Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt
Abstract:
** Email: serraghm{at}yahoo.com The optimal control for cooperative systems involving parabolicoperators with an infinite number of variables is considered.First the existence and uniqueness of the states are proved;then the necessary and sufficient condition for the controlto be optimal is obtained by a set of inequalities. The controlin our problems is of distributed type and is allowed to bein the Hilbert space (L2(0, T, L2()))n.