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Mathematics of the USSR-Sbornik, 1990, Volume 65, Issue 1, Pages 185–203
DOI: https://doi.org/10.1070/SM1990v065n01ABEH001143 (Mi sm1782) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On control of diffusion processes on a surface in Euclidean space

N. V. Krylov
English version PDF (1014 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM1990v065n01ABEH001143
Abstract: Controlled diffusion processes that begin on some hypersurface and stay on it always are considered in Euclidean space. Such a situation includes controlled diffusion processes in the whole space. The results thus make sense for this case, and it turns out that even then they are stronger in many respects than previously known results. Another new element here is differentiation in the space of strategies, implemented by introducing auxiliary parameters.
Bibliography: 6 titles.
Received: 01.04.1987
Bibliographic databases:
UDC: 517.95
MSC: Primary 60J60, 58G32; Secondary 35B37
Language: English
Original paper language: Russian
Citation: N. V. Krylov, “On control of diffusion processes on a surface in Euclidean space”, Math. USSR-Sb., 65:1 (1990), 185–203
Citation in format AMSBIB
\Bibitem{Kry88}
\by N.~V.~Krylov
\paper On control of diffusion processes on a surface in Euclidean space
\jour Math. USSR-Sb.
\yr 1990
\vol 65
\issue 1
\pages 185--203
\mathnet{http://mi.mathnet.ru//eng/sm1782}
\crossref{https://doi.org/10.1070/SM1990v065n01ABEH001143}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=971693}
\zmath{https://zbmath.org/?q=an:0678.93068|0655.93078}
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  • https://www.mathnet.ru/eng/sm/v179/i2/p184
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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