The Existence and Attractivity of Solutions of an Urysohn Integral Equation on an Unbounded Interval

被引：8

作者：

Darwish, Mohamed Abdalla ^{[1
]}

Banas, Jozef ^{[2
]}

Alzahrani, Ebraheem O. ^{[3
]}

机构：

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

[2] Rzeszow Univ Technol, Dept Math, PL-35959 Rzeszow, Poland

[3] King Abdulaziz Univ, Fac Sci, Math Depertment, Jeddah, Saudi Arabia

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

NONDECREASING SOLUTIONS;

D O I：

10.1155/2013/147409

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a result on the existence and uniform attractivity of solutions of an Urysohn integral equation. Our considerations are conducted in the Banach space consisting of real functions which are bounded and continuous on the nonnegative real half axis. The main tool used in investigations is the technique associated with the measures of noncompactness and a fixed point theorem of Darbo type. An example showing the utility of the obtained results is also included.

引用

页数：9

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