On the existence of solutions of functional integral equation of Urysohn type

被引：11
|
作者：
Ibrahim, Ibrahim Abouelfarag [1 ]
机构：
[1] Suez Canal Univ, Fac Sci, Dept Math, Ismailia, Egypt
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 57卷 / 10期
关键词：
Urysohn integral operator; Superposition operator; Measures of noncompactness; Compactness in measure; Darbo fixed point theorem; WEAK NONCOMPACTNESS; LEBESGUE SPACE; BANACH-SPACES; HAMMERSTEIN; SOLVABILITY; OPERATORS;
D O I：
10.1016/j.camwa.2008.09.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we introduce a brief historical note about the study of the existence of solutions of functional integral equations. Hence we prove the existence of monotonic solutions of the functional integral equation of Urysohn type. The technique rely on the concept of measure of noncompactness and its associated Darbo fixed point theorem. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：1609 / 1614
页数：6
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