Existence of positive solution for second-order nonlinear impulsive singular differential equations of mixed type in Banach spaces

被引：8

作者：

Zhang, Xingqiu ^{[1
]}

机构：

[1] Liaocheng Univ, Sch Math, Liaocheng 252059, Shandong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Impulsive singular integro-differential equation; Measure of noncompactness; Schauder fixed point theorem; Banach space; INITIAL-VALUE PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; GLOBAL-SOLUTIONS;

D O I：

10.1016/j.na.2008.02.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by constructing a closed convex set and using the fixed point theory of completely continuous operators, we investigate the existence of positive solutions for ail initial value problem of second-order nonlinear impulsive singular integro-differential equations in a Banach space. The method used in this paper is, different from that in the literature. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1620 / 1628

页数：9

共 9 条

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Zhang, Xinguang
Liu, Lishan
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