Journal of Applied Mathematics and Stochastic Analysis 
Volume 10 (1997), Issue 3, Pages 249-255
doi:10.1155/S1048953397000312

Stability of stationary and periodic solutions equations in Banach space

A. Ya. Dorogovtsev

 Kiev University, Mechanics and Mathematics Department, Vladimirskaya 64, Kiev-33 252033, Ukraine
Received 1 April 1996; Revised 1 March 1997

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.