Further results on the existence,uniqueness and stability of strong solutions of quantum stochastic differential equations |
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Institution: | 1. Department of Mathematics, University of Ibadan, Ibadan, Nigeria;2. Department of Mathematical Sciences, Olabisi Onabanjo University, Ago - Iwoye, Nigeria |
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Abstract: | Under a more general Lipschitz condition on the coefficients than our consideration in E.O. Ayoola, Existence and stability results for strong solutions of quantum stochastic differential equations, Stochastic Anal. Appl. 20 (2) (2002) 263–281], we establish the existence, uniqueness and stability of strong solutions of quantum stochastic differential equations (QSDE). This enables us to exhibit a class of Lipschitzian QSDE whose coefficients are continuous on the locally convex space of solution. |
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