Results 11 to 20 of about 784,955 (324)

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

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

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 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

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

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

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 segment implies infinitely many periodic solutions [PDF]

open access: yesProceedings of the American Mathematical Society, 2007
The authors of this note show that given a periodic segment for a nonautonomous ODE with periodic coefficients (i.e. a local process) and given a sequence of associated Lefschetz numbers that is not constant, then there exist infinitely many periodic solutions in the segment. The proof is based on the Shub-Sullivan theorem, see \textit{M.
Marzantowicz, Waclaw, Wójcik, Klaudiusz
openaire   +3 more sources

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

Periodic Peakon and Smooth Periodic Solutions for KP-MEW(3,2) Equation

open access: yesAdvances in Mathematical Physics, 2021
In this paper, we consider the KP-MEW(3,2) equation by the bifurcation theory of dynamical systems when integral constant is considered. The corresponding traveling wave system is a singular planar dynamical system with one singular straight line.
Junning Cai, Minzhi Wei, Liping He
doaj   +1 more source

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