Non-autonomous second order Hamiltonian systems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:257

Article

Pipan, John¹  Schechter, Martin¹ 

[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

关键词: Critical points;    Linking;    Dynamical systems;    Periodic solutions;   

DOI  :  10.1016/j.jde.2014.03.016

来源: Elsevier

【 摘 要 】

We study the existence of periodic solutions for a second order non-autonomous dynamical system containing variable kinetic energy terms. Our assumptions balance the interaction between the kinetic energy and the potential energy with neither one dominating the other. We study sublinear problems and the existence of non-constant solutions. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free