The existence of periodic solutions of non-autonomous second-order Hamiltonian systems

被引：21

作者：

Aizmahin, Nurbek ^{[1
]}

An, Tianqing ^{[1
]}

机构：

[1] Hohai Univ, Dept Math, Nanjing 210098, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 14期

关键词：

Critical point; Periodic solution; The least action principle; Saddle point theorem;

D O I：

10.1016/j.na.2011.04.060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to study the existence of periodic solutions for a class of non-autonomous second-order Hamiltonian systems. Some new existence theorems are obtained by using the least action principle and the saddle point theorem. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：4862 / 4867

页数：6

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