Optimalitätsbedingungen für Prozesse in Evolutionsgleichungen $n$-ter Ordnung

Abstract

This paper deals with optimal control problems governed by nonlinear abstract ordinary differential equations of higher order with initial conditions. The considered evolution equations of higher order can be transformed into evolution equations of first order and can be soved then using the theory of monotone operators. For the control problems necessary optimality conditions are derived which are also sufficient in a special ease.