Abstract
In the paper two kinds of optimal control problems of hyperbolic systems with additional equality constraints are considered: a problem with the operator equality constraint in the form of terminal condition and a problem with nonoperator equality constraint in the u(.)ε U where - some set. The extremum principles are proved: for the first problem - by using some specification of the Dubovitskii-Milyutin method in the case of n equality constraints in the operator form and for the second one - by using some generalization of the Dubovitskii-Milyutin theory
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