Article citationsMore>>

L. Byszewski, “Theorems about the Existences and Uniqueness of a Solutions of a Semilinear Evolution Nonlocal Cauchy Problem,” Journal of Mathematical Analysis and Application, Vol. 162, No. 2, 1991, pp. 496-505. doi:10.1016/0022-247X(91)90164-U

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.