On the existence of solutions for nonlinear first-order implicit impulsive integro-differential equations

被引：2

作者：

Lan, Heng-You ^{[1
]}

Cui, Yi-shun ^{[2
]}

机构：

[1] Sichuan Univ Sci & Engn, Dept Math, Zigong 643000, Sichuan, Peoples R China

[2] Sichuan Univ Sci & Engn, Mat & Chem Engn Dept, Zigong 643000, Sichuan, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 5-6期

基金：

中国国家自然科学基金;

关键词：

Nonlinear first-order implicit impulsive integro-differential equation; Initial value problem; Fixed point; Measure of noncompactness; Existence; BOUNDARY-VALUE-PROBLEMS; DELAYED EPIDEMIC MODEL; INITIAL-VALUE PROBLEMS; BELLMAN-BIHARI TYPE; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; INTEGRAL-INEQUALITIES; GLOBAL ATTRACTIVITY; PULSE VACCINATION; MIXED-TYPE;

D O I：

10.1016/j.na.2009.01.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the Monch fixed-point theorem, the purpose of this paper is to obtain the new existence theorems of solutions for a new class of initial value problems of nonlinear first-order implicit impulsive integro-differential equations in Banach spaces under some weaker conditions. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1670 / 1677

页数：8

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