On Chaplygin-Lyapunov comparison principle in nonlinear mechanics
Theoretical and applied mechanics, Tome 5 (1979) no. 1, p. 85
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For the system of differential equations of perturbed motion with small additively ente ed perturbations the stability conditions, uniform stability conditions, asymptotic stability conditions are established, in such case when generating system is only stable and hence, in conditions of non-utilization of I. G. Malkin theorem about the stability with constantly acted perturbations. The stability conditions of determined type stability of corresponding comparison system.
@article{TAM_1979_5_1_a8,
author = {A. A. Martinyuk},
title = {On {Chaplygin-Lyapunov} comparison principle in nonlinear mechanics},
journal = {Theoretical and applied mechanics},
pages = {85 },
year = {1979},
volume = {5},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAM_1979_5_1_a8/}
}
A. A. Martinyuk. On Chaplygin-Lyapunov comparison principle in nonlinear mechanics. Theoretical and applied mechanics, Tome 5 (1979) no. 1, p. 85 . http://geodesic.mathdoc.fr/item/TAM_1979_5_1_a8/