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Some properties of generalized anticipated backward stochastic differential equations


 
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1. Title Title of document Some properties of generalized anticipated backward stochastic differential equations
 
2. Creator Author's name, affiliation, country Zhe Yang; University of Calgary; Canada
 
2. Creator Author's name, affiliation, country Robert J. Elliott; University of Calgary; Canada
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Generalized anticipated BSDEs; duality; continuous dependence property; comparison theorem
 
3. Subject Subject classification 60H10;93E03
 
4. Description Abstract In this paper, after recalling the definition of generalized anticipated backward stochastic differential equations (generalized anticipated BSDEs for short) and the existence and uniqueness theorem for their solutions, we show there is a duality between them and stochastic differential delay equations. We then provide a continuous dependence property for their solutions with respect to the parameters and finally establish a comparison result for the solutions of these equations.
 
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6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2013-07-19
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/2415
 
10. Identifier Digital Object Identifier 10.1214/ECP.v18-2415
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 18
 
12. Language English=en en
 
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