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Distributed control for cooperative systems involving parabolic operators with an infinite number of variables
Authors:Serag  H M
Institution: 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(R{infty})))n.
Keywords:cooperative systems with Dirichlet and Neumann conditions  existence and uniqueness of solutions  parabolic operators with an infinite number of variables  distributed control problems  
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