Geodesic
On limitation of linear differential systems with perturbation
Dalʹnevostočnyj matematičeskij žurnal, Tome 3 (2002) no. 2, pp. 165-172.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{DVMG_2002_3_2_a2,
     author = {G. G. Durnov},
     title = {On limitation of linear differential systems with perturbation},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {165--172},
     publisher = {mathdoc},
     volume = {3},
     number = {2},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2002_3_2_a2/}
}
TY  - JOUR
AU  - G. G. Durnov
TI  - On limitation of linear differential systems with perturbation
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2002
SP  - 165
EP  - 172
VL  - 3
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DVMG_2002_3_2_a2/
LA  - ru
ID  - DVMG_2002_3_2_a2
ER  - 
%0 Journal Article
%A G. G. Durnov
%T On limitation of linear differential systems with perturbation
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2002
%P 165-172
%V 3
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DVMG_2002_3_2_a2/
%G ru
%F DVMG_2002_3_2_a2
G. G. Durnov. On limitation of linear differential systems with perturbation. Dalʹnevostočnyj matematičeskij žurnal, Tome 3 (2002) no. 2, pp. 165-172. http://geodesic.mathdoc.fr/item/DVMG_2002_3_2_a2/

[1] G. G. Durnov, “Otsenki generalnykh pokazatelei reshenii lineinykh vektornykh differentsialnykh uravnenii vysshikh poryadkov”, Dalnevostochnyi matematicheskii sbornik, 2, 1996, 62–71 | MR | Zbl

[2] G. G. Durnov, “Otsenki generalnykh pokazatelei lineinykh differentsialnykh uravnenii v gilbertovom prostranstve”, Dalnevostochnyi matematicheskii sbornik, 5, 1998, 8–13 | Zbl

[3] G. G. Durnov, “Otsenki pokazatelei reshenii sistem lineinykh differentsialnykh uravnenii s vozmuscheniem”, Dalnevostochnyi matematicheskii zhurnal, 1:1 (2000), 43–50

[4] N. P. Erugin, I. Z. Shtokalo i dr., Kurs obyknovennykh differentsialnykh uravnenii, Golovnoe izd-vo, Kiev, 1974, 482 pp.

[5] 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

[6] A. Kh. Gelig, G. A. Leonov, V. A. Yakubovich, Ustoichivost nelineinykh sistem s needinstvennym sostoyaniem ravnovesiya, Nauka, M., 1978, 400 pp. | MR | Zbl

[7] F. R. Gantmakher, Teoriya matrits, Nauka, M., 1967, 576 pp. | MR

[8] G. G. Durnov, “Otsenki kharakteristicheskikh pokazatelei vektornogo lineinogo differentsialnogo uravneniya vtorogo poryadka s periodicheskimi koeffitsientami”, Vestnik LGU, 1971, no. 7, 14–21 | MR | Zbl

[9] V. A. Yakubovich, V. M. Starzhinskii, Lineinye differentsialnye uravneniya s periodicheskimi koeffitsientami i ikh prilozheniya, Nauka, M., 1972, 718 pp. | MR