New comparison results for impulsive integro-differential equations and applications

被引：133

作者：

Nieto, Juan J. ^{[1
]}

Rodriguez-Lopez, Rosana ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 328卷 / 02期

关键词：

maximum principle; impulsive integro-differential equation; periodic boundary value problem; upper and lower solution; monotone method;

D O I：

10.1016/j.jmaa.2006.06.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove some new maximum principles for ordinary integro-differential equations. This allows us to introduce a new definition of lower and upper solutions which leads to the development of the monotone iterative technique for a periodic boundary value problem related to a nonlinear first-order impulsive integro-differential equation. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1343 / 1368

页数：26

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