Periodic boundary value problems for second-order impulsive integro-differential equations

被引：17

作者：

Li, Jianli ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 198卷 / 01期

基金：

中国国家自然科学基金;

关键词：

impulsive equation; periodic boundary value problem; maximum principle; lower and upper solutions; monotone method;

D O I：

10.1016/j.amc.2007.08.079

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of second-order impulsive differential equations. By developing a new maximum principle and using the monotone iterative technique, uniqueness of solution between a lower and an upper solution is presented. We give conditions for existence of extremal solutions in an interval delimited by a lower and an upper solution. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：317 / 325

页数：9

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