New results for perturbed Hamiltonian systems with impulses

被引：18

作者：

Chen, Huiwen ^{[1
]}

He, Zhimin ^{[1
]}

机构：

[1] Cent S Univ, Dept Appl Math, Changsha 410083, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 18期

关键词：

Hamiltonian systems; Variational methods; Critical points; Impulses; CRITICAL-POINTS THEOREM; PERIODIC-SOLUTIONS; HOMOCLINIC ORBITS;

D O I：

10.1016/j.amc.2012.03.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of three solutions for second-order impulsive Hamiltonian systems. By using a variational method and some critical points theorems of B. Ricceri, we obtain some new criteria for guaranteeing that the impulsive Hamiltonian systems have three solutions. Some recent results are extended and improved. Some examples are presented to demonstrate the application of our main results. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：9489 / 9497

页数：9

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