MEASURES OF NONCOMPACTNESS IN A SOBOLEV SPACE AND INTEGRO-DIFFERENTIAL EQUATIONS

被引：7

作者：

Allahyari, Reza ^{[1
]}

Arab, Reza ^{[2
]}

Haghighi, Ali Shole ^{[2
]}

机构：

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

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

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2016年 / 94卷 / 03期

关键词：

measures of noncompactness; Darbo's fixed point theorem; integro-differential equations; Sobolev spaces; FUNCTIONAL-INTEGRAL-EQUATION; ASYMPTOTIC STABILITY; NUMERICAL-SOLUTION; EXISTENCE; SYSTEM;

D O I：

10.1017/S0004972716000320

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to introduce a new measure of noncompactness on the Sobolev space W-n,W-p[0, T]. As an application, we investigate the existence of solutions for some classes of functional integro-differential equations in this space using Darbo's fixed point theorem.

引用

页码：497 / 506

页数：10

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