An abstract inverse problem. (1991)

• Record Type: Journal Article
• Authors: Choulli, M.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 4:Number 2(1991)
• Page Start: 117
• Page End: 128
• Publication Date: 1991
• Subjects: inverse problem -- abstract integrodifferential equation -- existence -- uniqueness -- stability; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953391000084
• Languages: English
• ISSNs: 1048-9533

Abstract

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.