Linear Stochastic Differential Equations Driven by a Fractional Brownian Motion with Hurst Parameter less than 1/2

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dc.creatorLeon, Jorge A.
dc.creatorMartin, Jaime San
dc.date2006-03-28
dc.date.accessioned2026-07-07T08:07:41Z
dc.date.available2026-07-07T08:07:41Z
dc.descriptionIn this paper we use the chaos decomposition approach to establish the existence of a unique continuous solution to linear fractional differential equations of the Skorohod type. Here the coefficients are deterministic, the inital condition is anticipating and the underlying fractional Brownian motion has Hurst parameter less than 1/2. We provide an explicit expression for the chaos decomposition of the solution in order to show our results.
dc.identifierhttps://arxiv.org/abs/math/0603636
dc.identifierhttp://arxiv.org/abs/math/0603636
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131013
dc.subjectProbability
dc.subjectStatistics Theory
dc.subject60H20; 60H05; 60H07
dc.titleLinear Stochastic Differential Equations Driven by a Fractional Brownian Motion with Hurst Parameter less than 1/2
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