On the existence of solutions to BSDEs with generalized uniformly continuous generators

被引:3
作者
Tian, Dejian [1 ]
Jiang, Long [1 ]
Davison, Matt [2 ]
机构
[1] China Univ Min & Technol, Dept Math, Xuzhou 221116, Peoples R China
[2] Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada
关键词
STOCHASTIC DIFFERENTIAL-EQUATIONS; THEOREM;
D O I
10.1016/j.spl.2010.01.026
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
This paper proves an existence result for a kind of backward stochastic differential equation whose generators satisfy generalized uniformly continuous conditions in variables y and z. It is worth noting that the conditions mentioned above may not be uniform with respect to time parameter t. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:903 / 909
页数:7
相关论文
共 50 条
[31]   Representation Theorems for Generators of BSDEs in Lp Spaces [J].
Song, Li ;
Hu, Feng ;
Chen, Zeng-jing .
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2012, 28 (02) :255-264
[32]   A representation theorem for generators of BSDEs with general growth generators in y and its applications [J].
Xiao, Lishun ;
Fan, Shengjun .
STATISTICS & PROBABILITY LETTERS, 2017, 129 :297-305
[33]   Lp (p > 1) Solutions of BSDEs with Generators Satisfying Some Non-uniform Conditions in t and ω [J].
Liu, Yajun ;
Li, Depeng ;
Fan, Shengjun .
CHINESE ANNALS OF MATHEMATICS SERIES B, 2020, 41 (03) :479-494
[34]   RADNER EQUILIBRIUM AND SYSTEMS OF QUADRATIC BSDES WITH DISCONTINUOUS GENERATORS [J].
Escauriaza, Luis ;
Schwarz, Daniel C. ;
Xing, Hao .
ANNALS OF APPLIED PROBABILITY, 2022, 32 (05) :3492-3536
[35]   Approximation of BSDEs with super-linearly growing generators by Euler's polygonal line method: A simple proof of the existence [J].
Li, Yunzhang ;
Tang, Shanjian .
SYSTEMS & CONTROL LETTERS, 2021, 153
[36]   Existence and uniqueness of weak solutions for a non-uniformly parabolic equation [J].
Cai, Yongyong ;
Zhou, Shulin .
JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 257 (10) :3021-3042
[37]   Multidimensional BSDEs with weak monotonicity and general growth generators [J].
Fan, Sheng Jun ;
Jiang, Long .
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (10) :1885-1906
[38]   An existence theorem for multidimensional BSDEs with mixed reflections [J].
Xu, Yuhong .
COMPTES RENDUS MATHEMATIQUE, 2016, 354 (11) :1101-1108
[39]   A type of globally solvable BSDEs with triangularly quadratic generators [J].
Luo, Peng .
ELECTRONIC JOURNAL OF PROBABILITY, 2020, 25 :1-23
[40]   Limit Theorems and Converse Comparison Theorems for Generators of BSDEs [J].
Zheng, Shiqiu ;
He, Yali ;
Yang, Aimin ;
Guo, Xiaoqiang ;
Wang, Ling .
INFORMATION COMPUTING AND APPLICATIONS, PT II, 2011, 244 :49-56