Soumia Saidi1 and Mustapha Fateh Yarou1 *
Author Address :
1 LMPA Laboratory, Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel-18000, Algeria.
The paper deals with an optimal control problem governed by a state equation which involves evolution inclusions. These inclusions are formulated through time-dependent maximal monotone operators and the control variable runs in a suitable class of Young measures. We show, in the finite dimensional setting, that the value function of the problem is a viscosity solution of the Hamilton-Jacobi-Bellman problem.
Maximal monotone operator, evolution inclusion, Young measure, control, value function, viscosity solution.
Article Info :
Received : July 11, 2018; Accepted : December 12, 2018.