Regularity of solutions of evolution integrodifferential equations with deviating argument

Regularity of solutions of evolution integrodifferential equations with deviating argument

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Article ID: iaor20115677
Volume: 217
Issue: 22
Start Page Number: 9111
End Page Number: 9121
Publication Date: Jul 2011
Journal: Applied Mathematics and Computation
Authors:
Keywords: integration, Banach space
Abstract:

In this paper we prove the existence of mild and classical solutions of delay integrodifferential equation and delay integrodifferential evolution equations with nonlocal condition in Banach spaces. The regularity solutions of integrodifferential evolution equations interconnected with viscoelastic material is derived to guarantee the stabilization. The results are established by using the resolvent operators and the fixed point principles. Finally, an example is given to show the potential of the proposed techniques.

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