On Differential Equations with Random Coefficients

Let $E$ be a Banach space, $\mathscr{L}(E)$ the algebra of continous linear operators $A\colon E\to E$ and $A(\omega,t)$ a stationary stochastic process in $\mathscr{L}(E)$.
In this paper, several asymptotic properties of solutions of the differential equation $\dot{x}=A(\omega,t)x$ are considered. A part of the paper deals with the special case $E=R^m$.