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由Lvy过程驱动的反射型倒向随机微分方程(英文)
Reflected Backward Stochastic Differential Equations Driven by a Lvy Process
【摘要】 本文给出了由Levy过程驱动的反射型倒向随机微分方程解的存在唯一性,其中反射壁是右连左极且跳跃是任意的.为了证明上述结论,我们建立了由Levy过程驱动的倒向随机微分方程的单调极限定理.
【Abstract】 In this paper,we prove the existence and uniqueness of solutions for reflected backward stochastic differential equations driven by a Levy process,in which the reflecting barriers are just right continuous with left limits whose jumps are arbitrary.To derive the above results,the monotonic limit theorem of Backward SDE associated with Levy process is established.
【关键词】 反射型倒向随机微分方程;
Teugels鞅;
惩罚方法;
单调极限定理;
Snell包络;
【Key words】 reflected backward stochastic differential equation; Teugels martingale; penalization method; monotonic limit theorem; Snell envelope;
【Key words】 reflected backward stochastic differential equation; Teugels martingale; penalization method; monotonic limit theorem; Snell envelope;
【基金】 supported by the Natural Science Foundation of Anhui Province(1508085QA03);the Distinguished Young Scholars Foundation of Anhui Province(1608085J06);the National Natural Science Foundation of China(11501009,11371029)
- 【文献出处】 应用概率统计 ,Chinese Journal of Applied Probability and Statistics , 编辑部邮箱 ,2016年02期
- 【分类号】O211.63
- 【被引频次】1
- 【下载频次】55