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has been cited by the following article:
TITLE: Existence Results on General Integrodifferential Evolution Equations in Banach Space
AUTHORS: K. Sathiyanathan, T. Nandha Gopal
KEYWORDS: Existence; Nonlinear Integrodifferential Evolution Equation; Resolvent Operator; Schaefer’s Fixed Point Theorem
JOURNAL NAME: Applied Mathematics, Vol.4 No.1, January 28, 2013
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.