  In this paper, we study the existence of solution for stochastic evolution
equations with almost sectorial operators and possibly a non dense domain. Such
problems cover several types of evolution equations, we are interested here in
particular in evolution equations with non-homogenous boundary conditions of
white noise type. We obtain the existence and uniqueness of mild solutions in
state space using the integrated semigroup theory. The results are applied to
stochastic parabolic equations with Neumann boundary conditions.
