Subharmonic solutions with prescribed minimal period for some second-order impulsive differential equations

被引：10

作者：

Luo, Zhiguo ^{[1
]}

Xiao, Jing ^{[1
]}

Xu, Yanli ^{[2
]}

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

[2] Xiangnan Coll, Dept Math, Chenzhou 423000, Hunan, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 04期

关键词：

Impulsive differential equations; Critical point theory; Variational methods; Minimal period; Subharmonic solutions; BOUNDARY-VALUE PROBLEM; HAMILTONIAN-SYSTEMS;

D O I：

10.1016/j.na.2011.10.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper uses critical point theory and variational methods to investigate the subharmonic solutions with prescribed minimal period for a class of second-order impulsive differential equations. The conditions for the existence of subharmonic solutions are established. Our results rectify some known results in the literature and will allow us, in the future, to deal with the subharmonic solutions for more extensive impulsive problems. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2249 / 2255

页数：7

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