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Existence of mild solution of impulsive quantum stochastic differential equation with nonlocal conditions

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Abstract

New results on existence and uniqueness of solution of impulsive quantum stochastic differential equation with nonlocal conditions are established. The nonlocal conditions are completely continuous. The methods applied here are simple extension of the methods applied in the classical case to this noncummutative quantum setting.

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Authors and Affiliations

  1. Department of Mathematics, Covenant University, Ota, Ogun State, Nigeria

    S. A. Bishop & G. J. Oghonyon

  2. Department of Mathematics, University of Ibadan, Ibadan, Oyo State, Nigeria

    E. O. Ayoola

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  1. S. A. Bishop
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  2. E. O. Ayoola
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  3. G. J. Oghonyon
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Correspondence to S. A. Bishop.

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Bishop, S.A., Ayoola, E.O. & Oghonyon, G.J. Existence of mild solution of impulsive quantum stochastic differential equation with nonlocal conditions. Anal.Math.Phys. 7, 255–265 (2017). https://doi.org/10.1007/s13324-016-0140-x

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  • DOI: https://doi.org/10.1007/s13324-016-0140-x

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