Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2011-04-01

Journal: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Included Journals: EI、SCIE、Scopus

Volume: 74

Issue: 7

Page Number: 2635-2646

ISSN: 0362-546X

Key Words: Second-order Hamiltonian systems; Homoclinic solutions; Fountain theorem

Abstract: In this paper we study the existence of homoclinic solutions for second-order Hamiltonian systems with odd nonlinearities (u) double over dot - L(t)u + W-u(t, u) = 0, where L(t) and W(t, u) are not assumed to be periodic in t. We get, under certain assumptions on L and W, infinitely many homoclinic solutions for both subquadratic and superquadratic cases by using the fountain theorems in critical point theory. (C) 2010 Elsevier Ltd. All rights reserved.