Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 2, pp. 359-372
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A. B. Vasil'eva. Contrast structure of step type for initial value problem. Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 2, pp. 359-372. http://geodesic.mathdoc.fr/item/FPM_1997_3_2_a2/
@article{FPM_1997_3_2_a2,
author = {A. B. Vasil'eva},
title = {Contrast structure of step type for initial value problem},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {359--372},
year = {1997},
volume = {3},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1997_3_2_a2/}
}
TY - JOUR
AU - A. B. Vasil'eva
TI - Contrast structure of step type for initial value problem
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1997
SP - 359
EP - 372
VL - 3
IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_1997_3_2_a2/
LA - ru
ID - FPM_1997_3_2_a2
ER -
%0 Journal Article
%A A. B. Vasil'eva
%T Contrast structure of step type for initial value problem
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1997
%P 359-372
%V 3
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_1997_3_2_a2/
%G ru
%F FPM_1997_3_2_a2
The initial value problem for singularly perturbed system is considered, when the stability of degenerate solution is broken at some point. It is shown that such system can have a solution in the form of step type contrast structure.