Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 1, pp. 127-131
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S. V. Rezničenko. An investigation of systems of coupled-mode equations with small random disturbances. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 1, pp. 127-131. http://geodesic.mathdoc.fr/item/TVP_1977_22_1_a9/
@article{TVP_1977_22_1_a9,
author = {S. V. Rezni\v{c}enko},
title = {An investigation of systems of coupled-mode equations with small random disturbances},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {127--131},
year = {1977},
volume = {22},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_1_a9/}
}
TY - JOUR
AU - S. V. Rezničenko
TI - An investigation of systems of coupled-mode equations with small random disturbances
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1977
SP - 127
EP - 131
VL - 22
IS - 1
UR - http://geodesic.mathdoc.fr/item/TVP_1977_22_1_a9/
LA - ru
ID - TVP_1977_22_1_a9
ER -
%0 Journal Article
%A S. V. Rezničenko
%T An investigation of systems of coupled-mode equations with small random disturbances
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1977
%P 127-131
%V 22
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1977_22_1_a9/
%G ru
%F TVP_1977_22_1_a9
Two systems of coupled-mode equations which arise in applications are considered. The asymptotic behaviour of the fundamental matrix is studied. Explicit approximate formulas for the elements of the matrix reflection coefficient with necessary estimates are derived. In the case when the considered system is a system of telegraph equations, groups are described which support the distribution of the fundamental matrix.
