Existence of solution for a mixed neutral system. (1992)

• Record Type: Journal Article
• Authors: Balachandran, K.; Anguraj, A.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 5:Number 3(1992)
• Page Start: 221
• Page End: 226
• Publication Date: 1992
• Subjects: functional differential equations -- existence and uniqueness; 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/S1048953392000182
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : We prove the existence of unique solution of the mixed neutral system x ′ ( t ) = f ( t, x ) + ∑ j = 1 m A j ( t, x ) x ′ ( t + p j ) + g ( t, x, x ′ ( t + h ) ) x ( 0 ) = x 0 and also prove the continuous dependence of the solution.