On Maximal and Minimal Solutions for Set-Valued Differential Equations with Feedback Control.

In this paper, we present the existence of extremal solutions of set-valued differential equations with feedback control on semilinear Hausdorff space under Hukuhara derivative which is developed under the form DHX(t) = F(t,X(t),H(t,X(t))), X(0) = X0, for allt € [0,T] with the monotone iterative technique and we will verify that monotone sequence of approximate solutions converging uniformly to the solution of the problem, that is useful for optimization problems. [ABSTRACT FROM AUTHOR]