Existence and multiplicity of periodic solutions for nonautonomous second order Hamiltonian systems

被引：6

作者：

Chen, Xingfan Y. ^{[1
]}

Guo, Fei ^{[1
]}

机构：

[1] Tianjin Univ, Sch Sci, Dept Math, Tianjin, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2016年

基金：

中国国家自然科学基金;

关键词：

existence; multiplicity; second order Hamiltonian systems; the least action principle; minimax methods;

D O I：

10.1186/s13661-016-0647-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the least action principle, the existence of periodic solutions for some nonautonomous second order Hamiltonian systems is obtained. Using minimax methods, the multiplicity of periodic solutions is obtained. Our results extend some previous results.

引用

页数：10

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