QUANTUM STOCHASTIC DIFFERENTIAL INCLUSIONS SATISFYING A GENERAL LIPSCHITZ CONDITION

We establish further results concerning the existence and non-uniqueness of solutions of quantum stochastic differential inclusions in the framework of Hudson and Parthasarathy formulation of quantum stochastic calculus. Our results are established by considering a general Lipschitz condition on the coefficients of the inclusion. We present examples of continuous multivalued maps satisfying the general Lipschitz condition in the sense of this paper.