Hits:

Indexed by:期刊论文

Date of Publication:2011-10-01

Journal:NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Included Journals:Scopus、SCIE、EI

Volume:12

Issue:5

Page Number:2742-2751

ISSN No.:1468-1218

Key Words:Second-order Hamiltonian systems; Homoclinic solutions; Mountain pass theorem; Generalized linking theorem

Abstract: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.