On Existence of Solution for Impulsive Perturbed Quantum Stochastic Differential Equations and the Associated Kurzweil Equations
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Existence of solution of impulsive Lipschitzian quantum stochastic differential equations (QSDEs) associated
with the Kurzweil equations are introduced and studied. This is accomplished within the framework of the
Hudson-Parthasarathy formulation of quantum stochastic calculus and the associated Kurzweil equations. Here again, the
solutions of a QSDE are functions of bounded variation, that is they have the same properties as the Kurzweil equations
associated with QSDEs introduced in [1, 4]. This generalizes similar results for classical initial value problems to the
noncommutative quantum setting.
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QA Mathematics