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Existence, Uniqueness and Stability of Mild Solution of Lipschitzian Quantum Stochastic Differential Equations

Bishop, S.A. and Agarana, M. C. and Agboola, O.O. and Oghonyon, G.J. and Anake, T. A. (2014) Existence, Uniqueness and Stability of Mild Solution of Lipschitzian Quantum Stochastic Differential Equations. Advances in Differential Equations and Control Processes, 14 (2). pp. 89-106.

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Abstract

We introduce the concept of a mild solution of Lipschitzian quantum stochastic differential equations (QSDEs). Results on existence,uniqueness and stability of mild solution of QSDEs are established. This is accomplished within the framework of the Hudson-Parthasarathy formulation of quantum stochastic calculus. Here, the results on a mild solution are weaker compared with the ones in the literature.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Dr Jimevwo Godwin Oghonyon
Date Deposited: 09 Mar 2017 12:08
Last Modified: 09 Mar 2017 12:08
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/6206

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