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Stochastic differential equations with non-negativity constraints driven by fractional Brownian motion (1107.5776v2)
Published 28 Jul 2011 in math.PR
Abstract: In this paper we consider stochastic differential equations with non-negativity constraints, driven by a fractional Brownian motion with Hurst parameter $H>\1/2$. We first study an ordinary integral equation where the integral is defined in the Young sense and then we apply this result pathwise to solve the stochastic problem.
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