CONTROL DIFFUSION PROCESSES WITH LIPSCHITZ CONTINUITY OF DRIFTS

Abstract: Control diffusion processes has been found in a wide field of applications as in stochastic optimal control and in mathematical finance via the theory ofhedging and nonlinear pricing theory for imperfect markets. In this paper we discuss the control diffusion process with time and space dependent coefficients and localLipschitz continuity of the drift. The results show that the controlled process Xt s;ΞΎ;u is independent of control u for a constant.
Keywords: Stochastic Differential Equations, Lipschitz continuity, Control Diffusion Process
Author: Komang Dharmawan
Journal Code: jpmatematikagg120007

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