Existence Results for First Order Impulsive Functional Differential Equations in Banach Spaces

  • Arjunan, M.Mallika (Department of Mathematics P.S.G. College of Arts and Science) ;
  • Anguraj, A. (Department of Mathematics P.S.G. College of Arts and Science)
  • Published : 2007.03.30

Abstract

In this paper we prove the existence of mild solutions of a first order impulsive initial value problems for functional differential equations in Banach spaces. The results are obtained by using the Lerey-Schauder nonlinear alternative fixed point theorem.