Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 3, pp. 629-645
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N. B. Konyukhova. Singular Cauchy problems for systems of ordinary differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 3, pp. 629-645. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a11/
@article{ZVMMF_1983_23_3_a11,
author = {N. B. Konyukhova},
title = {Singular {Cauchy} problems for systems of ordinary differential equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {629--645},
year = {1983},
volume = {23},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a11/}
}
TY - JOUR
AU - N. B. Konyukhova
TI - Singular Cauchy problems for systems of ordinary differential equations
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1983
SP - 629
EP - 645
VL - 23
IS - 3
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a11/
LA - ru
ID - ZVMMF_1983_23_3_a11
ER -
%0 Journal Article
%A N. B. Konyukhova
%T Singular Cauchy problems for systems of ordinary differential equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 629-645
%V 23
%N 3
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a11/
%G ru
%F ZVMMF_1983_23_3_a11
Cauchy problems are investigated for systems of nonlinear ordinary differential equations with initial conditions specified at a singular point. Existence and uniqueness theorems for the solution of singular Cauchy problems, and theorems on the asymptotic representation of the solutions in the neighbourhood of singular points are presented.
