EXACT AND TRAJECTORY CONTROLLABILITY OF SECOND ORDER EVOLUTION SYSTEMS WITH DEVIATED ARGUMENT

摘要

In this paper, we shall study the controllability of certain second order evolution problems with deviated argument in a Banach space X. Sufficient conditions are formulated and proved for the controllability of such systems. We establish controllability results by using a ?xed point analysis approach. Finally, application of the proposed results is presented by giving an example.