Let be a generator of a strongly continuous semigroup of bounded linear operators in a Hilbert space . The author considers a stochastic differential equation (SDE) of the form
with non-Lipshitz coefficients satisfying the estimate of the form
for , , and a scalar function possessing some additional properties. By a Picard type approximation the existence and uniqueness of a mild solution to (1) under some additional conditions on and is proved.