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Backward stochastic evolution equations with time delay generators in Hilbert spaces. (English) Zbl 1265.60104
Summary: Recently, a new class of backward stochastic differential equations were introduced, which have time delayed generator. In this paper, we consider backward stochastic evolution equations with time delayed generators in Hilbert spaces. The existence and uniqueness of mild solutions to the equations are obtained, and some known results are developed.
MSC:
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
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