Mean-Field Backward Stochastic Differential Equations With Continuous Coefficients

被引:0
|
作者
Du Heng [1 ]
Li Juan [1 ]
Wei Qingmeng
机构
[1] Shandong Univ, Sch Math & Stat, Weihai 264209, Peoples R China
关键词
Mean-field backward stochastic differential equations; Comparison theorem;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper we consider the existence result of one dimensional mean-field backward stochastic differential equations (MFBSDEs) when their coefficients are continuous, non-decreasing in y', and have a linear growth. We get an existence of the minimal solution and a comparison theorem for such kind of MFBSDEs.
引用
收藏
页码:1312 / 1316
页数:5
相关论文
共 50 条
  • [1] Mean-field backward stochastic differential equations with discontinuous coefficients
    Li Li
    Han Yuqiao
    2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2013, : 5021 - 5026
  • [2] General mean-field backward stochastic differential equations with discontinuous coefficients
    Wang, Jinghan
    Zhao, Nana
    Shi, Yufeng
    2022 41ST CHINESE CONTROL CONFERENCE (CCC), 2022, : 1287 - 1292
  • [3] Mean-field backward stochastic differential equations with uniformly continuous generators
    Guo Hancheng
    Ren Xiuyun
    26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC), 2014, : 241 - 246
  • [4] Mean-field backward stochastic differential equations with uniformly continuous generators
    Hancheng, Guo
    Xiuyun, Ren
    Journal of Control and Decision, 2015, 2 (02) : 142 - 154
  • [5] MEAN-FIELD REFLECTED BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS
    Djehiche, Boualem
    Elie, Romuald
    Hamadene, Said
    ANNALS OF APPLIED PROBABILITY, 2023, 33 (04): : 2493 - 2518
  • [6] Mean-field backward stochastic differential equations and applications
    Agram, Nacira
    Hu, Yaozhong
    oksendal, Bernt
    SYSTEMS & CONTROL LETTERS, 2022, 162
  • [7] Mean-field reflected backward stochastic differential equations
    Li, Zhi
    Luo, Jiaowan
    STATISTICS & PROBABILITY LETTERS, 2012, 82 (11) : 1961 - 1968
  • [8] Mean-field backward stochastic differential equations driven by G-Brownian motion with uniformly continuous coefficients
    Sun, Shengqiu
    APPLICABLE ANALYSIS, 2022, 101 (14) : 5053 - 5075
  • [9] General mean-field reflected backward stochastic differential equations with locally monotone coefficients
    Fu, Zongkui
    Fei, Dandan
    STATISTICS & PROBABILITY LETTERS, 2025, 216
  • [10] Mean-field backward stochastic differential equations and related partial differential equations
    Buckdahn, Rainer
    Li, Juan
    Peng, Shige
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2009, 119 (10) : 3133 - 3154