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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 1972 Volume 17, Issue 1, Pages 188–194 (Mi tvp4218)

Short Communications

On Differential Equations with Random Coefficients

I. V. Evstigneev, S. E. Kuznetsov

Moscow

Abstract: 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 $E=R^m$.

Received: 03.06.1970


 English version:
Theory of Probability and its Applications, 1972, 17:1, 183–188

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