Results 11 to 20 of about 768,044 (272)
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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Solitons, peakons, and periodic cuspons of a generalized Degasperis-Procesi equation [PDF]
, 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
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Periodic Solutions and S-Asymptotically Periodic Solutions to Fractional Evolution Equations
Discrete 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
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Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation
Journal 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
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Advances 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
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Periodic Peakon and Smooth Periodic Solutions for KP-MEW(3,2) Equation
Advances 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
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Large amplitude and multiple stable periodic oscillations in treatment-donation-stockpile dynamics
Electronic 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
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Complexity, 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
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From Instantons to Sphalerons: Time-Dependent Periodic Solutions of SU(2)-Higgs Theory [PDF]
, 1999 We solve numerically for periodic, spherically symmetric, classical solutions of SU(2)-Higgs theory in four-dimensional Euclidean space. In the limit of short periods the solutions approach tiny instanton-anti-instanton superpositions while, for longer ...
A. Kuznetsov +13 more
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Periodic segment implies infinitely many periodic solutions [PDF]
Proceedings 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
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