Path-dependent Hamilton-Jacobi-Bellman equations related to controlled stochastic functional differential systems
arXiv:1207.1194
Abstract
In this paper, a stochastic optimal control problem is investigated in which the system is governed by a stochastic functional differential equation. In the framework of functional Itô calculus, we build the dynamic programming principle and the related Path-dependent Hamilton-Jacobi-Bellman (HJB) equation. We prove that the value function is the viscosity solution of the Path-dependent HJB equation.
We need to make a major change of this paper