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A. Pazy, “Semigroups of Linear Operators and Applications to Partial Differential Equations,” Springer-Verlag, New York, 1933.

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.