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arXiv · 0705.1822

Anticipated backward stochastic differential equations

Shige Peng·Zhe Yang
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Abstract

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.

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Shige Peng, Zhe Yang. 2007-05-13. Anticipated backward stochastic differential equations. https://doi.org/10.1214/08-aop423

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