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We consider a non-smooth Grushin-type distribution, defined on R n , whose stochastic perturbation defines the admissible stochastic processes. Our main result is a stochastic accessibility theorem on the corresponding Grushin manifold. More specifically, given two points P and Q , we show how to steer an admissible stochastic processes, starting at P , such that it strikes an arbitrarily small ball centered at Q , asymptotically almost surely. [ABSTRACT FROM AUTHOR]

Abstract: For a mixed stochastic differential equation driven by independent fractional Brownian motions and Wiener processes, the existence and integrability of the Malliavin derivative of the solution are established. It is also proved that the solution possesses exponential moments. [Copyright &y& Elsevier]