A General Optimality Conditions for Stochastic Control Problems of Jump Diffusions |
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Authors: | Seid Bahlali Adel Chala |
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Affiliation: | 1. Laboratory of Applied Mathematics, University Med Khider, P.O. Box 145, Biskra, 07000, Algeria
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Abstract: | We consider a stochastic control problem where the system is governed by a non linear stochastic differential equation with jumps. The control is allowed to enter into both diffusion and jump terms. By only using the first order expansion and the associated adjoint equation, we establish necessary as well as sufficient optimality conditions of controls for relaxed controls, who are a measure-valued processes. |
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