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非Lipschitz条件下半鞅随机微分方程解的唯一性(英文) 被引量:4

UNIQUENESS OF SOLUTIONS TO SDES DRIVEN BY SEMIMARTINGALE WITH NON-LIPSCHITZ CONDITIONS
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摘要 本文研究了非Lipschitz条件下半鞅随机微分方程.利用It分析和Gronwall不等式,探讨了随机微分方程无爆炸解,并证明了随机微分方程解的唯一性. In this article,a class of stochastic differential equations(SDEs) driven by semi-martingale with non-Lipschitz coefficients is studied.By using Ito calculus and Gronwall inequality, no explosion on the solution of SDEs is investigated.A pathwise uniqueness of solutions is proved.
作者 费为银
出处 《数学杂志》 CSCD 北大核心 2010年第3期395-400,共6页 Journal of Mathematics
基金 Supported by National Basic Research Program of China(973 Program 2007CB814901) National Natural Science Foundation of China(10826098) Anhui Natural Science Foundation (090416225)
关键词 随机微分方程 GRONWALL引理 路径唯一性 非LIPSCHITZ条件 半鞅 stochastic differential equations Gronwall lemma pathwise uniqueness non-Lipschitz conditions semimartingale
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参考文献6

  • 1Fang Shizan,Zhang Tusheng.A study of a class of stochastic differential equations with nonLipschitzian coemcients[J].Probab.Theory Relat.Fields,2005,132:356-390.
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