Existence and regularity for some partial functional integrodifferential equations with infinite delay

Khalil Ezzinbi, Sylvain Koumla, Abdou Sene

Abstract


In this work, we study the existence and regularity of solutions for some partial functional integrodifferential equations with infinite delay in Banach spaces. Firstly, we show the existence of the mild solutions. Secondly, we give sufficient conditions ensuring the existence of the strict solution. The method used treats the equations in the domain of A with the graph norm employing results from linear semigroup theory. To illustrate our abstract result, we conclude this work with an application.


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Published: 2016-08-20

How to Cite this Article:

Khalil Ezzinbi, Sylvain Koumla, Abdou Sene, Existence and regularity for some partial functional integrodifferential equations with infinite delay, Journal of Semigroup Theory and Applications, Vol 2016 (2016), Article ID 6

Copyright © 2016 Khalil Ezzinbi, Sylvain Koumla, Abdou Sene. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Journal of Semigroup Theory and Applications

ISSN 2051-2937

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