@article{Vlasenko_2002, title={Equations with Random Gaussian Operators with Unbounded Mean Value}, volume={54}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/4052}, abstractNote={We consider an equation in a Hilbert space with a random operator represented as a sum of a deterministic, closed, densely defined operator and a Gaussian strong random operator. We represent a solution of an equation with random right-hand side in terms of stochastic derivatives of solutions of an equation with deterministic right-hand side. We consider applications of this representation to the anticipating Cauchy problem for a stochastic partial differential equation.}, number={2}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={Vlasenko, M. A.}, year={2002}, month={Feb.}, pages={170-177} }