Note on the Null Controllability of Semi Linear Integro-Differential Systems in Banach Spaces with Distributed Delays in Control

Oraekie Paul Anaetodike

Semi linear Integrodifferential Systems in Banach spaces with Distributed Delays in Control of the form is presented for controllability analysis .Necessary and Sufficient Conditions for the systems  to be null controllable are established. Uses were made of the Unsymmetric Fubinis’ theorem and some Controllability Standards. The mild solution of the system was obtained using the variation of constant formula. From this mild solution, we extracted the set functions upon which our studies hinged.