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MEASURES OF NONCOMPACTNESS IN A SOBOLEV SPACE AND INTEGRO-DIFFERENTIAL EQUATIONS
Published online by Cambridge University Press: 21 July 2016
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.
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- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 94 , Issue 3 , December 2016 , pp. 497 - 506
- Copyright
- © 2016 Australian Mathematical Publishing Association Inc.
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