Existence of solutions of functional differential inclusions. (1992)

• Record Type: Journal Article
• Authors: Anguraj, A.; Balachandran, K.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 5:Number 4(1992)
• Page Start: 315
• Page End: 323
• Publication Date: 1992
• Subjects: set-valued maps -- functional differential inclusion -- integral inclusion -- Kakutani's fixed point theorem; 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/S1048953392000261
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : We prove the existence of solutions of a functional differential inclusion. By using the variation of parameters formula we convert the functional differential inclusion into an integral inclusion and prove the existence of a fixed point of the set-valued mapping with the help of the Kakutani-Bohnenblust-Karlin fixed point theorem.