Mathematics – Probability
Scientific paper
2007-05-13
Annals of Probability 2009, Vol. 37, No. 3, 877-902
Mathematics
Probability
Published in at http://dx.doi.org/10.1214/08-AOP423 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of
Scientific paper
10.1214/08-AOP423
In this paper we discuss new types of differential equations which we call anticipated backward stochastic differential equations (anticipated BSDEs). In these equations the generator includes not only the values of solutions of the present but also the future. We show that these anticipated BSDEs have unique solutions, a comparison theorem for their solutions, and a duality between them and stochastic differential delay equations.
Peng Shige
Yang Zhe
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