Periodic solutions of nonautonomous second-order Hamiltonian systems with even-typed potentials

被引：21

作者：

Wu, XP ^{[1
]}

Tang, CL ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 55卷 / 06期

关键词：

periodic solution; second-order Hamiltonian system; coercivity; Sobolev's inequality; critical point;

D O I：

10.1016/j.na.2003.08.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some existence and multiplicity theorems are obtained for periodic solutions of nonautonomous second-order Hamiltonian systems with even-typed potentials by the least action principle and the minimax methods in critical point theory. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：759 / 769

页数：11

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