Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 1, pp. 188-194
Citer cet article
I. V. Evstigneev; S. E. Kuznetsov. On Differential Equations with Random Coefficients. Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 1, pp. 188-194. http://geodesic.mathdoc.fr/item/TVP_1972_17_1_a18/
@article{TVP_1972_17_1_a18,
author = {I. V. Evstigneev and S. E. Kuznetsov},
title = {On {Differential} {Equations} with {Random} {Coefficients}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {188--194},
year = {1972},
volume = {17},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1972_17_1_a18/}
}
TY - JOUR
AU - I. V. Evstigneev
AU - S. E. Kuznetsov
TI - On Differential Equations with Random Coefficients
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1972
SP - 188
EP - 194
VL - 17
IS - 1
UR - http://geodesic.mathdoc.fr/item/TVP_1972_17_1_a18/
LA - ru
ID - TVP_1972_17_1_a18
ER -
%0 Journal Article
%A I. V. Evstigneev
%A S. E. Kuznetsov
%T On Differential Equations with Random Coefficients
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1972
%P 188-194
%V 17
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1972_17_1_a18/
%G ru
%F TVP_1972_17_1_a18
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 $E=R^m$.
