Solvability of a System of Integral Equations of Volterra Type in the Frechet Space Llocp(R+) via Measure of Noncompactness

被引：12
|
作者：
Banaei, Shahram [1 ]
机构：
[1] Islamic Azad Univ, Bonab Branch, Dept Math, Bonab, Iran
来源：
FILOMAT | 2018年 / 32卷 / 15期
关键词：
Measure of noncompactness; Fixed point theorem; Integral equations; Frechet space; DARBOS THEOREM; EXISTENCE; FAMILY;
D O I：
10.2298/FIL1815255B
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this article is to analyze the existence of solutions for a system of integral equations of Volterra type in the Frechet space L-loc(p) (R+) and prove a fixed point theorem of Darbo-type in this space. The technique of measure of noncompactness by applying fixed point theorem is the main tool in carrying out our proof. Moreover, we present an example to show the efficiency of our results.
引用
收藏
页码：5255 / 5263
页数：9
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