Extremal solutions to a class of multivalued integral equations in Banach space. (1992)

• Record Type: Journal Article
• Authors: Aizicovici, Sergiu; Papageorgiou, Nikolaos S.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 5:Number 3(1992)
• Page Start: 205
• Page End: 220
• Publication Date: 1992
• Subjects: m-accretive operator -- Volterra integral inclusion -- integral solution -- “bang-bang” principle; 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/S1048953392000170
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : We consider a nonlinear Volterra integral inclusion in a Banach space. We establish the existence of extremal integral solutions, and we show that they are dense in the solution set of the original equation. As an important application, we obtain a “bang-bang” theorem for a class of nonlinear, infinite dimensional control systems.