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R. Gimmer, “Resolvent Operators for Integral Equations in a Banach Space,” Transactions of the American Mathematical Society, Vol. 273, 1982, pp. 333-349. doi:10.1090/S0002-9947-1982-0664046-4

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.