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Teoriya Veroyatnostei i ee Primeneniya, 1982, Volume 27, Issue 3, Pages 417–424 (Mi tvp2375)  

This article is cited in 10 scientific papers (total in 10 papers)

On criteria for the existence of the strong solution of the stochastic equation

A. Yu. Veretennikov

Moscow
Abstract: Criteria for the existence of the strong solution and for the strong uniqueness of a solution of the Ito's stochastic differential equation
$$ dx_t=\sigma(t,x_t)\,dw_t+b(t,x_t)\,dt,\qquad x_0=x\in E_d, $$
are formulated in terms of the linear parabolic equations theory and proved.
Received: 18.12.1979
English version:
Theory of Probability and its Applications, 1983, Volume 27, Issue 3, Pages 441–449
DOI: https://doi.org/10.1137/1127054
Bibliographic databases:
Language: Russian
Citation: A. Yu. Veretennikov, “On criteria for the existence of the strong solution of the stochastic equation”, Teor. Veroyatnost. i Primenen., 27:3 (1982), 417–424; Theory Probab. Appl., 27:3 (1983), 441–449
Citation in format AMSBIB
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\by A.~Yu.~Veretennikov
\paper On criteria for the existence of the strong solution of the stochastic equation
\jour Teor. Veroyatnost. i Primenen.
\yr 1982
\vol 27
\issue 3
\pages 417--424
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\zmath{https://zbmath.org/?q=an:0517.60060|0485.60058}
\transl
\jour Theory Probab. Appl.
\yr 1983
\vol 27
\issue 3
\pages 441--449
\crossref{https://doi.org/10.1137/1127054}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983RJ51700001}
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  • https://www.mathnet.ru/eng/tvp/v27/i3/p417
  • This publication is cited in the following 10 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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