The goal of this paper is to provide systematic approaches to study new results of optimal feedback control for second-order evolution equations. We firstly give some existence results of mild solutions for the equations by applying the Banach’s fixed point theorem and the Leray-Schauder alternative fixed point theorem with Lipschitz conditions and different types of boundedness conditions. Next, by using the Filippove theorem and the Cesari property, a new set of sufficient assumptions are formulated to guarantee the existence results of feas...
