✦ LIBER ✦

Periodic Solutions of Classical Hamiltonian Systems without Palais–Smale Condition

✍ Scribed by Guihua Fei; Soon-Kyu Kim; Tixiang Wang

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 113 KB
Volume: 267
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7802

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✦ Synopsis

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 .