Journal of Applied Mathematics and Stochastic Analysis
Volume 10 (1997), Issue 2, Pages 145-156

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

Copyright © 1997 Sergiu Aizicovici and Yun Gao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.