Optimality Conditions in Control Problems for Systems Described by Equations with Monotone Operators

Resumo

Necessary and sufficient conditions of optimality are proved for some classes of constrained optimization problems with constraints in the form of operator and differential-operator equations. The optimization problems are considered subject to additional functional constraints. The Pontryagin maximum principle and the Lagrange multiplier rule are derived for the relevant problems from the optimality conditions proved in this article.