ABSTRACT
As we noted in the previous sections, numerous behavior patterns of systems under random perturbations suggest considering differential equations in infinite-dimensional spaces with white noise type inhomogeneities. Among problems for these equations, called abstract stochastic equations, the basic 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 ) , t ≥ 0 , 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_equ6_77.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>
