Dissipative stochastic equations in Hilbert space with time dependent coefficients

We prove existence and, under an additional assumption, uniqueness of an evolution system of measures (nu(t))(t is an element of R) for a stochastic differential equation with time dependent dissipative coefficients. We prove that if P-s,P-t denotes the corresponding transition evolution operator, then P-s,P- t phi behaves asymptotically as t -> +infinity like a limit curve (which is independent of s) for any continuous and bounded "observable" phi.