Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2011-03-15

Journal: APPLIED MATHEMATICS AND COMPUTATION

Included Journals: EI、SCIE、Scopus

Volume: 217

Issue: 14

Page Number: 6516-6525

ISSN: 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.