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arxiv: 0910.0950 · v2 · pith:WU5NLZU3new · submitted 2009-10-06 · 🧮 math.PR

Strong solutions for stochastic differential equations with jumps

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keywords equationsstochasticjumpssolutionsstrongappliedconditionscriteria
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General stochastic equations with jumps are studied. We provide criteria for the uniqueness and existence of strong solutions under non-Lipschitz conditions of Yamada-Watanabe type. The results are applied to stochastic equations driven by spectrally positive L\'evy processes.

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