Results 11 to 20 of about 773,939 (324)

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

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.
Sun Jiebao, Wu Boying, Zhang Dazhi
doaj   +2 more sources

Maximal regularity of the time-periodic Navier-Stokes system [PDF]

open access: yes, 2013
Time-periodic solutions to the linearized Navier-Stokes system in the $n$-dimensional whole-space are investigated. For time-periodic data in $L^q$-spaces, maximal regularity and corresponding a priori estimates for the associated time-periodic solutions
Kyed, Mads
core   +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

New Periodic and Localized Traveling Wave Solutions to a Kawahara-Type Equation: Applications to Plasma Physics

open access: yesComplexity, 2022
In this study, some new hypotheses and techniques are presented to obtain some new analytical solutions (localized and periodic solutions) to the generalized Kawahara equation (gKE).
Haifa A. Alyousef   +3 more
doaj   +1 more source

Solitons, peakons, and periodic cuspons of a generalized Degasperis-Procesi equation [PDF]

open access: yes, 2009
We employ the bifurcation theory of planar dynamical systems to investigate the exact travelling wave solutions of a generalized Degasperis-Procesi equation. The implicit expression of smooth soliton solutions is given. The explicit expressions of peaked
Tian, Lixin, Zhou, Jiangbo
core   +3 more sources

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