期刊名称:IMPACT : International Journal of Research in Applied, Natural and Social Sciences
印刷版ISSN:2347-4580
电子版ISSN:2321-8851
出版年度:2014
卷号:2
期号:1
页码:51-60
语种:English
出版社:IMPACT Journals
摘要: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.