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IMA Journal of Mathematical Control and Information Advance Access originally published online on March 10, 2007
IMA Journal of Mathematical Control and Information 2008 25(1):37-48; doi:10.1093/imamci/dnm002
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© The author 2007. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Optimal control problems of parabolic equations with an infinite number of variables and with equality constraints

G. M. Bahaa{dagger}

Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

{dagger} Email: bahaa_gm{at}hotmail.com

Received on December 6, 2005; Accepted on December 7, 2006

Optimal control problems of systems governed by parabolic equations with an infinite number of variables and with additional equality constraints are considered. The extremum principle, as well as sufficient condition of optimality, is formulated for the Neumann problem by using certain extensions of Dubovitskii–Milyutin method.

Keywords: optimal control problems; parabolic equations with an infinite number of variables; equality constraints; Dubovitskii–Milyutin theorem; conical approximations; optimality conditions.


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