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论文类型：期刊论文

发表时间：2007-06-01

发表刊物：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录刊物：SCIE、Scopus

卷号：330

期号：1

页面范围：259-275

ISSN号：0022-247X

关键字：epsilon-morse theory; critical groups; Hamiltonian systems; resonance; nontrivial solutions

摘要：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.