Matematičeskie zametki, Tome 18 (1975) no. 5, pp. 731-734
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A. Ya. Belyankov. The existence of a fundamental solution of power growth for systems of difference equations. Matematičeskie zametki, Tome 18 (1975) no. 5, pp. 731-734. http://geodesic.mathdoc.fr/item/MZM_1975_18_5_a9/
@article{MZM_1975_18_5_a9,
author = {A. Ya. Belyankov},
title = {The existence of a~fundamental solution of power growth for systems of difference equations},
journal = {Matemati\v{c}eskie zametki},
pages = {731--734},
year = {1975},
volume = {18},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_5_a9/}
}
TY - JOUR
AU - A. Ya. Belyankov
TI - The existence of a fundamental solution of power growth for systems of difference equations
JO - Matematičeskie zametki
PY - 1975
SP - 731
EP - 734
VL - 18
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1975_18_5_a9/
LA - ru
ID - MZM_1975_18_5_a9
ER -
%0 Journal Article
%A A. Ya. Belyankov
%T The existence of a fundamental solution of power growth for systems of difference equations
%J Matematičeskie zametki
%D 1975
%P 731-734
%V 18
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1975_18_5_a9/
%G ru
%F MZM_1975_18_5_a9
It is proved that any nondegenerate system of difference equations of finite order with constant coefficients has a fundamental solution, increasing not faster then some power of the distance from the origin. A proof is obtained by the reduction to a known similar result for the case of one equation.
