Geodesic
On stability of solutions to certain differential equations with discontinuous right-hand sides
Eurasian mathematical journal, Tome 7 (2016) no. 4, pp. 79-84 
V. I. Bezyaev. On stability of solutions to certain differential equations with discontinuous right-hand sides. Eurasian mathematical journal, Tome 7 (2016) no. 4, pp. 79-84. http://geodesic.mathdoc.fr/item/EMJ_2016_7_4_a4/
@article{EMJ_2016_7_4_a4,
     author = {V. I. Bezyaev},
     title = {On stability of solutions to certain differential equations with discontinuous right-hand sides},
     journal = {Eurasian mathematical journal},
     pages = {79--84},
     year = {2016},
     volume = {7},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2016_7_4_a4/}
}
TY  - JOUR
AU  - V. I. Bezyaev
TI  - On stability of solutions to certain differential equations with discontinuous right-hand sides
JO  - Eurasian mathematical journal
PY  - 2016
SP  - 79
EP  - 84
VL  - 7
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/EMJ_2016_7_4_a4/
LA  - en
ID  - EMJ_2016_7_4_a4
ER  - 
%0 Journal Article
%A V. I. Bezyaev
%T On stability of solutions to certain differential equations with discontinuous right-hand sides
%J Eurasian mathematical journal
%D 2016
%P 79-84
%V 7
%N 4
%U http://geodesic.mathdoc.fr/item/EMJ_2016_7_4_a4/
%G en
%F EMJ_2016_7_4_a4

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

For a class of nonlinear nonautonomous systems of differential equations with discontinuous right-hand sides effective conditions for stability and instability of their solutions are given.

[1] R. Z. Abdullin et al., Method of Lyapunov vector functions in stability theory, Nauka, M., 1987, 312 pp. (in Russian) | Zbl

[2] A. A. Andronov, A. A. Vitt, S. A. Haikin, Theory of oscillations, Nauka, M., 1981, 916 pp. (in Russian) | MR | Zbl

[3] V. I. Bezyaev, “Stability of solutions to one class discontinuos systems”, Tambov Univ. Reports, 20:6 (2015), 1730–1734

[4] B. P. Demidovich, Lectures on mathematical stability theory, LAN', St. Petersburg, 2008, 472 pp. (in Russian)

[5] A. F. Filippov, Differential equations with discontinuous right-hand side, Nauka, M., 1985, 224 pp. (in Russian) | Zbl

[6] A. Kh. Gelig, G. A. Leonov, V. A. Yakubovich, Stability of nonlinear systems with non-unique equilibrium state, Nauka, M., 1978, 400 pp. (in Russian)

[7] Yu. A. Konyaev, “Method of unitary transformations in stability theory”, Izv. VUZov. Mat., 2002, no. 2, 41–45 | MR | Zbl

[8] V. M. Matrosov, I. A. Finogenko, “Analytical dynamics of systems of rigid bodies with dry friction”, Nonlinear mechanics, Fizmatlit, M., 2001, 39–61