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Construction of an analytic solution for one class of Langevin-type equations with orthogonal random actions
Authors:V A Dubko  E V Chalykh
Institution:(1) Birobidzhan Pedagogic Institute, Birobidzhan, Russia
Abstract:We find an analytic representation of a solution of the Itô-Langevin equations in R 3 with orthogonal random actions with respect to the vector of the solution. We construct a stochastic process to which the integral of the solution weakly converges as a small positive parameter with the derivative in the equation tends to zero.
Keywords:
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