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Teoriya Veroyatnostei i ee Primeneniya, 1973, Volume 18, Issue 3, Pages 505–514 (Mi tvp2723)  
This article is cited in 1 scientific paper (total in 1 paper)

On small random perturbations of a second order differential equation

V. N. Dubrovsky

Moscow
Full-text PDF (601 kB) Citations (1)
Abstract: The paper deals with limiting behaviour of an invariant measure of the diffusion process obtained on the plane when a dynamical system corresponding to some second order differential equation is disturbed by white noise with a small coefficient. It is shown that the theorem proved in the case of a non-degenerate process on a compact manifold in [1] is also true (with certain changes) in the case under consideration.
Received: 29.02.1972
English version:
Theory of Probability and its Applications, 1974, Volume 18, Issue 3, Pages 476–485
DOI: https://doi.org/10.1137/1118062
Bibliographic databases:
Language: Russian
Citation: V. N. Dubrovsky, “On small random perturbations of a second order differential equation”, Teor. Veroyatnost. i Primenen., 18:3 (1973), 505–514; Theory Probab. Appl., 18:3 (1974), 476–485
Citation in format AMSBIB
\Bibitem{Dub73}
\by V.~N.~Dubrovsky
\paper On small random perturbations of a~second order differential equation
\jour Teor. Veroyatnost. i Primenen.
\yr 1973
\vol 18
\issue 3
\pages 505--514
\mathnet{http://mi.mathnet.ru/tvp2723}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=329029}
\zmath{https://zbmath.org/?q=an:0306.60035}
\transl
\jour Theory Probab. Appl.
\yr 1974
\vol 18
\issue 3
\pages 476--485
\crossref{https://doi.org/10.1137/1118062}
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  • https://www.mathnet.ru/eng/tvp/v18/i3/p505
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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