Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 33 (1988), pp. 193-214
Citer cet article
A. D. Vainshtein; B. Z. Shapiro. Singularities of the boundary of a domain of hyperbolicity. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 33 (1988), pp. 193-214. http://geodesic.mathdoc.fr/item/INTD_1988_33_a5/
@article{INTD_1988_33_a5,
author = {A. D. Vainshtein and B. Z. Shapiro},
title = {Singularities of the boundary of a~domain of hyperbolicity},
journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
pages = {193--214},
year = {1988},
volume = {33},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTD_1988_33_a5/}
}
TY - JOUR
AU - A. D. Vainshtein
AU - B. Z. Shapiro
TI - Singularities of the boundary of a domain of hyperbolicity
JO - Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
PY - 1988
SP - 193
EP - 214
VL - 33
UR - http://geodesic.mathdoc.fr/item/INTD_1988_33_a5/
LA - ru
ID - INTD_1988_33_a5
ER -
%0 Journal Article
%A A. D. Vainshtein
%A B. Z. Shapiro
%T Singularities of the boundary of a domain of hyperbolicity
%J Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
%D 1988
%P 193-214
%V 33
%U http://geodesic.mathdoc.fr/item/INTD_1988_33_a5/
%G ru
%F INTD_1988_33_a5
The singularities of hyperbolic polynomials (hypersurfaces) and the singularities of the boundary of the hyperbolicity region are investigated. Theorems on stabilization of these singularities in families with a fixed number of parameters and on their relationship with elliptic singularities are proved. The problems considered in this study are part of a research program focusing on singularities of boundaries of spaces of differential equations, proposed by V. I. Arnol'd.
