Well-posedness of Stratonovich multi-valued SDEs driven by semimartingales

Well-posedness of Stratonovich multi-valued SDEs driven by semimartingales
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半鞅驱动的 Stratonovich 多值 SDE 的适定性

DOI:
10.1142/s0219493714500051
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发表时间:
2014-09
影响因子:
1.1
通讯作者:
Jing Wu
Jing Wu
中科院分区:
数学4区
文献类型:
--
作者:
Jing Wu

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本文考虑了一般半鞅驱动的Stratonovich型多值随机微分方程。基于连续半鞅的多值随机微分方程解的存在唯一性结果,利用随机时变和逼近技巧,证明了一般可和跳跃半鞅驱动的Stratonovich型多值随机微分方程解的存在唯一性.
In this paper we consider Stratonovich type multi-valued stochastic differential equations (MSDEs) driven by general semimartingales. Based on an existence and uniqueness result for MSDEs with respect to continuous semimartingales, we apply the random time change and approximation technique to prove existence and uniqueness of solutions to Stratonovich type multi-valued SDEs driven by general semimartingales with summable jumps.
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