publication . Preprint . 2013

Neutral Backward Stochastic Functional Differential Equations and Their Application

Wei, Wenning;
Open Access English
  • Published: 14 Jan 2013
Abstract
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.
Subjects
ACM Computing Classification System: ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
free text keywords: Mathematics - Optimization and Control
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