Reflected BSDEs with random default time and related mixed optimal stopping-control problems | |
Guo Dongmei2; Xu Xiaoming1 | |
刊名 | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
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2013 | |
卷号 | 29期号:1页码:165-178 |
关键词 | STOCHASTIC DIFFERENTIAL-EQUATIONS RISK backward stochastic differential equation random default time mixed optimal stopping-control problem |
ISSN号 | 0168-9673 |
其他题名 | Reflected BSDEs with Random Default Time and Related Mixed Optimal Stopping-control Problems |
英文摘要 | In this paper we study the one-dimensional reflected backward stochastic differential equations which are driven by Brownian motion as well as a mutually independent martingale appearing in a defaultable setting. Using a penalization method, we prove the existence and uniqueness of the solutions to these equations. As an application, we show that under proper assumptions the solution of the reflected equation is the value of the related mixed optimal stopping-control problem. |
资助项目 | [Humanities and Social Science Research Youth Fund of the Ministry of Education] ; [Economic and Financial Research Department, National Centre for Mathematics and interdisciplinary Sciences, CAS] ; [Innovative Research Team Support Program of Central University of Finance and Economics] ; [Mathematical Tianyuan Foundation of China] ; [Specialized Research Fund for the Doctoral Program of Higher Education of China] |
语种 | 英语 |
CSCD记录号 | CSCD:4787297 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/53533] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
作者单位 | 1.中国科学院南京地理与湖泊研究所 2.Cent University Finance & Econ, Sch Econ, Beijing 100081, Peoples R China 3.中国科学院数学与系统科学研究院 |
推荐引用方式 GB/T 7714 | Guo Dongmei,Xu Xiaoming. Reflected BSDEs with random default time and related mixed optimal stopping-control problems[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2013,29(1):165-178. |
APA | Guo Dongmei,&Xu Xiaoming.(2013).Reflected BSDEs with random default time and related mixed optimal stopping-control problems.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,29(1),165-178. |
MLA | Guo Dongmei,et al."Reflected BSDEs with random default time and related mixed optimal stopping-control problems".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 29.1(2013):165-178. |
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