Controllability of the second-order differential inclusion in Banach spaces

The purpose of this paper is to study the controllability for the second-order differential inclusion in Banach spaces.We rely on a fixed point theorem for condensing maps due to Martelli.We consider the damping term x (·) and find a control u such that the solution satisfies x(T ) = x1 and x (T ) = y1.  2003 Elsevier Inc. All rights reserved.