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 Teor. Veroyatnost. i Primenen.: Year: Volume: Issue: Page: Find

 Teor. Veroyatnost. i Primenen., 1972, Volume 17, Issue 4, Pages 748–751 (Mi tvp4349)

Short Communications

On a transformation of systems of stochastic differential equations

V. A. Lebedev

Moscow

Abstract: For a diffusion Markov process defined by the Ito equations (1), an $\mathfrak{F}_t$-measurable transformation defined by (3) or (4) with $G(z,t)$ and $F(x,t)$ satisfying (2) and (6) respectively is considered. The process $(z(t), y(t))$ where $z(t)=F(x(t), t)$ with $(x(t), y(t))$ defined by (1) is shown to satisfy the system (5).

Full text: PDF file (492 kB)

English version:
Theory of Probability and its Applications, 1973, 17:4, 706–709

Bibliographic databases:

Citation: V. A. Lebedev, “On a transformation of systems of stochastic differential equations”, Teor. Veroyatnost. i Primenen., 17:4 (1972), 748–751; Theory Probab. Appl., 17:4 (1973), 706–709

Citation in format AMSBIB
\Bibitem{Leb72}
\by V.~A.~Lebedev
\paper On a transformation of systems of stochastic differential equations
\jour Teor. Veroyatnost. i Primenen.
\yr 1972
\vol 17
\issue 4
\pages 748--751
\mathnet{http://mi.mathnet.ru/tvp4349}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=312570}
\zmath{https://zbmath.org/?q=an:0293.60053}
\transl
\jour Theory Probab. Appl.
\yr 1973
\vol 17
\issue 4
\pages 706--709
\crossref{https://doi.org/10.1137/1117085}