Abstract
The stability of solutions of differential equations with pulse perturbations and Markov coefficients is studied by the second Lyapunov method.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. M. Samoilenko and N. A. Perestyuk, Differential Equations with Pulse Influence [in Russian], Vyshcha Shkola, Kiev (1987).
E. B. Dynkin, Markov Processes [in Russian], Fizmatgiz, Moscow 1963.
I. Ivaniv and V. Tsar’kova, “Stability of linear and pulse systems with Markov processes,” in: Mathematics. A Collection of Scientific Papers [in Russian], Vol. 562, Latvian University, Riga (1991), pp. 65–74.
M. L. Sverdan and E. F. Tsar’kov, Stability of Stochastic Pulse Systems [in Russian], RTU, Riga 1994.
E. F. Tsar’kov and V. K. Yasinskii, Quasilinear Stochastic Functional-Differential Equations [in Russian], Orientir, Riga 1992.
Rights and permissions
About this article
Cite this article
Sverdan, M.L. The second Lyapunov method for the investigation of stability of differential equations with Pulse perturbations and Markov coefficients. Ukr Math J 48, 928–936 (1996). https://doi.org/10.1007/BF02384177
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02384177