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文章基本信息

  • 标题:On Existence of Solution for Impulsive Perturbed Quantum Stochastic Differential Equations and the Associated Kurzweil Equations
  • 本地全文:下载
  • 作者:S. A. Bishop ; O. O. Agboola
  • 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
  • 期号:303
  • 页码:51-60
  • 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.
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