LOCAL SOLVABILITY AND CONTROLLABILITY OF SEMILINEAR INITIAL VALUE CONTROL PROBLEMS VIA SEMIGROUP APPROACH
Abstract
The aim of this paper is to prove the local existence, uniqueness and the exact controllability of the mild solutions of semilinear initial value control problems in suitable Banach spaces using semigroup theory "compact semigroup" and Schauder fixed point theorem.
Keywords
Local existence, uniqueness, exact controllability, mild solution, fixed point theorem and Semigroup theory of control problemsMetrics