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
来源
2011 30TH CHINESE CONTROL CONFERENCE (CCC) | 2011年
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
  • [31] MEAN-FIELD BACKWARD STOCHASTIC VOLTERRA INTEGRAL EQUATIONS
    Shi, Yufeng
    Wang, Tianxiao
    Yong, Jiongmin
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2013, 18 (07): : 1929 - 1967
  • [32] Mean-Field Forward-Backward Doubly Stochastic Differential Equations and Related Nonlocal Stochastic Partial Differential Equations
    Zhu, Qingfeng
    Shi, Yufeng
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [33] Existence Solution for Fractional Mean-Field Backward Stochastic Differential Equation with Stochastic Linear Growth Coefficients
    Saouli M.A.
    Mendel, 2023, 29 (02) : 211 - 219
  • [34] Mean-field type forward-backward doubly stochastic differential equations and related stochastic differential games
    Qingfeng Zhu
    Lijiao Su
    Fuguo Liu
    Yufeng Shi
    Yong’ao Shen
    Shuyang Wang
    Frontiers of Mathematics in China, 2020, 15 : 1307 - 1326
  • [35] Mean-field type forward-backward doubly stochastic differential equations and related stochastic differential games
    Zhu, Qingfeng
    Su, Lijiao
    Liu, Fuguo
    Shi, Yufeng
    Shen, Yong'ao
    Wang, Shuyang
    FRONTIERS OF MATHEMATICS IN CHINA, 2020, 15 (06) : 1307 - 1326
  • [36] Controlled mean-field backward stochastic differential equations with jumps involving the value function
    Juan Li
    Hui Min
    Journal of Systems Science and Complexity, 2016, 29 : 1238 - 1268
  • [37] NUMERICAL SCHEMES FOR FULLY COUPLED MEAN-FIELD FORWARD BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS
    Sun, Yabing
    Zhao, Weidong
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2023, 16 (05): : 1006 - 1020
  • [38] Controlled Mean-Field Backward Stochastic Differential Equations with Jumps Involving the Value Function
    Li Juan
    Min Hui
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2016, 29 (05) : 1238 - 1268
  • [39] Linear Quadratic Optimal Control Problems for Mean-Field Backward Stochastic Differential Equations
    Li, Xun
    Sun, Jingrui
    Xiong, Jie
    APPLIED MATHEMATICS AND OPTIMIZATION, 2019, 80 (01): : 223 - 250
  • [40] Controlled Mean-Field Backward Stochastic Differential Equations with Jumps Involving the Value Function
    LI Juan
    MIN Hui
    JournalofSystemsScience&Complexity, 2016, 29 (05) : 1238 - 1268