemir
,
Oktay Sh.Mukhtarov
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/UeNkjd4cssE/mma.4852
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Solvability of fourth‐order Sturm‐Liouville problems with abstract linear functionals in boundary‐transmission conditions
doi:10.1002/mma.4852
Mathematical Methods in the Applied Sciences
2018-03-27T07:17:30Z
Mathematical Methods in the Applied Sciences
2018-03-27T07:17:30Z
2018-03-27T07:17:30Z
10.1002/mma.4852
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4852?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4852?af=R
Mathematics of a sex‐structured model for syphilis transmission dynamics
Syphilis, a major sexually transmitted disease, continues to pose major public health burden in both underdeveloped and developed nations of the world. This study presents a new 2‐group sex‐structured model for assessing the community‐level impact of treatment and condom use on the transmission dynamics and control of syphilis. Rigorous analysis of the model shows that it undergoes the phenomenon of backward bifurcation. In the absence of this phenomenon (which is shown to arise because of the reinfection of recovered individuals), the disease‐free equilibrium of the model is shown to be globally asymptotically stable when the associated reproduction number is less than unity. Furthermore, the model can have multiple endemic equilibria when the reproduction threshold exceeds unity. Numerical simulations of the model, using data relevant to the transmission dynamics of the disease in Nigeria, show that, with the assumed 80% condom efficacy, the disease will continue to persist (ie, remain endemic) in the population regardless of the level of compliance in condom usage by men. Furthermore, detailed optimal control analysis (using Pontraygin's maximum principle) reveals that, for situations where the cost of implementing the controls (treatment and condom‐use) considered in this study is low, channelling resources to a treatment‐only strategy is more effective than channelling them to a condom‐use only strategy. Furthermore, as expected, the combined condom‐treatment strategy provides a higher population‐level impact than the treatment‐only strategy or the condom‐use only strategy. When the cost of implementing the controls is high, the 3 strategies are essentially equally as ineffective.
AbbaB. Gumel
,
JeanM.‐S. Lubuma
,
OluwaseunSharomi
,
Yibeltal AdaneTerefe
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/fvsHlVQi5bE/mma.4734
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Mathematics of a sex‐structured model for syphilis transmission dynamics
doi:10.1002/mma.4734
Mathematical Methods in the Applied Sciences
2018-03-27T07:21:00Z
Mathematical Methods in the Applied Sciences
2018-03-27T07:21:00Z
2018-03-27T07:21:00Z
10.1002/mma.4734
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4734?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4734?af=R
Meromorphic solutions of some algebraic differential equations related Painlevé equation IV and its applications
In this paper, the complex method is used to derive meromorphic solutions to some algebraic differential equations related Painlevé equation IV, and then we illustrate our main result by some computer simulations. By the application of our result, we obtain meromorphic solutions of a nonlinear evolution equation. We can apply the idea of this study for other nonlinear evolution equations in mathematical physics.
YongyiGu
,
WenjunYuan
,
NajvaAminakbari
,
JianmingLin
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/qfekkaKaNMs/mma.4869
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Meromorphic solutions of some algebraic differential equations related Painlevé equation IV and its applications
doi:10.1002/mma.4869
Mathematical Methods in the Applied Sciences
2018-03-27T07:26:19Z
Mathematical Methods in the Applied Sciences
2018-03-27T07:26:19Z
2018-03-27T07:26:19Z
10.1002/mma.4869
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4869?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4869?af=R
On stability and stabilization of some discrete dynamical systems
The paper formulates effective and nonimprovable stability conditions for a linear difference system involving 2 integer delays. The used technique combines algorithm of the discrete D‐decomposition method with some procedures of the polynomial theory. Contrary to the related existing results, the derived conditions are fully explicit with respect to both delays, which enables their simple applicability in various scientific and engineering areas. As an illustration, we show their importance in delayed feedback controls of discrete dynamical systems, with a particular emphasis put on stabilization of unstable steady states of the discrete logistic map.
JanČermák
,
JiříJánský
,
HideakiMatsunaga
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/EtUOnRxTriI/mma.4855
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
On stability and stabilization of some discrete dynamical systems
doi:10.1002/mma.4855
Mathematical Methods in the Applied Sciences
2018-03-27T07:29:21Z
Mathematical Methods in the Applied Sciences
2018-03-27T07:29:21Z
2018-03-27T07:29:21Z
10.1002/mma.4855
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4855?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4855?af=R
On the global existence and small dissipation limit for generalized dissipative Zakharov system
This paper deals with the existence and uniqueness of the global solutions to the initial boundary value problem for a generalized Zakharov system with direct self‐interaction of the dispersive waves and weak dissipation in the nondispersive subsystem. We prove the global existence of the generalized solution to the problem by a priori estimates and Galerkin method. We also establish the regularity of the global generalized solution and the existence and uniqueness of the global classical solution. Moreover, we obtain the convergence of the solutions of the generalized Zakharov system with dissipation as the dissipative coefficient approaches zero.
XueqinWang
,
YadongShang
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/U6OM1_tcRE0/mma.4859
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
On the global existence and small dissipation limit for generalized dissipative Zakharov system
doi:10.1002/mma.4859
Mathematical Methods in the Applied Sciences
2018-03-27T07:29:52Z
Mathematical Methods in the Applied Sciences
2018-03-27T07:29:52Z
2018-03-27T07:29:52Z
10.1002/mma.4859
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4859?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4859?af=R
Generalization of combination‐combination synchronization of n‐dimensional time‐delay chaotic system via robust adaptive sliding mode control
In this manuscript, the methodology to achieve combination‐combination synchronization of time‐delay chaotic system via robust adaptive sliding mode control is introduced. The methodology is implemented by taking identical multiple time‐delay Lorenz chaotic system. By using rigorous mathematical theory, the sufficient condition is drawn for the stability of error dynamics based on Lyapunov stability theory. Theoretical results are supported with the numerical simulations.
AyubKhan
,
ShikhaSingh
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/wO_WqGE46iU/mma.4830
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Generalization of combination‐combination synchronization of n‐dimensional time‐delay chaotic system via robust adaptive sliding mode control
doi:10.1002/mma.4830
Mathematical Methods in the Applied Sciences
2018-03-27T07:35:48Z
Mathematical Methods in the Applied Sciences
2018-03-27T07:35:48Z
2018-03-27T07:35:48Z
10.1002/mma.4830
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4830?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4830?af=R
Spectral Galerkin approximation and rigorous error analysis for the Steklov eigenvalue problem in circular domain
In this paper, we present spectral Galerkin approximation and rigorous error analysis for the Steklov eigenvalue problem in a circular domain. First of all, we use the polar coordinate transformation and technique of separation of variables to reduce the problem to a sequence of equivalent 1‐dimensional eigenvalue problems that can be solved individually in parallel. Then, we derive the pole conditions and introduce weighted Sobolev space according to pole conditions. Together with the approximate properties of orthogonal polynomials, we prove the error estimates of approximate eigenvalues for each 1‐dimensional eigenvalue problem. Finally, we provide some numerical experiments to validate the theoretical results and algorithms.
TingTan
,
JingAn
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/3vN7rbm_0Tw/mma.4863
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Spectral Galerkin approximation and rigorous error analysis for the Steklov eigenvalue problem in circular domain
doi:10.1002/mma.4863
Mathematical Methods in the Applied Sciences
2018-03-27T07:36:28Z
Mathematical Methods in the Applied Sciences
2018-03-27T07:36:28Z
2018-03-27T07:36:28Z
10.1002/mma.4863
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4863?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4863?af=R
Pullback exponential attractors for evolution processes with the difference of 2 solutions lacking smoothing property
In this paper, we construct the pullback exponential attractors for evolution processes in which the difference of 2 solutions lacks the smoothing property. To do this, by the uniform squeezing property of the corresponding discrete process, we add the points to the pullback attractor such that every new set of it has the finite fractal dimension and pullback exponentially attracts every bounded subset of the phase space. As the applications, we establish the existence of pullback exponential attractors for non‐autonomous reaction‐diffusion equation without any restriction on the growing order of nonlinear term and non‐autonomous strongly damped wave equation in
with critical nonlinearity.
XiaojunLi
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/9xIJOIGVzeM/mma.4866
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Pullback exponential attractors for evolution processes with the difference of 2 solutions lacking smoothing property
doi:10.1002/mma.4866
Mathematical Methods in the Applied Sciences
2018-03-30T11:51:01Z
Mathematical Methods in the Applied Sciences
2018-03-30T11:51:01Z
2018-03-30T11:51:01Z
10.1002/mma.4866
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4866?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4866?af=R
Analysis of positive solution and Hyers‐Ulam stability for a class of singular fractional differential equations with p‐Laplacian in Banach space
This paper deals with 2 core aspects of fractional calculus including existence of positive solution and Hyers‐Ulam stability for a class of singular fractional differential equations with nonlinear p‐Laplacian operator in Caputo sense. For these aims, the suggested problem is converted into an integral equation via Green function
, for ε∈(n−1,n], where n≥4. Then, the Green function is examined whether it is increasing or decreasing and positive or negative function. After these properties, some classical fixed‐point theorems are used for the existence of positive solution. Hyers‐Ulam stability of the proposed problem is also considered. For the application of the results, an expressive example is included.
HasibKhan
,
WenChen
,
HongguangSun
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/wzBu01Bl1KM/mma.4835
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Analysis of positive solution and Hyers‐Ulam stability for a class of singular fractional differential equations with p‐Laplacian in Banach space
doi:10.1002/mma.4835
Mathematical Methods in the Applied Sciences
2018-03-30T11:52:49Z
Mathematical Methods in the Applied Sciences
2018-03-30T11:52:49Z
2018-03-30T11:52:49Z
10.1002/mma.4835
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4835?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4835?af=R
Estimates for a general fractional relaxation equation and application to an inverse source problem
A general fractional relaxation equation is considered with a convolutional derivative in time introduced by A. Kochubei (Integr. Equ. Oper. Theory 71 (2011), 583–600). This equation generalizes the single‐term, multiterm, and distributed‐order fractional relaxation equations. The fundamental and the impulse‐response solutions are studied in detail. Properties such as analyticity and subordination identities are established and employed in the proof of an upper and a lower bound. The obtained results extend some known properties of the Mittag‐Leffler functions. As an application of the estimates, uniqueness and conditional stability are established for an inverse source problem for the general time‐fractional diffusion equation on a bounded domain.
EmiliaBazhlekova
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/aEsiYgsHVss/mma.4868
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Estimates for a general fractional relaxation equation and application to an inverse source problem
doi:10.1002/mma.4868
Mathematical Methods in the Applied Sciences
2018-03-30T11:52:42Z
Mathematical Methods in the Applied Sciences
2018-03-30T11:52:42Z
2018-03-30T11:52:42Z
10.1002/mma.4868
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4868?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4868?af=R
Endpoint regularity criterion for weak solutions of the 3D incompressible liquid crystals system
In this paper, we consider the endpoint case regularity for the 3D liquid crystals system. We prove that if
, then weak solution (v,d) is smooth, and our main observation is that the condition
is not necessary in this situation. The proof is based on the blow‐up analysis and backward uniqueness for the parabolic operator developed by Escauriaza‐Seregin‐S̆verák.
YueyangMen
,
WendongWang
,
GangWu
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/xI1lcBcGESk/mma.4854
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Endpoint regularity criterion for weak solutions of the 3D incompressible liquid crystals system
doi:10.1002/mma.4854
Mathematical Methods in the Applied Sciences
2018-03-30T11:54:35Z
Mathematical Methods in the Applied Sciences
2018-03-30T11:54:35Z
2018-03-30T11:54:35Z
10.1002/mma.4854
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4854?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4854?af=R
Exact solution of a class of fractional integro‐differential equations with the weakly singular kernel based on a new fractional reproducing kernel space
In this paper, we construct a new fractional weighted reproducing kernel space, which is the minimum space containing the exact solution. The closed form of the reproducing kernel is obtained. Using this fractional reproducing kernel space, a class of fractional integro‐differential equations with a weakly singular kernel is solved. The error estimation is given. The final numerical experiments demonstrate the correctness of the theory and the effectiveness of the method.
ZhongChen
,
LongbinWu
,
YingzhenLin
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/JDA2N2pXjy0/mma.4870
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Exact solution of a class of fractional integro‐differential equations with the weakly singular kernel based on a new fractional reproducing kernel space
doi:10.1002/mma.4870
Mathematical Methods in the Applied Sciences
2018-03-30T11:59:25Z
Mathematical Methods in the Applied Sciences
2018-03-30T11:59:25Z
2018-03-30T11:59:25Z
10.1002/mma.4870
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4870?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4870?af=R
Dynamical behaviors on a delay differential neoclassical growth model with patch structure
In this paper, by applying the fluctuation lemma and some differential inequality technique, delay‐dependent criteria are obtained for the global attractivity of a differential neoclassical growth model with patch structure and multiple time‐varying delays. Moreover, some numerical examples are provided to illustrate the validity of the obtained results.
GangYang
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/NLaW91DUoYU/mma.4872
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Dynamical behaviors on a delay differential neoclassical growth model with patch structure
doi:10.1002/mma.4872
Mathematical Methods in the Applied Sciences
2018-04-02T08:00:41Z
Mathematical Methods in the Applied Sciences
2018-04-02T08:00:41Z
2018-04-02T08:00:41Z
10.1002/mma.4872
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4872?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4872?af=R
A class of vector‐valued dilation‐and‐modulation frames on the half real line
Vector‐valued frames were first introduced under the name of superframes by Balan in the context of signal multiplexing and by Han and Larson from the mathematical aspect. Since then, the wavelet and Gabor frames in
have interested many mathematicians. The space
models vector‐valued causal signal spaces because of the time variable being nonnegative. But it admits no nontrivial shift‐invariant system and thus no wavelet or Gabor frame since
is not a group by addition (not as
). Observing that
is a group by multiplication, we, in this paper, introduce a class of multiplication‐based dilation‐and‐modulation (
) systems, and investigate the theory of
frames in
. Since
is not closed under the Fourier transform, the Fourier transform does not fit
. We introduce the notion of Θa transform in
, and using Θa‐transform matrix method, we characterize
frames, Riesz bases, and dual frames in
and obtain an explicit expression of
duals for an arbitrary given
frame. An example theorem is also presented.
Ya‐HuiWang
,
Yun‐ZhangLi
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/adQHcrfgxcg/mma.4875
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
A class of vector‐valued dilation‐and‐modulation frames on the half real line
doi:10.1002/mma.4875
Mathematical Methods in the Applied Sciences
2018-04-02T08:02:05Z
Mathematical Methods in the Applied Sciences
2018-04-02T08:02:05Z
2018-04-02T08:02:05Z
10.1002/mma.4875
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4875?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4875?af=R
Ideal density‐dependent incompressible viscoelastic flow in the critical Besov spaces
In this paper, we consider the well‐posedness issue for the density‐dependent incompressible viscoelastic fluids of the Oldroyd model for the ideal case in space dimension greater than 2. We obtain the local well‐posedness of this model under the assumption that the initial density is bounded away from zero in the critical Besov spaces by means of the Littlewood‐Paley theory and Bony's paradifferential calculus. In particular, we obtain a Beale‐Kato‐Majida–type regularity criterion.
HuaQiu
,
ShaomeiFang
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/hxCbpWPv-qM/mma.4877
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Ideal density‐dependent incompressible viscoelastic flow in the critical Besov spaces
doi:10.1002/mma.4877
Mathematical Methods in the Applied Sciences
2018-04-02T08:06:36Z
Mathematical Methods in the Applied Sciences
2018-04-02T08:06:36Z
2018-04-02T08:06:36Z
10.1002/mma.4877
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4877?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4877?af=R
Study of generalized Stokes operator in a thin domain with friction law (case p<2)
In this work, we consider a mathematical model of an incompressible fluid governed by the generalized Stokes system in a stationary regime in a 3‐dimensional thin domain Ωϵ with Tresca friction law. The problem statement and variational formulation of the problem are formulated. Then the estimates on velocity and pressure are proved in a fixed domain. Finally, our main goal concerns the specific Reynolds equation and the uniqueness of the solution
are obtained.
MohamedDilmi
,
MouradDilmi
,
HamidBenseridi
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/ZRE0oFETKpE/mma.4876
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Study of generalized Stokes operator in a thin domain with friction law (case p<2)
doi:10.1002/mma.4876
Mathematical Methods in the Applied Sciences
2018-04-02T08:09:34Z
Mathematical Methods in the Applied Sciences
2018-04-02T08:09:34Z
2018-04-02T08:09:34Z
10.1002/mma.4876
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4876?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4876?af=R
Cobweb model with conformable fractional derivatives
In this paper, the cobweb model is reformulated in terms of fractional‐order derivatives. In particular, we describe linear cobweb models in continuous time by using conformable fractional‐order derivatives. Then, the general solutions as well as stability criteria for the proposed models are given. Moreover, the developed models are illustrated with some examples.
MartinBohner
,
Veysel FuatHatipoğlu
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/S-PF2xd3kbg/mma.4846
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Cobweb model with conformable fractional derivatives
doi:10.1002/mma.4846
Mathematical Methods in the Applied Sciences
2018-04-03T02:34:25Z
Mathematical Methods in the Applied Sciences
2018-04-03T02:34:25Z
2018-04-03T02:34:25Z
10.1002/mma.4846
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4846?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4846?af=R
Modelling scholastic underachievement as a contagious disease
Some factors related to students behaviour are perceived to be important for academic failure. Such of these factors and some other factors contribute immensely to the problem of scholastic underachievement that is spreading among students of Kano University of Science and Technology, Wudil‐Nigeria. Considering such a problem as a contagious disease, we propose a mathematical model to study how this problem is spread in Kano University of Science and Technology, Wudil campus. The model analysis reveals that the reproduction numbers are sufficient to predict whether the problem can persist in the campus environment. Indeed, endemic persistence occurs if the pattern of recruiting new members is through both transition and progression. The sensitivity analysis of the parameters of the model threshold quantities shows that reducing the rates of recruiting new students to weak class through both transition and progression is an effective measure of containing the problem.
SalisuUsaini
,
Umar TasiuMustapha
,
Salihu MusaSabiu
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/dA-Jpf-OQBM/mma.4924
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Modelling scholastic underachievement as a contagious disease
doi:10.1002/mma.4924
Mathematical Methods in the Applied Sciences
2018-04-10T11:39:22Z
Mathematical Methods in the Applied Sciences
2018-04-10T11:39:22Z
2018-04-10T11:39:22Z
10.1002/mma.4924
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4924?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4924?af=R
Stability of the rarefaction wave for a coupled compressible Navier‐Stokes/Allen‐Cahn system
In this paper, we are concerned with the large time behavior of solutions to the Cauchy problem for the one dimensional Navier‐Stokes/Allen‐Cahn system. Motivated by the relationship between the Navier‐Stokes/Allen‐Cahn system and the Navier‐Stokes system, we can prove that the solutions to the one‐dimensional compressible Navier‐Stokes/Allen‐Cahn system tend time‐asymptotically to the rarefaction wave, where the strength of the rarefaction wave is not required to be small. The proof is mainly based on a basic energy method.
TingLuo
,
HaiyanYin
,
ChangjiangZhu
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/Ke39Qf_xXu0/mma.4925
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Stability of the rarefaction wave for a coupled compressible Navier‐Stokes/Allen‐Cahn system
doi:10.1002/mma.4925
Mathematical Methods in the Applied Sciences
2018-04-10T08:01:30Z
Mathematical Methods in the Applied Sciences
2018-04-10T08:01:30Z
2018-04-10T08:01:30Z
10.1002/mma.4925
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4925?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4925?af=R
On stability of fixed point inclusion for multivalued type contraction mappings in dislocated b‐metric spaces with application
In this paper, we introduce and prove fixed point results for some classes of ℑ‐contraction mappings on Pompeiu‐Hausdorff functionals in dislocated b‐metric spaces. We illustrate an example and graph to support our main results. We present the generalized Ulam‐Hyers stability of fixed point inclusion. Finally, we have applied our results to find a solution of Fredholm‐type integral inclusion in dislocated b‐metric spaces. Our results generalize some recent results and extend several theorems in the literature.
SupakPhiangsungnoen
,
PoomKumam
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/T2D0eAPYAaI/mma.4871
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
On stability of fixed point inclusion for multivalued type contraction mappings in dislocated b‐metric spaces with application
doi:10.1002/mma.4871
Mathematical Methods in the Applied Sciences
2018-04-10T11:39:54Z
Mathematical Methods in the Applied Sciences
2018-04-10T11:39:54Z
2018-04-10T11:39:54Z
10.1002/mma.4871
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4871?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4871?af=R
Blowup of solutions for the initial boundary value problem of the 3‐dimensional compressible damped Euler equations
The blowup phenomenon of solutions is investigated for the initial boundary value problem of the 3‐dimensional compressible damped Euler equations. It is shown that if the initial functional associated with a general test function is large enough, the solutions of the damped Euler equations will blow up on finite time. Hence, a class of blowup conditions is established. Moreover, the blowup time could be estimated.
Ka LuenCheung
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/jGxHY1355dY/mma.4928
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Blowup of solutions for the initial boundary value problem of the 3‐dimensional compressible damped Euler equations
doi:10.1002/mma.4928
Mathematical Methods in the Applied Sciences
2018-04-15T06:08:32Z
Mathematical Methods in the Applied Sciences
2018-04-15T06:08:32Z
2018-04-15T06:08:32Z
10.1002/mma.4928
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4928?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4928?af=R
Higher spin generalisation of Fueter's theorem
In this paper, we generalize Fueter's theorem to the higher spin setting. To do so, we consider an alternative proof for the celebrated theorem that uses the Fischer decomposition. This decomposition is then extended to spaces of polynomials that depend on wedge variables, after which we can finish the proof of our higher spin Fueter theorem.
DavidEelbode
,
TimJanssens
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/1Cyvurm_EN8/mma.4937
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Higher spin generalisation of Fueter's theorem
doi:10.1002/mma.4937
Mathematical Methods in the Applied Sciences
2018-04-15T06:12:49Z
Mathematical Methods in the Applied Sciences
2018-04-15T06:12:49Z
2018-04-15T06:12:49Z
10.1002/mma.4937
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4937?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4937?af=R
Numerical analysis of a water wave model with a nonlocal viscous dispersive term using the diffusive approach
In this paper, we numerically study the water wave model with a nonlocal viscous term
where
is the Riemann‐Liouville half‐order derivative in time. We propose and compare different numerical schemes based on the diffusive realizations of fractional operators.
S.Dumont
,
I.Manoubi
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/YSP0chlUYNw/mma.4932
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Numerical analysis of a water wave model with a nonlocal viscous dispersive term using the diffusive approach
doi:10.1002/mma.4932
Mathematical Methods in the Applied Sciences
2018-04-15T06:16:34Z
Mathematical Methods in the Applied Sciences
2018-04-15T06:16:34Z
2018-04-15T06:16:34Z
10.1002/mma.4932
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4932?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4932?af=R
Linearized stability and instability of nonconstant periodic solutions of Lagrangian equations
This paper is motivated by the stability problem of nonconstant periodic solutions of time‐periodic Lagrangian equations, like the swing and the elliptic Sitnikov problem. As a beginning step, we will study the linearized stability and instability of nonconstant periodic solutions that are bifurcated from those of autonomous Lagrangian equations. Applying the theory for Hill equations, we will establish a criterion for linearized stability. The criterion shows that the linearized stability depends on the temporal frequencies of the perturbed systems in a delicate way.
MeirongZhang
,
XiuliCen
,
XuhuaCheng
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/fvjGtbbTnCY/mma.4935
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Linearized stability and instability of nonconstant periodic solutions of Lagrangian equations
doi:10.1002/mma.4935
Mathematical Methods in the Applied Sciences
2018-04-15T06:16:49Z
Mathematical Methods in the Applied Sciences
2018-04-15T06:16:49Z
2018-04-15T06:16:49Z
10.1002/mma.4935
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4935?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4935?af=R
Asymptotic behavior of the solution of singularly perturbed transmission problems in a periodic domain
Summary
This paper is devoted to the study of the asymptotic behavior of the solutions of singularly perturbed transmission problems in a periodically perforated domain. The domain is obtained by making in
a periodic set of holes, each of them of size proportional to a positive parameter ε. We first consider an ideal transmission problem and investigate the behavior of the solution as ε tends to 0. In particular, we deduce a representation formula in terms of real analytic maps of ε and of some additional parameters. Then we apply such result to a nonideal nonlinear transmission problem.
RomanPukhtaievych
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/_1agMmzLmkg/mma.4832
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Asymptotic behavior of the solution of singularly perturbed transmission problems in a periodic domain
doi:10.1002/mma.4832
Mathematical Methods in the Applied Sciences
2018-04-15T06:23:15Z
Mathematical Methods in the Applied Sciences
2018-04-15T06:23:15Z
2018-04-15T06:23:15Z
10.1002/mma.4832
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4832?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4832?af=R
Effect of negligence and length of time delay in spontaneous behavioural changes for the response to epidemics
It is understood that public health education and informal communications can impact on perceptions of disease threat, which could result in influencing behaviour of individuals to take any possible self‐protective measures. On the other hand, the information about the actual status of the disease dynamics, on which the public health education is based, can be known only after its data are collected and processed. This may take a significant amount of time, and therefore, there is a time gap between what the public knows about the prevalence of the disease and the actual distribution of the disease in the population. Furthermore, there is a memory decay and negligence from the side of the population in applying protective mechanisms as the disease becomes endemic. In this paper, a mathematical model for human disease epidemics that takes a change in human behaviour and effect of negligence into account is formulated and analysed. The model investigates the effect of negligence (from the side of the population) and time lag (in disclosing the actual prevalence of the disease) in the dynamics and control of the disease. The numerical results show that the length of the delay has a significant impact on the control strategy rather than on the dynamics without control. In addition, announcing the prevalence value once every time it is updated and keeping that value constant has the same effect on the dynamics as compared with updating the same continuously. Moreover, it is also shown that the negligence parameter significantly affects the overall prevalence of the disease.
Semu MitikuKassa
,
Yetwale HailuWorkineh
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/qmMyF9YRBjI/mma.4926
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Effect of negligence and length of time delay in spontaneous behavioural changes for the response to epidemics
doi:10.1002/mma.4926
Mathematical Methods in the Applied Sciences
2018-04-16T03:18:29Z
Mathematical Methods in the Applied Sciences
2018-04-16T03:18:29Z
2018-04-16T03:18:29Z
10.1002/mma.4926
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4926?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4926?af=R
A 3D individual‐based model to investigate the spatially heterogeneous response of bacterial biofilms to antimicrobial agents
The response of bacterial biofilms to treatment with antimicrobial agents is often characterized by the emergence of recalcitrant cellular microcolonies. We present an individual‐based model to investigate the biophysical mechanisms of the selective resistance that arises within the biofilm and leads to a spatially heterogeneous response upon treatment with antibiotics. The response occurs in 3 distinct phases. In the first phase, the subpopulation of metabolically active cells diminishes due to antibiotic‐induced cell death. Subsequently, in the second phase, increased nutrient availability allows dormant cells in the lower layers of the biofilm to transform into metabolically active cells. In the third phase, survival of the biofilm is governed by the interplay between 2 contrasting factors: (1) rate of antibiotic‐induced cell death and (2) rate of transformation of dormant cells into active ones. Metabolically active cells at the distal edge of the biofilm sacrifice themselves to protect the dormant cells in the interior by (1) reducing local antibiotic concentrations and (2) increasing nutrient availability. In the presence of quorum sensing, biofilms exhibit increased tolerance compared with the quorum sensing–negative strains. Extracellular polymeric substance (EPS) forms a protective layer at the top of the biofilm, thereby limiting antibiotic penetration. The surviving cells, in turn, produce EPS resulting in a feedback‐like mechanism of resistance. Whereas resistance in QS− biofilms occurs because of transformation of dormant cells into metabolically active cells, this transformation is less pronounced in QS+ biofilms, and resistance is a consequence of the sequestration of the antibiotic by EPS.
LakshmiMachineni
,
Ch. TejeshReddy
,
VandanaNandamuri
,
Parag D.Pawar
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/xiRB0q7xSG4/mma.4900
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
A 3D individual‐based model to investigate the spatially heterogeneous response of bacterial biofilms to antimicrobial agents
doi:10.1002/mma.4900
Mathematical Methods in the Applied Sciences
2018-04-16T03:20:05Z
Mathematical Methods in the Applied Sciences
2018-04-16T03:20:05Z
2018-04-16T03:20:05Z
10.1002/mma.4900
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4900?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4900?af=R
Finite‐time stability of a class of oscillating systems with two delays
In this paper, we study finite‐time stability of an oscillating system with 2 delays. To derive a bounded of state vector, we use a representation of explicit solution involving 2‐delayed matrix polynomial of 2 indices after deriving some fundamental estimates for such delayed matrix polynomial of 2 indices. A sufficient condition is given. Finally, an example is given to demonstrate the application of the main result.
XiaokaiCao
,
JinRongWang
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/ejQfCnOFhoI/mma.4943
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Finite‐time stability of a class of oscillating systems with two delays
doi:10.1002/mma.4943
Mathematical Methods in the Applied Sciences
2018-04-16T03:21:05Z
Mathematical Methods in the Applied Sciences
2018-04-16T03:21:05Z
2018-04-16T03:21:05Z
10.1002/mma.4943
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4943?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4943?af=R
Positive homoclinic solutions of n‐th order difference equations with sign‐changing Green's function
In this paper we, consider an n‐th order nonlinear difference equation with parameter dependence. An exhaustive study of the related Green's function is done. The exact expression of the function is given. The range of parameter for which either it has constant sign or it changes sign is obtained. Some existence results for the nonlinear problem are deduced by using the classical Krasnosel'skii's fixed point theorem on cones and fixed point index theory.
AlbertoCabada
,
Nikolay D.Dimitrov
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/rcMXSXgX3Is/mma.4929
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Positive homoclinic solutions of n‐th order difference equations with sign‐changing Green's function
doi:10.1002/mma.4929
Mathematical Methods in the Applied Sciences
2018-04-16T03:22:40Z
Mathematical Methods in the Applied Sciences
2018-04-16T03:22:40Z
2018-04-16T03:22:40Z
10.1002/mma.4929
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4929?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4929?af=R
Asymptotic behavior of higher‐order Navier‐Stokes‐Cahn‐Hilliard systems
Our aim in this paper is to study the asymptotic behavior, in terms of finite‐dimensional attractors, for higher‐order Navier‐Stokes‐Cahn‐Hilliard systems. Such equations describe the evolution of a mixture of 2 immiscible incompressible fluids. We also give several numerical simulations.
LaurenceCherfils
,
StefaniaGatti
,
AlainMiranville
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/WFRw26nNDqQ/mma.4930
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Asymptotic behavior of higher‐order Navier‐Stokes‐Cahn‐Hilliard systems
doi:10.1002/mma.4930
Mathematical Methods in the Applied Sciences
2018-04-16T03:24:45Z
Mathematical Methods in the Applied Sciences
2018-04-16T03:24:45Z
2018-04-16T03:24:45Z
10.1002/mma.4930
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4930?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4930?af=R
Boundedness in a four‐dimensional attraction‐repulsion chemotaxis system with logistic source
In this paper, we study the attraction‐repulsion chemotaxis system with logistic source: ut = Δu−χ∇·(u∇v)+ξ∇·(u∇w)+f(u), 0 = Δv−βv+αu, 0 = Δw−δw+γu, subject to homogeneous Neumann boundary conditions in a bounded and smooth domain
, where χ,α,ξ,γ,β, and δ are positive constants, and
is a smooth function satisfying f(s) ≤ a−bs3/2 for all s ≥ 0 with a ≥ 0 and b > 0. It is proved that when the repulsion cancels the attraction (ie, ξγ=χα), for any nonnegative initial data
, the solution is globally bounded. This result corresponds to the one in the classical 2‐dimensional Keller‐Segel model with logistic source bearing quadric growth restrictions.
YanLi
,
WeiWang
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/mJUr0kpIBc0/mma.4942
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Boundedness in a four‐dimensional attraction‐repulsion chemotaxis system with logistic source
doi:10.1002/mma.4942
Mathematical Methods in the Applied Sciences
2018-04-17T03:27:09Z
Mathematical Methods in the Applied Sciences
2018-04-17T03:27:09Z
2018-04-17T03:27:09Z
10.1002/mma.4942
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4942?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4942?af=R
An efficient nonpolynomial spline method for distributed order fractional subdiffusion equations
In this paper, we propose an efficient numerical method for a distributed order fractional subdiffusion problem using nonpolynomial spline approach. The solvability, stability, and convergence of the scheme are established rigorously, and it is shown that the spatial convergence order improves some previous work done. Simulation is then conducted to verify the accuracy of the proposed scheme as well as to compare with earlier work.
XuhaoLi
,
Patricia J. Y.Wong
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/Dl1a0CfTQ6w/mma.4938
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
An efficient nonpolynomial spline method for distributed order fractional subdiffusion equations
doi:10.1002/mma.4938
Mathematical Methods in the Applied Sciences
2018-04-17T03:29:14Z
Mathematical Methods in the Applied Sciences
2018-04-17T03:29:14Z
2018-04-17T03:29:14Z
10.1002/mma.4938
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4938?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4938?af=R
Coordinated search for a lost target on one of 2 intersecting lines
This paper addresses the coordinated search problem, where a hidden target is randomly located and static on one of 2 intersecting lines. Two searchers start the search for the lost target from the intersection point of the 2 lines, and each searcher aims to detect the target on his line. We study the problem of minimizing the expected time for the return of one of the searchers to the intersection point after the other searcher meets the target. We find the necessary conditions for the optimal search strategy.
Hamdy M.Abou‐Gabal
,
H.Bakouch
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/FzPWF1BAwxM/mma.4916
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Coordinated search for a lost target on one of 2 intersecting lines
doi:10.1002/mma.4916
Mathematical Methods in the Applied Sciences
2018-04-17T03:29:46Z
Mathematical Methods in the Applied Sciences
2018-04-17T03:29:46Z
2018-04-17T03:29:46Z
10.1002/mma.4916
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4916?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4916?af=R
Dynamics of a continuous Hénon model
We study a continuous Hénon system obtained by considering the discrete original model in continuous time. While the dynamics of the continuous model is trivial, we are able to recover the complexity of the discrete model by the introduction of time delays. In particular, high period limit cycles and chaotic attractors are observed. We illustrate the results with some numerical simulations.
TomásCaraballo
,
RenatoColucci
,
LucaGuerrini
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/_lBKURPiu-E/mma.4878
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Dynamics of a continuous Hénon model
doi:10.1002/mma.4878
Mathematical Methods in the Applied Sciences
2018-04-17T03:31:23Z
Mathematical Methods in the Applied Sciences
2018-04-17T03:31:23Z
2018-04-17T03:31:23Z
10.1002/mma.4878
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4878?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4878?af=R
Supercritical Neimark‐Sacker bifurcation of a discrete‐time Nicholson‐Bailey model
We study the local dynamics and supercritical Neimark‐Sacker bifurcation of a discrete‐time Nicholson‐Bailey host‐parasitoid model in the interior of
. It is proved that if α>1, then the model has a unique positive equilibrium point
, which is locally asymptotically focus, unstable focus and nonhyperbolic under certain parametric condition. Furthermore, it is proved that the model undergoes a supercritical Neimark‐Sacker bifurcation in a small neighborhood of the unique positive equilibrium point
, and meanwhile, the stable closed curve appears. From the viewpoint of biology, the stable closed curve corresponds to the period or quasiperiodic oscillations between host and parasitoid populations. Some numerical simulations are presented to verify theoretical results.
A. Q.Khan
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/QFGiIWy9SnY/mma.4934
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Supercritical Neimark‐Sacker bifurcation of a discrete‐time Nicholson‐Bailey model
doi:10.1002/mma.4934
Mathematical Methods in the Applied Sciences
2018-04-17T03:29:53Z
Mathematical Methods in the Applied Sciences
2018-04-17T03:29:53Z
2018-04-17T03:29:53Z
10.1002/mma.4934
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4934?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4934?af=R
Energy decay result in a Timoshenko‐type system of thermoelasticity of type III with weak damping
We investigate in this paper a thermoelastic system where the oscillations are defined by the Timoshenko model and the heat conduction is given by Green and Naghdi theories. We introduce 2 new stability numbers κ1 , κ2, and we prove a general decay result, from which the exponential and polynomial decays are only special cases.
KarimaGhennam
,
AbdelhakDjebabla
,
R.Rodriguez
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/AWCc8I9phxI/mma.4873
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Energy decay result in a Timoshenko‐type system of thermoelasticity of type III with weak damping
doi:10.1002/mma.4873
Mathematical Methods in the Applied Sciences
2018-04-17T03:30:42Z
Mathematical Methods in the Applied Sciences
2018-04-17T03:30:42Z
2018-04-17T03:30:42Z
10.1002/mma.4873
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4873?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4873?af=R
Modeling oil palm pollinator dynamics using deterministic and agent‐based approaches. Applications on fruit set estimates. Some preliminary results
Oil palm production is of economical importance in several southern countries. The increasing demand of oil palm put a lot of pressure in several places where the rain forest and thus the tropical diversity are in danger due to deforestation. With the land already cultivated, we need to improve the yields, which means to increase the production of fruits in plots. One way is to increase the pollination or the fruit set through pollination. Palm tree has a specific entomophilous pollinator, a weevil, Elaeidobius spp, that absolutely needs male inflorescence to complete its life cycle. In young plots (3‐7 years old), mainly female inflorescences are produced, and thus, the pollinator population cannot maintain, resulting in a bad fruit set, and, thus, a bad production. That is why several questions arise: What is the mean number of male inflorescences (per hectare) needed to maintain the pollinators population above a certain threshold? And, in terms of yield, what is the optimal size of the population to reach an optimal fruit set? We propose, compare and discuss 2 different modeling approaches to develop preliminary models to study the dynamics of the pollinator population, and obtain some rough estimates of the fruit set. We derive some simulations and discuss these preliminary results.
Y.Dumont
,
J.‐C.Soulie
,
F.Michel
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/cemBuUGp8AU/mma.4858
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Modeling oil palm pollinator dynamics using deterministic and agent‐based approaches. Applications on fruit set estimates. Some preliminary results
doi:10.1002/mma.4858
Mathematical Methods in the Applied Sciences
2018-04-17T03:32:19Z
Mathematical Methods in the Applied Sciences
2018-04-17T03:32:19Z
2018-04-17T03:32:19Z
10.1002/mma.4858
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4858?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4858?af=R
Collocation‐variation difference schemes for differential‐algebraic equations
We consider the initial value problem in linear differential‐algebraic equations and highlight the difficulties of the construction of numerical methods for these problems. We propose one‐step difference schemes based on the collocation‐variational approach and show the principal difference between these algorithms and the known difference schemes. The analysis of the particular cases of such schemes are given.
Mikhail V.Bulatov
,
Liubov S.Solovarova
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/-KIsQGrhBgQ/mma.4884
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Collocation‐variation difference schemes for differential‐algebraic equations
doi:10.1002/mma.4884
Mathematical Methods in the Applied Sciences
2018-04-20T08:13:15Z
Mathematical Methods in the Applied Sciences
2018-04-20T08:13:15Z
2018-04-20T08:13:15Z
10.1002/mma.4884
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4884?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4884?af=R
Optimal feedback control problems driven by fractional evolution hemivariational inequalities
This article investigates optimal feedback controls of a system driven by fractional evolution hemivariational inequalities. An existence result with respect to feasible pairs is obtained by applying the Cesari property and a fixed‐point theorem for multivalued maps. Under some suitable assumptions, it is proved that there exists at least 1 optimal feedback control pair of the Lagrange problem. An illustrating example is given.
YirongJiang
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/rUgi5K_CfJ8/mma.4894
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Optimal feedback control problems driven by fractional evolution hemivariational inequalities
doi:10.1002/mma.4894
Mathematical Methods in the Applied Sciences
2018-04-20T08:14:43Z
Mathematical Methods in the Applied Sciences
2018-04-20T08:14:43Z
2018-04-20T08:14:43Z
10.1002/mma.4894
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4894?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4894?af=R
Numerical solution of an optimal control problem for Oskolkov's system
We construct a numerical solution of an optimal control problem for Oskolkov's equations system. The system models the dynamics of Kelvin‐Voigt viscoelastic fluid. Solutions of the original boundary problem and of the conjugate problem are found numerically by means of the difference schemes method. We apply the approach of the research of evolution systems that are not solvable with respect to the time derivative. The optimization is performed using the conditional gradient method. We present the numerical experiment.
Marina V.Plekhanova
,
Gusel D.Baybulatova
,
Pavel N.Davydov
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/pTHECYyaAW0/mma.4904
]]>
Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Numerical solution of an optimal control problem for Oskolkov's system
doi:10.1002/mma.4904
Mathematical Methods in the Applied Sciences
2018-04-20T08:14:48Z
Mathematical Methods in the Applied Sciences
2018-04-20T08:14:48Z
2018-04-20T08:14:48Z
10.1002/mma.4904
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4904?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4904?af=R
Existence of BPS vortices in string theory
In this paper, we establish an existence theorem for the BPS vortex equations, which arise in the effective theory of a brane‐antibrane system in string theory. Our main strategy is as follows: First, the problem is reduced in a nonlinear elliptic equation over
, and for which a subsolution and supersolution pair is obtained by weighted Sobolev space techniques and a variational argument, then the existence of a bounded solution is proved by a monotone iteration method. Moreover, the asymptotic behavior of the solution is analyzed, and the solution for original BPS equations can be recovered.
XiaoChen
,
ShuWang
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/CKofpf3daUk/mma.4887
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Existence of BPS vortices in string theory
doi:10.1002/mma.4887
Mathematical Methods in the Applied Sciences
2018-04-20T08:15:33Z
Mathematical Methods in the Applied Sciences
2018-04-20T08:15:33Z
2018-04-20T08:15:33Z
10.1002/mma.4887
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4887?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4887?af=R
Invariant characterization of scalar third‐order ODEs that admit the maximal point symmetry Lie algebra
The Cartan equivalence method is used to deduce an invariant characterization of the scalar third‐order ordinary differential equation
, which admits the maximal 7‐dimensional point symmetry Lie algebra. The method provides auxiliary functions that can be used to efficiently obtain the point transformation that does the reduction to the simplest linear equation
. Moreover, examples are given to illustrate the method.
Ahmad Y.Al‐Dweik
,
M. T.Mustafa
,
Fazal MahmoodMahomed
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/qL97s5e0TLc/mma.4923
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Invariant characterization of scalar third‐order ODEs that admit the maximal point symmetry Lie algebra
doi:10.1002/mma.4923
Mathematical Methods in the Applied Sciences
2018-04-20T09:23:55Z
Mathematical Methods in the Applied Sciences
2018-04-20T09:23:55Z
2018-04-20T09:23:55Z
10.1002/mma.4923
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4923?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4923?af=R
On the existence of an inertial manifold for a deconvolution model of the 2D mean Boussinesq equations
We show the existence of an inertial manifold (ie, a globally invariant, exponentially attracting, finite‐dimensional manifold) for the approximate deconvolution model of the 2D mean Boussinesq equations. This model is obtained by means of the Van Cittern approximate deconvolution operators, which is applied to the 2D filtered Boussinesq equations.
LucaBisconti
,
DavideCatania
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/amvF-LWfITk/mma.4939
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
On the existence of an inertial manifold for a deconvolution model of the 2D mean Boussinesq equations
doi:10.1002/mma.4939
Mathematical Methods in the Applied Sciences
2018-04-20T09:24:44Z
Mathematical Methods in the Applied Sciences
2018-04-20T09:24:44Z
2018-04-20T09:24:44Z
10.1002/mma.4939
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4939?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4939?af=R
Hyers‐Ulam‐Rassias stability of nonlinear integral equations through the Bielecki metric
We analyse different kinds of stabilities for classes of nonlinear integral equations of Fredholm and Volterra type. Sufficient conditions are obtained in order to guarantee Hyers‐Ulam‐Rassias, σ‐semi‐Hyers‐Ulam and Hyers‐Ulam stabilities for those integral equations. Finite and infinite intervals are considered as integration domains. Those sufficient conditions are obtained based on the use of fixed point arguments within the framework of the Bielecki metric and its generalizations. The results are illustrated by concrete examples.
L. P.Castro
,
A. M.Simões
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/Cxde3uM8_Rg/mma.4857
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Hyers‐Ulam‐Rassias stability of nonlinear integral equations through the Bielecki metric
doi:10.1002/mma.4857
Mathematical Methods in the Applied Sciences
2018-04-20T09:27:43Z
Mathematical Methods in the Applied Sciences
2018-04-20T09:27:43Z
2018-04-20T09:27:43Z
10.1002/mma.4857
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4857?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4857?af=R
Using network and functional enrichment clustering analyses to find therapeutic targets for breast cancer: The role of cyclin‐dependent kinase 2
Population aging is rapidly increasing in developing countries; thus, covering medical needs for breast cancer diagnosis and treatment is a priority in Latin America. We describe an approach for integrating differential expression analysis, biological pathway enrichment, in silico transcription‐binding sites and network topology, to find key genes that may be used as biomarkers or therapeutic targets. This approach is based on publicly available data from microarrays of the MCF‐7 breast cancer cell line treated with estrogen. We found significant estrogen‐responsive genes, which were used as nodes to construct networks based on protein‐protein interactions reported in the literature. Then, we conducted a topology analysis of the networks, revealing the most‐connected nodes, ie, those responsible for maintaining the network structure corresponding to genes with well‐acknowledged functions in G1/S cell cycle transition, such as cyclin‐dependent kinase 2 (CDK2), which has been proposed as a therapeutic target in classical biochemical studies. In addition, analyses of biological pathway enrichment and in silico transcription‐binding sites support the biological meaning and importance of these key genes and help to decide the best target genes. Therefore, we postulate that the integrative bioinformatics approach shown here, unlike the classical bioinformatics approach that only includes differentially expressed genes and enriched biological pathways, can be applied as an approach for finding novel biomarkers and/or therapeutic target genes for nonresponsive treatments.
LuisValenzuela
,
RodrigoAssar
http://feedproxy.google.com/~r/wileyonlinelibrary/mma/~3/CYqmDm81xf0/mma.4788
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Mathematical Methods in the Applied Sciences, EarlyView. <br/>
Using network and functional enrichment clustering analyses to find therapeutic targets for breast cancer: The role of cyclin‐dependent kinase 2
doi:10.1002/mma.4788
Mathematical Methods in the Applied Sciences
2018-02-12T08:00:00Z
Mathematical Methods in the Applied Sciences
2018-02-12T08:00:00Z
2018-02-12T08:00:00Z
10.1002/mma.4788
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4788?af=R
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4788?af=R