Application of measures of noncompactness to the system of integral equations

被引：0

作者：

Banaei, Shahram ^{[2
]}

Samadi, Ayub ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Miyaneh Branch, Miyaneh, Iran

[2] Islamic Azad Univ, Dept Math, Bonab Branch, Bonab, Iran

来源：

COGENT MATHEMATICS & STATISTICS | 2019年 / 6卷

关键词：

Darbo's fixed point theorem; measure of noncompactness; integral equations; FIXED-POINT THEOREMS; DIFFERENTIAL-EQUATIONS; INFINITE SYSTEM; SOLVABILITY; EXISTENCE; SPACES;

D O I：

10.1080/25742558.2019.1702860

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by applying a measure of noncompactness in the space L-infinity(R-n) and a new generalization of Darbo fixed point theorem, we study the existence of solutions for a class of the system of integral equations. Our main result is more general than the main result of [2]. Finally, an example is presented to show the usefulness of the outcome.

引用

页数：10

共 19 条

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