Periodic solutions for some nonautonomous second order Hamiltonian systems

被引：27

作者：

Ye, Yi-Wei ^{[1
]}

Tang, Chun-Lei ^{[1
,2
]}

机构：

[1] Southwest Univ, Dept Math, Chongqing 400715, Peoples R China

[2] Chinese Univ Hong Kong, Inst Math Sci, Hong Kong, Hong Kong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 344卷 / 01期

基金：

中国国家自然科学基金;

关键词：

periodic solution; second order Hamiltonian system; saddle point theorem; generalized mountain pass theorem; (PS) condition; Sobolev's inequality; Wirtinger's inequality;

D O I：

10.1016/j.jmaa.2008.03.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence and multiplicity of periodic solutions are obtained for nonautonomous second order Hamiltonian systems by the minimax methods in critical point theory. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：462 / 471

页数：10

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