ON THE SOLVABILITY OF NONLINEAR INTEGRAL EQUATIONS IN LEBESGUE SPACE

被引：0
|
作者：
El-Abd, E. M.
机构：
来源：
FILOMAT | 2009年 / 23卷 / 03期
关键词：
Monotonic solutions; Lebesgue measure; Compactness; SUPERPOSITION OPERATOR; NON-COMPACTNESS;
D O I：
10.2298/FIL0903203E
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove theorems on the existence of integrable and monotonic solutions of nonlinear integral equation in Lebesgue Space. The basic tool used in the proof is the fixed point theorem due to Darbo with respect to the so-called measure of weak noncompactness.
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页码：203 / 209
页数：7
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