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.