Classical Solutions of Path-Dependent PDEs and Functional Forward-Backward Stochastic Systems

In this paper we study the relationship between functional forward-backward stochastic systems and path-dependent PDEs. In the framework of functional Itô calculus, we introduce a path-dependent PDE and prove that its solution is uniquely determined by a functional forward-backward stochastic system...

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Bibliographic Details
Main Authors: Shaolin Ji, Shuzhen Yang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/423101