ABSTRACT
We continue to study infinite-dimensional stochastic Cauchy problems, now in spaces of distributions. These problems arise in numerous applications as mathematical models reflecting random influence of white noise type on systems that are under consideration. Among the problems, the important one is the Cauchy problem (P.1) in Hilbert spaces H, ℍ: https://www.w3.org/1998/Math/MathML"> X ′ ( t ) = A X ( t ) + F ( t , X ) + B ( t , X ) 𝕎 ( t ) , t ∈ [ 0 , T ] , X ( O ) = ζ , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315372631/8d241a72-5734-4f91-861d-00f78934b0a5/content/math_unequ5_1.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>
