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

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

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...

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Main Authors: Mohamed Abdalla Darwish, Józef Banaś, Ebraheem O. Alzahrani
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/147409
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spelling doaj-de8d62d92bea4f77bae9fc4ba4383a302020-11-24T22:57:48ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/147409147409The Existence and Attractivity of Solutions of an Urysohn Integral Equation on an Unbounded IntervalMohamed Abdalla Darwish0Józef Banaś1Ebraheem O. Alzahrani2Mathematics Department, Science Faculty for Girls, King Abdulaziz University, Jeddah, Saudi ArabiaDepartment of Mathematics, Rzeszów University of Technology, al. Powstańców Warszawy 8, 35-959 Rzeszów, PolandMathematics Depertment, Faculty of Science, King Abdulaziz University, Jeddah, Saudi ArabiaWe 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.http://dx.doi.org/10.1155/2013/147409
collection DOAJ
language English
format Article
sources DOAJ
author Mohamed Abdalla Darwish
Józef Banaś
Ebraheem O. Alzahrani
spellingShingle Mohamed Abdalla Darwish
Józef Banaś
Ebraheem O. Alzahrani
The Existence and Attractivity of Solutions of an Urysohn Integral Equation on an Unbounded Interval
Abstract and Applied Analysis
author_facet Mohamed Abdalla Darwish
Józef Banaś
Ebraheem O. Alzahrani
author_sort Mohamed Abdalla Darwish
title The Existence and Attractivity of Solutions of an Urysohn Integral Equation on an Unbounded Interval
title_short The Existence and Attractivity of Solutions of an Urysohn Integral Equation on an Unbounded Interval
title_full The Existence and Attractivity of Solutions of an Urysohn Integral Equation on an Unbounded Interval
title_fullStr The Existence and Attractivity of Solutions of an Urysohn Integral Equation on an Unbounded Interval
title_full_unstemmed The Existence and Attractivity of Solutions of an Urysohn Integral Equation on an Unbounded Interval
title_sort existence and attractivity of solutions of an urysohn integral equation on an unbounded interval
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description 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.
url http://dx.doi.org/10.1155/2013/147409
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