2019
Том 71
№ 11

All Issues

Criteria for the Asymptotic Stability of Solutions of Dynamical Systems

Dzhalladova I. A., Valeyev K. G.

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Abstract

We present a new proof for criteria for the asymptotic stability of systems of difference and differential equations based on the properties of monotone operators in a semiordered space. We also establish necessary and sufficient conditions for the asymptotic stability of stochastic systems of differential and difference equations in the mean square.

English version (Springer): Ukrainian Mathematical Journal 52 (2000), no. 12, pp 1942-1948.

Citation Example: Dzhalladova I. A., Valeyev K. G. Criteria for the Asymptotic Stability of Solutions of Dynamical Systems // Ukr. Mat. Zh. - 2000. - 52, № 12. - pp. 1702-1707.

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