Controllability of Nonlinear Boundary Value Control Systems in Banach Spaces Using Schauder Fixed Point Theorem

Abstract

In this paper, sufficient conditions for controllability of nonlinear boundary value control system in Banach spaces are established. The results are obtained by using semigroup theory "compact semigroup"and some techniques of nonlinear functional analysis, such as, Schauder fixed point theorem. Moreover, example is provided to illustrate the theory.