Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 1003-1007
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I. M. Gaisinskii. A recurrence algorithm for solving infinite sets of linear differential equations with a triangular matrix. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 1003-1007. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a26/
@article{ZVMMF_1983_23_4_a26,
author = {I. M. Gaisinskii},
title = {A recurrence algorithm for solving infinite sets of linear differential equations with a triangular matrix},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1003--1007},
year = {1983},
volume = {23},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a26/}
}
TY - JOUR
AU - I. M. Gaisinskii
TI - A recurrence algorithm for solving infinite sets of linear differential equations with a triangular matrix
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1983
SP - 1003
EP - 1007
VL - 23
IS - 4
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a26/
LA - ru
ID - ZVMMF_1983_23_4_a26
ER -
%0 Journal Article
%A I. M. Gaisinskii
%T A recurrence algorithm for solving infinite sets of linear differential equations with a triangular matrix
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 1003-1007
%V 23
%N 4
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a26/
%G ru
%F ZVMMF_1983_23_4_a26
A recurrence algorithm is described for solving infinite sets of linear ordinary differential equations with constant coefficients; it is based on expansion of the matrix Green's function in basis functions. Simple recurrence relations are obtained for the expansion coefficients.
