MEASURES OF NONCOMPACTNESS IN A SOBOLEV SPACE AND INTEGRO-DIFFERENTIAL EQUATIONS-Reference-Cited by-同舟云学术

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

Published:2016-07-21 Issue:3 Volume:94 Page:497-506
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

ALLAHYARI REZA,ARAB REZA,HAGHIGHI ALI SHOLE

Abstract

The aim of this paper is to introduce a new measure of noncompactness on the Sobolev space

$W^{n,p}[0,T]$

. 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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