Some periodic and solitary travelling-wave solutions of the short pulse equation [PDF]
, 2008 Exact periodic and solitary travelling-wave solutions of the short pulse equation are ...
Parkes, E.J.
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Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch) [PDF]
, 2010 An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact
Cao, J. +4 more
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Multiplicity of periodic solutions in bistable equations [PDF]
, 2006 We study the number of periodic solutions in two first-order non-autonomous differential equations, both of which have been used to describe, among other things, the mean magnetization of an Ising magnet in a time-varying external magnetic field.
Grinfeld, Michael, Berkolaiko, Gregory
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Eventually periodic solutions of single neuron model
Nonlinear Analysis, 2020 In this paper, we consider a nonautonomous piecewise linear difference equation that describes a discrete version of a single neuron model with a periodic (period two and period three) internal decay rate.
Inese Bula, Michael A. Radin
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Periodic solutions to a class of distributed delay differential equations via variational methods
Advances in Nonlinear Analysis, 2023 In this article, we study the existence of periodic solutions to a class of distributed delay differential equations. We transform the search for periodic solutions with the special symmetry of a delay differential equation to the problem of finding ...
Xiao Huafeng, Guo Zhiming
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Global Classical Solutions of Three Dimensional Viscous MHD System Without Magnetic Diffusion on Periodic Boxes [PDF]
, 2017 In this paper, we study the global existence of classical solutions to the three dimensional incompressible viscous magneto-hydrodynamical system without magnetic diffusion on periodic boxes, that is, with periodic boundary conditions.
R. Pan, Yi Zhou, Yi Zhu
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Journal of Harbin University of Science and Technology, 2019 Almost periodic solutions of differential equations are more general than periodic solutions, so almost periodic solutions will be studied on a class secondorder differential equations with piecewise constant argument.
YAO Hui-li +2 more
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Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations [PDF]
Journal of Differential Equations, 2017 The paper is dedicated to studying the problem of Poisson stability (in particular stationarity, periodicity, quasi-periodicity, Bohr almost periodicity, Bohr almost automorphy, Birkhoff recurrence, almost recurrence in the sense of Bebutov, Levitan ...
D. Cheban, Zhen-Xin Liu
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Asymptotic Behavior of Solutions of a Periodic Diffusion Equation
Journal of Inequalities and Applications, 2010 We consider a degenerate parabolic equation with logistic periodic sources. First, we establish the existence of nontrivial nonnegative periodic solutions by monotonicity method. Then by using Moser iterative technique and the method of contradiction, we
Jiebao Sun, Boying Wu, Dazhi Zhang
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Quasi-periodic solutions for fully nonlinear forced reversible Schrödinger equations [PDF]
, 2014 In this paper we consider a class of fully nonlinear forced and reversible Schrodinger equations and prove existence and stability of quasi-periodic solutions.
R. Feola, M. Procesi
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