New results for the periodic boundary value problem for impulsive integro-differential equations

被引：97

作者：

Luo, Zhiguo ^{[1
]}

Nieto, Juan J. ^{[2
]}

机构：

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

[2] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 06期

关键词：

Periodic boundary value problem; Impulsive integro-differential equations; Comparison principle; Monotone iterative technique; MONOTONE ITERATIVE TECHNIQUE; GLOBAL ATTRACTIVITY; PULSE VACCINATION; EPIDEMIC MODEL; 1ST-ORDER;

D O I：

10.1016/j.na.2008.03.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper discusses the periodic boundary value problem for first-order nonlinear impulsive integro-differential equations. We prove some new comparison principles, and then establish new existence results for extremal solutions by using these principles and the monotone iterative technique. These results improve and extend all known relevant conclusions from the literature. Some examples are also given to illustrate the advantage of our results. (C) 2009 Published by Elsevier Ltd

引用

页码：2248 / 2260

页数：13

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