Anticipated backward stochastic differential equations with non-Lipschitz coefficients

被引:1
作者
Zhou, Huihui [1 ]
Han, Yun [1 ]
Feng, Zhiguo [1 ]
Yuan, Rui [1 ]
机构
[1] Guangdong Ocean Univ, Dept Math & Appl Math, Zhanjiang, Guangdong, Peoples R China
关键词
Anticipated backward stochastic differential equations; Non-Lipschitz conditions; Adapted solutions; Biochemical reaction; DELAY;
D O I
10.1007/s10910-020-01211-5
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
This paper deals with a class of anticipated backward stochastic differential equations. We extend results of Peng and Yang (2009) to the case in which the generator satisfies Non-Lipschitz conditions. The existence and uniqueness of solution are obtained.
引用
收藏
页码:516 / 528
页数:13
相关论文
共 24 条
[1]  
Aman A., 2003, J APPL MATH STOCH AN, V16, P295
[2]   Backward stochastic differential equations with locally Lipschitz coefficient [J].
Bahlali, K .
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2001, 333 (05) :481-486
[3]   EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR BSDES WITH LOCALLY LIPSCHITZ COEFFICIENT [J].
Bahlali, Khaled .
ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2002, 7 :169-179
[4]  
BARTHOLOMAY ANTHONY F., 1958, BULL MATH BIOPHYS, V20, P175, DOI 10.1007/BF02478297
[5]  
BARTHOLOMAY ANTHONY F., 1959, BULL MATH BIOPHYS, V21, P363, DOI 10.1007/BF02477895
[6]   Backward stochastic differential equations in finance [J].
El Karoui, N ;
Peng, S ;
Quenez, MC .
MATHEMATICAL FINANCE, 1997, 7 (01) :1-71
[7]   Analysis of stochastic multimolecular biochemical reaction model with levy jumps [J].
Gao, Miaomiao ;
Jiang, Daqing .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 524 :601-613
[8]   Multidimensional backward stochastic differential equations with uniformly continuous coefficients [J].
Hamadène, S .
BERNOULLI, 2003, 9 (03) :517-534
[9]  
Hu Y, 1997, SENSORS SER, P59
[10]   Backward stochastic differential equations with continuous coefficient [J].
Lepeltier, JP ;
SanMartin, J .
STATISTICS & PROBABILITY LETTERS, 1997, 32 (04) :425-430