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math.PR2015
Stochastic differential equations of second order with a small parameter
Mikhail Kamenskii, Marc Quincampoix, Serguei Pergamenchtchikov
We consider boundary value problems for stochastic differential equations of second order with a small parameter. For this case we prove a special existence and unicity theorem for…
math.PR2004
Existence of weak solutions to stochastic evolution inclusions
Adam Jakubowski, Mikhail Kamenskii, Paul Raynaud De Fitte
We consider the Cauchy problem for a semilinear stochastic differential inclusion in a Hilbert space. The linear operator generates a strongly continuous semigroup and the nonlinea…