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J4 ›› 2013, Vol. 48 ›› Issue (6): 14-17.

• 论文 • 上一篇    下一篇

超前倒向随机微分方程的反射解及相应的最优停止问题

许晓明   

  1. 南京师范大学数学科学学院金融与统计研究所, 江苏 南京 210023
  • 收稿日期:2012-08-09 出版日期:2013-06-20 发布日期:2013-06-09
  • 作者简介:许晓明(1982- ), 女, 讲师, 博士, 研究方向为金融数学. Email:xmxu@mail.sdu.edu.cn
  • 基金资助:

    高等学校博士学科点专项科研基金资助项目(20113207120002);数学天元基金资助项目 (11126050)

Reflected solutions of anticipated BSDEs and related  optimal stopping time problem

XU Xiao-ming   

  1. Institute of Finance and Statistics, School of Mathematical Sciences, Nanjing Normal University,
    Nanjing 210023, Jiangsu, China
  • Received:2012-08-09 Online:2013-06-20 Published:2013-06-09

摘要:

证明了超前倒向随机微分方程的反射解的存在惟一性, 进而解决了一类最优停止问题。

关键词: 超前倒向随机微分方程; 反射解; 最优停止问题

Abstract:

The existence and uniqueness of the reflected solutions of anticipated BSDEs was proved, and an optimal stopping time problem was solved as an application.

Key words:  anticipated backward stochastic differential equation; reflected solution; optimal stopping time problem

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