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论文类型：期刊论文

发表时间：2011-03-15

发表刊物：APPLIED MATHEMATICS AND COMPUTATION

收录刊物：Scopus、SCIE、EI

卷号：217

期号：14

页面范围：6516-6525

ISSN号：0096-3003

关键字：Boundary value problems; Periodic solutions; Variational methods; Eigenvalues

摘要：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.