Periodic solutions of classical Hamiltonian systems without Palais-Smale condition

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:267

Article

Fei, GH ; Kim, SK ; Wang, TX

关键词: period solutions;    classical Hamiltonian systems;    Conley index;    Galerkin approximation;   

DOI  :  10.1006/jmaa.2001.7802

来源: Elsevier

【 摘 要 】

In this paper, we study the existence of periodic solutions for classical Hamiltonian systems without the Palais-Smale condition. We prove that the information of the potential function contained in a finite domain is sufficient for the existence of periodic solutions. Moreover, we establish the existence of infinitely many periodic solutions without any symmetric condition on the potential function V. (C) 2002 Elsevier Science (USA).

【 授权许可】

Free