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Indexed by:期刊论文

Date of Publication:2007-06-01

Journal:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Included Journals:SCIE、Scopus

Volume:330

Issue:1

Page Number:259-275

ISSN No.:0022-247X

Key Words:epsilon-morse theory; critical groups; Hamiltonian systems; resonance; nontrivial solutions

Abstract:By computing the epsilon-critical groups at theta and infinity of the corresponding functional of Hamiltonian systems, we proved the existence of nontrivial periodic solutions for the systems which may be resonant at theta and infinity under some new conditions. Some results in the literature are extended and some new type of theorems are proved. The main tool is the epsilon-Morse theory developed by Kryszewski and Szulkin. (c) 2006 Elsevier Inc. All rights reserved.