Extension of continuous selection sets to non-Lipschitzian quantum stochastic differential inclusion. (English) Zbl 1343.60101
Summary: We establish results on the multifunction associated with the set of solutions of a non-Lipschitz quantum stochastic differential inclusion (QSDI), which still admits a continuous selection from some subsets of complex numbers. The results here generalize existing results.
MSC:
60H99 | Stochastic analysis |
60H10 | Stochastic ordinary differential equations (aspects of stochastic analysis) |
60H20 | Stochastic integral equations |
81S25 | Quantum stochastic calculus |
Keywords:
quantum stochastic differential inclusion; continuous selection; adapted processes; generalized Lipschitz functionReferences:
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