CONTROLLABILITY OF DAMPED SECOND-ORDER INITIAL VALUE PROBLEM FOR A CLASS OF DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS ON NONCOMPACT INTERVALS

Abstract

In this short article, we investigate the controllability of damped second-order initial value problems for a class of differential inclusions with nonlocal conditions on unbounded real interval. We shall employ a theorem of Ma, which is an extension to multivalued maps on locally convex topological spaces, of Schaefer's theorem. Example is provided to illustrate the theory. This work is motivated by the papers of Benchohra and Ntouyas [10] and Benchohra, Gatsori and Ntouyas [8].