Solvability of Semilinear Initial Value Perturbed Control Problems with Unbounded Control Operators

Abstract

In this paper the local existence and uniqueness of the mild solution to some operatorsemi-linear initial value control problem were studied and developed by using thetheory of perturbation, composite, admissibility and "Banach contraction principle", inarbitrary Hilbert space H via perturbation composite semigroup approach.