Electronic Journal of Differential Equations, Vol. 2007(2007), No. 33, pp. 1-6. Title: Nonlocal Cauchy problem for quasilinear integrodifferential equations in Banach spaces Author: Mariappan Chandrasekaran (Sri Shakthi Institute, Tamil Nadu, India) Abstract: The aim of this paper is to prove the existence of mild solutions of the nonlocal Cauchy problem for a nonlinear integrodifferential equation. The results are established by using the method of semigroup and the Schaefer theorem. Submitted February 6, 2007. Published February 27, 2007. Math Subject Classifications: 34K05, 34K30. Key Words: Nonlocal conditions; mild Solutions; nonlinear equation; Schaefer theorem.