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

Vernadsky National Library of Ukraine

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Title On differentiability of solution to stochastic differential equation with fractional Brownian motion
 
Creator Mishura, Yu.S.
Shevchenko, G.M.
 
Description 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 it is proved that the solution is infinitely differentiable in the Malliavin sense with all derivatives bounded.
 
Date 2009-11-19T10:24:47Z
2009-11-19T10:24:47Z
2007
 
Type Article
 
Identifier 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.
0321-3900
http://dspace.nbuv.gov.ua/handle/123456789/4493
 
Language en
 
Publisher Інститут математики НАН України