Positive solutions for nth-order nonlinear impulsive singular integro-differential equations on infinite intervals in Banach spaces

被引：8

作者：

Zhang, Haijun ^{[1
]}

Liu, Lishan ^{[1
,2
]}

Wu, Yonghong ^{[2
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[2] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 02期

基金：

澳大利亚研究理事会; 中国国家自然科学基金;

关键词：

Impulsive singular integro-differential equation; Cone and ordering; Positive solutions; Monch fixed point theorem; Measure of noncompactness;

D O I：

10.1016/j.na.2008.01.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the cone theory and Monch fixed point theorem combined with a monotone iterative technique are used to investigate the positive solutions of a class of boundary problems for nth-order nonlinear impulsive singular integro-differential equations of mixed type on an infinite interval in Banach spaces. The conditions for the existence of a positive solution are established. In addition, an explicit iterative approximation of the solution for the boundary value problem is derived. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：772 / 787

页数：16

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