Existence Results on General Integrodifferential Evolution Equations in Banach Space

DOI: 10.4236/am.2013.41025   PDF   HTML   XML   4,163 Downloads   5,912 Views   Citations

Abstract

In this paper we prove the existence of mild solutions of a general class of nonlinear evolution integrodifferential equation in Banach spaces. Based on the resolvent operator and the Schaefer fixed point theorem, a sufficient condition for the existence of general integrodifferential evolution equations is established.

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K. Sathiyanathan and T. Gopal, "Existence Results on General Integrodifferential Evolution Equations in Banach Space," Applied Mathematics, Vol. 4 No. 1, 2013, pp. 149-154. doi: 10.4236/am.2013.41025.

Conflicts of Interest

The authors declare no conflicts of interest.

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