Stability of stationary and periodic solutions equations in Banach space. (1997)

• Record Type: Journal Article
• Authors: Dorogovtsev, A. Ya.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 10:Number 3(1997)
• Page Start: 249
• Page End: 255
• Publication Date: 1997
• Subjects: abstract linear equations -- stationary and periodic solutions -- stability -- perturbations of coefficients; 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/S1048953397000312
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : Linear difference and differential equations with operator coefficients and random stationary (periodic) input are considered. Conditions are presented for the mean stability of stationary (periodic) solutions under small perturbation of the coefficients.