Controllability of second-order integrodifferential evolution systems in Banach spaces

In this paper, we study the controllability of second-order nonlinear integrodifferential systems in Banach spaces. Further, we derive a set of sufficient conditions for the controllability of second-order nonlinear integrodifferential evolution systems in Banach spaces. The results are established by using the theory of strongly continuous cosine families of bounded linear operators and the Schaefer fixed-point theorem.