Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2011-10-01

Journal: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Included Journals: EI、SCIE、Scopus

Volume: 12

Issue: 5

Page Number: 2742-2751

ISSN: 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.