EXISTENCE AND MULTIPLICITY OF PERIODIC SOLUTIONS GENERATED BY IMPULSES FOR SECOND-ORDER HAMILTONIAN SYSTEM

被引：0

作者：

Zhang, Dan ^{[1
]}

Wu, Qinghua ^{[1
]}

Dai, Binxiang ^{[2
]}

机构：

[1] Hunan Univ Sci & Engn, Dept Math, Inst Computat Math, Yongzhou 425100, Hunan, Peoples R China

[2] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

基金：

中国国家自然科学基金;

关键词：

Impulsive differential equations; critical point theory; periodic solution; variant fountain theorems; HOMOCLINIC SOLUTIONS; ORBITS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the existence of non-zero periodic solutions for Hamiltonian systems with impulsive conditions. By using a variational method and a variant fountain theorem, we obtain new criteria to guarantee that the system has at least one non-zero periodic solution or infinitely many non-zero periodic solutions. However, without impulses, there is no non-zero periodic solution for the system under our conditions.

引用

页数：12

共 19 条

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