Geodesic
On the stability of acting force of linear systems of differential equations with changeable coefficients
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2002), pp. 31-34.

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

The problem of stability depending on acting force of the system of the linear differential equations with changeable coefficients is considered. It is shown that Liapunov’s reconstruction equivalence of tasks of stability depending on acting force of systems with changeable and with constant coefficients is preserved. Necessary and sufficient conditions are obtained, under which the resulted system of the linear differential equations with changeable coefficients is stable, asymptotic stable or unstable depending on acting force.
Mots-clés : Liapunov’s reconstruction
Keywords: acting force. 
@article{UZERU_2002_3_a5,
     author = {S. G. Shahinyan},
     title = {On the stability of acting force of linear systems of differential equations with changeable coefficients},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {31--34},
     publisher = {mathdoc},
     number = {3},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2002_3_a5/}
}
TY  - JOUR
AU  - S. G. Shahinyan
TI  - On the stability of acting force of linear systems of differential equations with changeable coefficients
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2002
SP  - 31
EP  - 34
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2002_3_a5/
LA  - ru
ID  - UZERU_2002_3_a5
ER  - 
%0 Journal Article
%A S. G. Shahinyan
%T On the stability of acting force of linear systems of differential equations with changeable coefficients
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2002
%P 31-34
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2002_3_a5/
%G ru
%F UZERU_2002_3_a5
S. G. Shahinyan. On the stability of acting force of linear systems of differential equations with changeable coefficients. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2002), pp. 31-34. http://geodesic.mathdoc.fr/item/UZERU_2002_3_a5/

[1] M. S. Gabrielyan, S. G. Shaginyan, “O postroenii funktsii Lyapunova”, Uchenye zapiski EGU, 1987, no. 1, 27–32 | MR | Zbl

[2] B. P. Demidovich, Lektsii po matematichekoi teorii ustoichivosti, Nauka, M., 1967, 472 pp. | MR

[3] A. M. Lyapunov, Obschaya zadacha ob ustoichivosti dvizheniya, Gostekhizdat, M., 1950, 471 pp. | MR

[4] S. G. Shaginyan, Uchenye zapiski EGU, 1986, no. 2, 39–46 | MR | Zbl