Geodesic
Abstract Cauchy Problem in spaces of stochastic distributions
Contemporary Mathematics. Fundamental Directions, Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2005). Part 2, Tome 16 (2006), pp. 96-109

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The first order abstract Cauchy problem with additive white noise and generator of an $R$-semigroup in a Hilbert space $H$ is investigated. A generalized solution in spaces of $H$-valued stochastic distributions is constructed and main characteristics of the solution are obtained. 
@article{CMFD_2006_16_a6,
     author = {I. V. Mel'nikova and A. I. Filinkov},
     title = {Abstract {Cauchy} {Problem} in spaces of stochastic distributions},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {96--109},
     publisher = {mathdoc},
     volume = {16},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2006_16_a6/}
}
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I. V. Mel'nikova; A. I. Filinkov. Abstract Cauchy Problem in spaces of stochastic distributions. Contemporary Mathematics. Fundamental Directions, Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2005). Part 2, Tome 16 (2006), pp. 96-109. http://geodesic.mathdoc.fr/item/CMFD_2006_16_a6/