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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 2, Pages 170–178 (Mi timm942)  
This article is cited in 1 scientific paper (total in 1 paper)

Stability of nondissipative systems under random perturbations that are small in the mean

L. A. Kalyakin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
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Abstract: The problem of stability under a permanent random perturbation is considered for a nondissipative system. Conditions for strong stability in probability are given in terms of the mathematical expectation of the (time) mean absolute value of the perturbation.
Keywords: nonlinear equations, random perturbation, equilibrium, stability.
Received: 10.08.2012
Bibliographic databases:
Document Type: Article
UDC: 517.938
Language: Russian
Citation: L. A. Kalyakin, “Stability of nondissipative systems under random perturbations that are small in the mean”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 2, 2013, 170–178
Citation in format AMSBIB
\Bibitem{Kal13}
\by L.~A.~Kalyakin
\paper Stability of nondissipative systems under random perturbations that are small in the mean
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 2
\pages 170--178
\mathnet{http://mi.mathnet.ru/timm942}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3363383}
\elib{https://elibrary.ru/item.asp?id=19053978}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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