On the Pathwise Uniqueness of Solutions of One-dimensional Reflected Stochastic Differential Equations with Jumps

被引:0
作者
Hua Zhang
机构
[1] Jiangxi University of Finance and Economics,School of Statistics and Data Science & Key Laboratory of Data Science in Finance and Economics
来源
Acta Mathematicae Applicatae Sinica, English Series | 2024年 / 40卷
关键词
reflected diffusion processes with jumps; pathwise uniqueness; local time; Meyer Itô’s formula; 60H10;
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学科分类号
摘要
In this paper, we are concerned with the problem of the pathwise uniqueness of one-dimensional reflected stochastic differential equations with jumps under the assumption of non-Lipschitz continuous coefficients whose proof are based on the technique of local time.
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页码:149 / 163
页数:14
相关论文
共 12 条
[1]  
Belfadli R(2009)On one-dimensional stochastic differential equations involving the maximum process Stoch. Dynam. 9 277-292
[2]  
Hamadène S(2009)An extension of the Yamada-Watanabe condition for pathwise uniqueness to stochastic differential equations with jumps Electron. Commun. Probab. 14 447-456
[3]  
Ouknine Y(2004)On stochastic differential equations with reflecting boundary condition in convex domains Bull. Pol. Acad. Sci. Math. 52 445-455
[4]  
Höpfner R(2013)The optimal control problem associated with multi-valued stochastic differential equations with jumps Nonlinear Anal. 86 30-51
[5]  
Laukajtys W(2011)Uniform large deviation for multivalued stochastic differenital equations with jumps Kyoto J. Math. 51 535-559
[6]  
Ren J(2013)On Wiener-Poisson type multivalued stochastic differential equations with non-Lipschitz coefficients Acta Math. Sin. (Engl. Ser.) 29 675-690
[7]  
Wu J(2009)Discrete approximations of strong solutions of reflecting SDEs with discontinuous coefficients Bull. Pol. Acad. Sci. Math. 57 169-180
[8]  
Wu J(1994)On approximations of solutions of multidimensional sde’s with reflecting boundary conditions Stochastic Process. Appl. 50 197-219
[9]  
Wu J(2014)Stochastic variational inequalities with jumps Stochastic Process. Appl. 124 785-811
[10]  
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