G. M. Bahaa
Mathematics Department,
Faculty of Science,
Beni-Suef University, Beni- Suef, Egypt
A time optimal control problem for infnite order parabolic equations is considered. A time optimal control problem is replaced by an equivalent one with a performance index in the form of integral form. Constraints on controls are assumed. To obtain the optimality conditions for the Neumann problem, the generalization of the Dubovitskii-Milyutin Theorem given by Walczak in Refs.[41,42] was applied.