On a perturbed functional integral equation of Urysohn type

被引：18

作者：

Darwish, Mohamed Abdalla ^{[1
,2
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Sci Fac Girls, Jeddah 21413, Saudi Arabia

[2] Damanhour Univ, Dept Math, Fac Sci, Damanhour 22511, Egypt

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 17期

关键词：

Functional integral equation; Existence; Monotonic solutions; Urysohn; Compact in measure; SUPERPOSITION OPERATOR; WEAK NONCOMPACTNESS;

D O I：

10.1016/j.amc.2012.02.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of monotonic solutions for a perturbed functional integral equation of Urysohn type in the space of Lebesgue integrable functions on an unbounded interval. The technique associated with measures of noncompactness (in both the weak and the strong sense) and the Darbo fixed point are the main tool to prove our main result. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：8800 / 8805

页数：6

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