OPTIMAL CONTROL OF SEMILINEAR PARABOLIC EQUATIONS WITH κ-APPROXIMATE PERIODIC SOLUTIONS.

In this paper, we study some optimal control problems governed by certain semilinear parabolic equations with K-approximate periodic solutions. We first prove the existence and uniqueness theorems for K-approximate periodic solutions of the equations. We then use these results to establish the qualified Pontryagin maximum principle. The existence for such optimal controls is also investigated in the paper. [ABSTRACT FROM AUTHOR]