APPROXIMATE CONTROLLABILITY OF SECOND-ORDER NEUTRAL IMPULSIVE EVOLUTION DIFFERENTIAL INCLUSIONS OF SOBOLEV-TYPE WITH NONLOCAL CONDITIONS

Abstract

In this paper, we consider a class of second-order neutral impulsive evolution differential inclusions of Sobolev- type in Hilbert spaces. This paper deals with the approximate controllability for a class of second-order control systems. We establish a set of sufficient conditions for the approximate controllability for a class of  second- order neutral impulsive evolution differential inclusions of Sobolev-type in Hilbert spaces by using the Bohnenblust- Karlin’s fixed point theorem. Finally, an example is given to illustrate our main results.