Approximate Controllability for Semilinear Retarded Functional Differential Equations

This paper deals with the approximate controllability of the semilinear functional differential equations with unbounded delays. We will also establish the regularity of the solution of the given system. It is shown the relation between the reachable set of the semilinear system and that of its corresponding linear system by using degree theory. Finally, a simple example to which our main result can be applied is given.