OPTIMAL CONTROL PROBLEM FOR A PARABOLIC EQUATION WITH NONLOCAL INTEGRAL CONDITIONS
Keywords:
moving sources, integral identity , Hamilton-Pontryagin function, necessary optimality conditions, maximum principleAbstract
In the paper we study an optimal control problem with moving sources for a parabolic equationwith nonlocal integral conditions. For the considered optimal control problem a theorem onthe existence and uniqueness of the solution is proved, sufficient conditions of Frechet differentiabilityof the quality criterion are found, an expression for its gradient is obtained, necessary conditions for optimality in the form of pointwise and integral maximum principles are obtained.
