General mean-field backward stochastic differential equations with discontinuous coefficients

被引:0
|
作者
Wang, Jinghan [1 ]
Zhao, Nana [2 ]
Shi, Yufeng [1 ,2 ]
机构
[1] Shandong Univ, Inst Financial Studies, Jinan 250100, Peoples R China
[2] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
基金
中国国家自然科学基金; 国家重点研发计划;
关键词
Backward stochastic differential equations; Comparison theorem; Mean-field; Wasserstein metric;
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 deal with a general type of one-dimensional mean-field backward stochastic differential equations (general mean-field BSDEs, in short) whose coefficient may be discontinuous in y, continuous in mu and z. We prove the existence of the solutions of such general mean-field BSDEs under some conditions we set.
引用
收藏
页码:1287 / 1292
页数:6
相关论文
共 50 条
  • [1] Mean-field backward stochastic differential equations with discontinuous coefficients
    Li Li
    Han Yuqiao
    [J]. 2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2013, : 5021 - 5026
  • [2] Mean-Field Backward Stochastic Differential Equations With Continuous Coefficients
    Du Heng
    Li Juan
    Wei Qingmeng
    [J]. 2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 1312 - 1316
  • [3] Mean-field backward stochastic differential equations in general probability spaces
    Lu, Wen
    Ren, Yong
    Hu, Lanying
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 263 : 1 - 11
  • [4] MEAN-FIELD REFLECTED BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS
    Djehiche, Boualem
    Elie, Romuald
    Hamadene, Said
    [J]. ANNALS OF APPLIED PROBABILITY, 2023, 33 (04): : 2493 - 2518
  • [5] Mean-field backward stochastic differential equations and applications
    Agram, Nacira
    Hu, Yaozhong
    oksendal, Bernt
    [J]. SYSTEMS & CONTROL LETTERS, 2022, 162
  • [6] Mean-field reflected backward stochastic differential equations
    Li, Zhi
    Luo, Jiaowan
    [J]. STATISTICS & PROBABILITY LETTERS, 2012, 82 (11) : 1961 - 1968
  • [7] Mean-field backward stochastic differential equations and related partial differential equations
    Buckdahn, Rainer
    Li, Juan
    Peng, Shige
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2009, 119 (10) : 3133 - 3154
  • [8] Anticipated mean-field backward stochastic differential equations with jumps∗
    Tao Hao
    [J]. Lithuanian Mathematical Journal, 2020, 60 : 359 - 375
  • [9] Anticipated mean-field backward stochastic differential equations with jumps*
    Hao, Tao
    [J]. LITHUANIAN MATHEMATICAL JOURNAL, 2020, 60 (03) : 359 - 375
  • [10] Mean-field Backward Stochastic Differential Equations with Quadratic Growth
    Yan, Hao
    Zhao, Nana
    [J]. PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC), 2019, : 1437 - 1444