Periodic solutions for second order Hamiltonian systems with a change sign potential

被引：22

作者：

Tang, CL ^{[1
]}

Wu, XP ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 292卷 / 02期

基金：

中国国家自然科学基金;

关键词：

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

D O I：

10.1016/j.jmaa.2003.12.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An existence theorem is obtained for periodic solutions of nonautonomous second order Hamiltonian systems with a change sign potential by the minimax methods in critical point theory. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：506 / 516

页数：11

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