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: | Ravi Kumar R |
Keywords: | integration, Banach space |
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.