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Modern Stochastics: Theory and Applications*

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Strong uniqueness of solutions of stochastic differential equations with jumps and non-Lipschitz random coefficients
Volume 1, Issue 1 (2014), pp. 65–72
G. Kulinich   S. Kushnirenko  

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https://doi.org/10.15559/MSTA-2014.1.1.6
Pub. online: 27 June 2014      Type: Research Article      Open accessOpen Access

Received
7 October 2013
Revised
25 May 2014
Accepted
5 June 2014
Published
27 June 2014

Abstract

In the paper we establish strong uniqueness of solution of a system of stochastic differential equations with random non-Lipschitz coefficients that involve both the square integrable continuous vector martingales and centered and non-centered Poisson measures.

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Keywords
Stochastic differential equations non-Lipschitz coefficients Poisson measure uniqueness of a solution

MSC2010
60H10 60G44

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