SOLVABILITY OF A GENERAL NONLINEAR INTEGRAL EQUATION IN L1 SPACES BY MEANS OF A MEASURE OF WEAK NONCOMPACTNESS

被引：1

作者：

Wang, Fuli ^{[1
]}

机构：

[1] Changzhou Univ, Sch Math & Phys, Changzhou 213164, Peoples R China

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2015年 / 27卷 / 02期

关键词：

Superposition operators; measure of weak noncompactness; fixed points; nonlinear integral equations; Banach algebras; OPERATOR;

D O I：

10.1216/JIE-2015-27-2-273

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with existence results for a quite general nonlinear functional integral equation in L-1 spaces. For this purpose, making use of the De Blasi measure of weak noncompactness, we first establish a new fixed point theorem of the nonautonomous superposition operators. After that, our theorem is applied to prove the solvability of the mentioned nonlinear functional integral equation.

引用

页码：273 / 287

页数：15

共 15 条

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