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Generalized anticipated backward stochastic differential equations driven by Brownian motion and continuous increasing process*.

Authors :
Hao, Wu
Weifeng, Wang
Zhongkai, Guo
Source :
Communications in Statistics: Simulation & Computation. 2018, Vol. 47 Issue 3, p809-821. 13p.
Publication Year :
2018

Abstract

This article mainly considers a new class of anticipated BSDEs driven by Brownian motion and continuous increasing process, which are called generalized anticipated backward stochastic differential equations(GABSDEs). We first give the form of GABSDEs. Then, existence and uniqueness result for GABSDEs is established as well as a comparison theorem is obtained under the certain assumptions. At last, we give an application about the duality between SDDEs and GABSDEs. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03610918
Volume :
47
Issue :
3
Database :
Academic Search Index
Journal :
Communications in Statistics: Simulation & Computation
Publication Type :
Academic Journal
Accession number :
129998896
Full Text :
https://doi.org/10.1080/03610918.2017.1291966