Existence and Multiplicity of Periodic Solutions Generated by Impulses

被引：3

作者：

Yang, Liu ^{[1
,2
]}

Chen, Haibo ^{[1
]}

机构：

[1] Cent S Univ, Dept Math, Changsha 421008, Hunan, Peoples R China

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

来源：

ABSTRACT AND APPLIED ANALYSIS | 2011年

关键词：

BOUNDARY-VALUE PROBLEM; DIFFERENTIAL-EQUATIONS; HAMILTONIAN-SYSTEMS; CONTROLLABILITY; THEOREM;

D O I：

10.1155/2011/310957

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 literature are generalized and significantly improved.

引用

页码：1 / 15

页数：15

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