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Indexed by:期刊论文

Date of Publication:2011-03-15

Journal:APPLIED MATHEMATICS AND COMPUTATION

Included Journals:Scopus、SCIE、EI

Volume:217

Issue:14

Page Number:6516-6525

ISSN No.:0096-3003

Key Words:Boundary value problems; Periodic solutions; Variational methods; Eigenvalues

Abstract:By introducing a variational framework for a class of second order nonlinear differential equations with non-separated periodic boundary value conditions, some results on the existence of non-trivial, positive and negative solutions of the problems are obtained. Some results by Atici-Guseinov, Graef-Kong, etc. obtained by topological degree methods are extended. The resonant case of the problems where the nonlinearities are unbounded and satisfy Ahmad-Lazer-Paul type conditions is also considered. (C) 2011 Elsevier Inc. All rights reserved.