Existence, uniqueness and regularity of solutions to semilinear nonlocal functional differential problems

摘要

In this paper, we consider a semilinear nonlocal functional differential problem in a Banach space. We first establish the existence, uniqueness and continuation of a mild solution. We then prove some regularity results for this mild solution under different conditions. Finally, we consider some applications of the abstract results. (C) 2004 Elsevier Ltd. All rights reserved.