Integral boundary value problems for first order nonlinear impulsive functional integro-differential differential equations

被引：10

作者：

Han, Jiangfeng ^{[1
]}

Liu, Yiliang ^{[1
]}

Zhao, Jing ^{[1
]}

机构：

[1] Guangxi Univ Nationalities, Sch Math & Comp Sci, Nanning 530006, Guangxi, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 09期

关键词：

Integral boundary value problems; Monotone iterative technique; Extremal solutions; Quasi-solutions; EXISTENCE;

D O I：

10.1016/j.amc.2011.10.067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the existence of solutions for first order nonlinear impulsive functional integro-differential equations with integral boundary value conditions. We firstly build a new comparison theorem. Then by utilizing the monotone iterative technique and the method of lower and upper solutions, we obtain the existence of extremal solutions or quasi-solutions. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：5002 / 5009

页数：8

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