Hits:

Indexed by:期刊论文

Date of Publication:2011-04-01

Journal:NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Included Journals:Scopus、SCIE、EI

Volume:74

Issue:7

Page Number:2635-2646

ISSN No.: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.