Existence of periodic solutions to second-order Hamiltonian systems with potential indefinite in sign

被引：16

作者：

Xu, YT ^{[1
]}

Guo, ZM

机构：

[1] Zhongshan Univ, Dept Math, Guangzhou 510275, Peoples R China

[2] Hunan Univ, Dept Appl Math, Changsha 410082, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 51卷 / 07期

基金：

中国国家自然科学基金;

关键词：

periodic solutions; Hamiltonian systems; linking; critical points;

D O I：

10.1016/S0362-546X(01)00895-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of periodic solutions of second-order Hamiltonian systems with potential indefinite in sign was investigated. The problem was solved using some variational methods of a minimax kind. The problem was reduced to find the critical points of an appropriate functional defined in the Sobolev space. The Linking Theorems were then used to obtain the existence of critical points of the functional.

引用

页码：1273 / 1283

页数：11

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