Abstract
An existence of solution theorem is obtained for stochastic differential inclusions given in terms of the so-called current velocities (direct analogues of ordinary velocity of deterministic systems) and quadratic mean derivatives (giving information on the diffusion coefficient) on the flat n-dimensional torus. The current velocity part is single-valued while the quadratic part is set-valued and takes values in symmetric (2, 0) tensors with unit determinant.
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