Journal of the
Korean Mathematical Society JKMS

In this paper we deal with the optimal control problem for the semilinear functional differential equations with unbounded delays. We will also establish the regularity for solutions of the given system. By using the penalty function method we derive the optimal conditions for optimality of an admissible state-control pairs.

Keywords: retarded semilinear differential equations, optimal pairs, penalty function, optimal conditions

MSC numbers: Primary 35B37; Secondary 93C20