Journal of Applied Mathematics and Stochastic Analysis 
Volume 4 (1991), Issue 2, Pages 117-128
doi:10.1155/S1048953391000084

An abstract inverse problem

M. Choulli

 Université de france-comté, Laboratory de Mathématiques, route de Gray, Besançon cédex 25030, France
Received 1 January 1990; Revised 1 October 1990

Abstract

In this paper we consider an inverse problem that corresponds to an abstract integrodifferential equation. First, we prove a local existence and uniqueness theorem. We also show that every continuous solution can be locally extended in a unique way. Finally, we give sufficient conditions for the existence and a stability of the global solution.