On the solution of the problem of stochastic stability of the integral manifold by the Lyapunov’s second method

By using the method of Lyapunov functions, we establish sufficient conditions of stability and asymptotic stability in probability for the integral manifold of the Itˆo differential equations in the presence of random perturbations from the class of processes with independent increments. Theorems on...

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Bibliographic Details
Date:2016
Main Authors: Vasilina, G. K., Tleubergenov, M. I., Василина, Г. К., Тлеубергенов, М. И.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 2016
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1818
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal