Optimal Control of Functional-Differential Equations of Parabolic Type in Banach Spaces.

We study the problem of optimal control for a class of evolutionary parabolic functional-differential equations in Banach spaces. Sufficient conditions for the existence of an optimal pair are established. Note that the main problem of optimal control is considered up to the time of exit of the solution from the domain, which distinguishes the analyzed problem from the other investigations. [ABSTRACT FROM AUTHOR]