Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
Abstract:
Email: bahaa_gm{at}hotmail.comReceived on December 6, 2005; Accepted on December 7, 2006 Optimal control problems of systems governed by parabolic equationswith an infinite number of variables and with additional equalityconstraints are considered. The extremum principle, as wellas sufficient condition of optimality, is formulated for theNeumann problem by using certain extensions of Dubovitskii–Milyutinmethod.