existence and uniqueness of solutions of a class of quantum stochastic evolution equations

We study the existence and uniqueness of solutions of a class of quantum stochastic evolution equations (qsees) defined on a locally convex space whose topology is generated by a family of seminorms defined via the norm of the range space of the operator processes. these solutions are called strong solutions in comparison with the solutions of similar equations defined on the space of operator processes where the topology is generated by the family of seminorms defined via the inner product of the range space. the evolution operator generates a bounded semigroup. we show that under some more general conditions, the unique solution is stable. these results extend some existing results in the literature concerning strong solutions of quantum stochastic differential equations.