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论文类型：期刊论文

发表时间：2011-10-01

发表刊物：NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

收录刊物：Scopus、SCIE、EI

卷号：12

期号：5

页面范围：2742-2751

ISSN号：1468-1218

关键字：Second-order Hamiltonian systems; Homoclinic solutions; Mountain pass theorem; Generalized linking theorem

摘要：In this paper, we study the existence of homoclinic solutions for the second-order Hamiltonian system u - L(t)u + W-u(t, u) = 0, where L(t) and W(t, u) are supposed to be periodic in t. Under certain assumptions on L and W, we obtain two new existence results by using the variant mountain pass theorem and generalized linking theorem. (C) 2011 Elsevier Ltd. All rights reserved.