On differentiability of solution to stochastic differential equation with fractional Brownian motion

Stochastic differential equation with pathwise integral with respect to fractional Brownian motion is considered. For solution of such equation, under different conditions, the Malliavin differentiability is proved. Under infinite differentiability and boundedness of derivatives of the cofficients i...

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Bibliographic Details
Date:2007
Main Authors: Mishura, Yu.S., Shevchenko, G.M.
Format: Article
Language:English
Published: Інститут математики НАН України 2007
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/4493
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On differentiability of solution to stochastic differential equation with fractional Brownian motion / Yu.S. Mishura, G.M. Shevchenko // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 1-2. — С. 243-250. — Бібліогр.: 10 назв.— англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine