Results 11 to 20 of about 766,070 (327)

Asymptotic Behavior of Solutions of a Periodic Diffusion Equation

open access: yesJournal 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
doaj   +2 more sources

Multiple periodic solutions of nonlinear second order differential equations

open access: yesAIMS Mathematics, 2023
In this paper, we are interested in the existence of multiple nontrivial $ T $-periodic solutions of the nonlinear second ordinary differential equation $ \ddot{x}+V_x(t, x) = 0 $ in $ N(\geq 1) $ dimensions.
Keqiang Li, Shangjiu Wang
doaj   +1 more source

Periodic Solutions and S-Asymptotically Periodic Solutions to Fractional Evolution Equations

open access: yesDiscrete Dynamics in Nature and Society, 2017
This paper deals with the existence and uniqueness of periodic solutions, S-asymptotically periodic solutions, and other types of bounded solutions for some fractional evolution equations with the Weyl-Liouville fractional derivative defined for periodic
Jia Mu, Yong Zhou, Li Peng
doaj   +1 more source

On almost periodicity of solutions of second-order differential equations involving reflection of the argument

open access: yesAdvances in Difference Equations, 2019
We study almost periodic solutions for a class of nonlinear second-order differential equations involving reflection of the argument. We establish existence results of almost periodic solutions as critical points by a variational approach.
Peiguang Wang   +4 more
doaj   +1 more source

Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation

open access: yesJournal of Applied Mathematics, 2012
We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the generalized KP-BBM equation. A number of explicit periodic wave solutions are obtained.
Ming Song, Zhengrong Liu
doaj   +1 more source

Exact solitary and periodic wave solutions of high-order nonlinear Schrödinger equation and their relationship with Hamilton energy

open access: yesAIP Advances, 2021
In this paper, we study the exact solitary wave solutions, periodic wave solutions, and bounded rational function solution of the high-order nonlinear Schrödinger equation and the evolutional relationships between the solitary and periodic wave solutions
Weiguo Zhang   +3 more
doaj   +1 more source

Dynamics of a three-molecule autocatalytic Schnakenberg model with cross-diffusion: Turing patterns of spatially homogeneous Hopf bifurcating periodic solutions

open access: yesElectronic Research Archive, 2023
In this paper, a three-molecule autocatalytic Schnakenberg model with cross-diffusion is established, the instability of bifurcating periodic solutions caused by diffusion is studied, that is, diffusion can destabilize the stable periodic solutions of ...
Weiyu Li , Hongyan Wang
doaj   +1 more source

Large amplitude and multiple stable periodic oscillations in treatment-donation-stockpile dynamics

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
A transmission-treatment-donation-stockpile model was originally formulated for the 2014-2015 West Africa Ebola outbreak in order to inform policy complication of large scale use and collection of convalescent blood as an empiric treatment.
Xiaodan Sun   +3 more
doaj   +1 more source

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