It is proved that it is possible to obtain continuum deterministic and stochastic evolution equations from a set of …

In this paper we derive for a controlled stochastic evolution system on a Hilbert space sufficient conditions for … optimality. Our result is derived by using its so-called adjoint backward stochastic evolution equation. …

The paper studies semilinear stochastic evolution equations in a real Hilbert space. The main goal is to consider the …

We study existence, uniqueness and mass conservation of signed measure valued solutions of a class of stochastic … evolution equations with respect to the Wiener sheet, including as particular cases the stochastic versions of the regularized …

previous time steps. Among them, the continuum stochastic evolution equation of the Newton second law, the stochastic evolution … equation of a wave equation, the stochastic evolution equation for the scalar meson field, etc. are obtained as special cases …

limited authority to assure that compliance prevails in the long run under stochastic evolution. …