Existence and Multiplicity of Periodic Solutions Generated by Impulses

成果类型：

期刊论文

作者：

Yang, Liu;Chen, Haibo*

通讯作者：

Chen, Haibo

作者机构：

[Chen, Haibo; Yang, Liu] Cent S Univ, Dept Math, Changsha 421008, Hunan, Peoples R China.

[Yang, Liu] Hengyang Normal Univ, Dept Math & Comp Sci, Hengyang 421008, Hunan, Peoples R China.

通讯机构：

[Chen, Haibo] C

Cent S Univ, Dept Math, Changsha 421008, Hunan, Peoples R China.

语种：

英文

关键词：

We investigate the existence and multiplicity of periodic solutions for a class of second-order differential systems with impulses. By using variational methods and critical point theory;we obtain such a system possesses at least one nonzero;two nonzero;or infinitely many periodic solutions generated by impulses under different conditions;respectively. Recent results in the literature are generalized and significantly improved. Published: 2011 First available in Project Euclid: 12 August 2011 zbMATH: 1253.34046 MathSciNet: MR2800077 Digital Object Identifier: 10.1155/2011/310957

期刊：

Abstract and Applied Analysis

ISSN：

1085-3375

年：

2011

卷：

2011

页码：

1-15

DOI：

10.1155/2011/310957

基金类别：

Foundation for Youth Key Teacher by the Hengyang Normal University; NFSCNational Natural Science Foundation of China (NSFC) [10871206]

机构署名：

本校为其他机构

院系归属：

数学与统计学院

摘要：

We investigate the existence and multiplicity of periodic solutions for a class of second-order differential systems with impulses. By using variational methods and critical point theory, we obtain such a system possesses at least one nonzero, two nonzero, or infinitely many periodic solutions generated by impulses under different conditions, respectively. Recent results in the lite...

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