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Neutral Backward Stochastic Functional Differential Equations and Their Application

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 نشر من قبل Wenning Wei
 تاريخ النشر 2013
  مجال البحث
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 تأليف Wenning Wei




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In this paper we are concerned with a new type of backward equations with anticipation which we call neutral backward stochastic functional differential equations. We obtain the existence and uniqueness and prove a comparison theorem. As an application, we discuss the optimal control of neutral stochastic functional differential equations, establish a Pontryagin maximum principle, and give an explicit optimal value for the linear optimal control.



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