Dalʹnevostočnyj matematičeskij žurnal, Tome 1 (2000) no. 1, pp. 43-50
Citer cet article
G. G. Durnov. The estimation for the indexes of linear differential systems with perturbation. Dalʹnevostočnyj matematičeskij žurnal, Tome 1 (2000) no. 1, pp. 43-50. http://geodesic.mathdoc.fr/item/DVMG_2000_1_1_a5/
@article{DVMG_2000_1_1_a5,
author = {G. G. Durnov},
title = {The estimation for the indexes of linear differential systems with perturbation},
journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
pages = {43--50},
year = {2000},
volume = {1},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DVMG_2000_1_1_a5/}
}
TY - JOUR
AU - G. G. Durnov
TI - The estimation for the indexes of linear differential systems with perturbation
JO - Dalʹnevostočnyj matematičeskij žurnal
PY - 2000
SP - 43
EP - 50
VL - 1
IS - 1
UR - http://geodesic.mathdoc.fr/item/DVMG_2000_1_1_a5/
LA - ru
ID - DVMG_2000_1_1_a5
ER -
%0 Journal Article
%A G. G. Durnov
%T The estimation for the indexes of linear differential systems with perturbation
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2000
%P 43-50
%V 1
%N 1
%U http://geodesic.mathdoc.fr/item/DVMG_2000_1_1_a5/
%G ru
%F DVMG_2000_1_1_a5
The estimation for indexes of linear differential systems with perturbation are presented. The results are based on the theorem frequency of Jakubovich-Calman. The considered perturbation belongs to the special class of operators.
[2] G. G. Durnov, “Otsenki generalnykh pokazatelei lineinykh differentsialnykh uravnenii v gilbertovom prostranstve”, Dalnevostochnyi matematicheskii sbornik, 1998, no. 5, 8–13 | Zbl
[3] B. F. Bylov, R. E. Vinograd, D. M. Grobman, V. V. Nemytskii, Teoriya pokazatelei Lyapunova i ee prilozheniya k voprosam ustoichivosti, Nauka, M., 1966, 576 pp. | MR | Zbl
[4] A. Kh. Gelig, G. A. Leonov, V. A. Yakubovich, Ustoichivost nelineinykh sistem s needinstvennym sostoyaniem ravnovesiya, Nauka, M., 1978, 400 pp. | MR | Zbl
[5] F. R. Gantmakher, Teoriya matrits, Nauka, M., 1967, 576 pp. | MR