Journal of Applied Mathematics and Stochastic Analysis 
Volume 10 (1997), Issue 2, Pages 145-156
doi:10.1155/S104895339700018X

Functional differential equations with nonlocal initial conditions

Sergiu Aizicovici and Yun Gao

Ohio University, Department of Mathematics, Athens 45701, OH, USA

Received 1 January 1996; Revised 1 May 1996

Abstract

We study the existence, uniqueness, asymptotic properties, and continuous dependence upon data of solutions to a class of abstract nonlocal Cauchy problems. The approach we use is based on the theory of m-accretive operators and related evolution equations in Banach spaces.