# Equations with Random Gaussian Operators with Unbounded Mean Value

### Abstract

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.
Published

25.02.2002

How to Cite

*Ukrains’kyi Matematychnyi Zhurnal*, Vol. 54, no. 2, Feb. 2002, pp. 170-7, https://umj.imath.kiev.ua/index.php/umj/article/view/4052.

Issue

Section

Research articles