Approximate Controllability of Second-Order Neutral Evolution Equations with Nonlocal Conditions

Abstract

In this paper, we consider a class of second-order neutral evolution equations with non-local conditions in Banach spaces. This paper deals with the approximate controllability for a class of second-order control systems. A set of sufficient conditions are established for the approximate controllability of a class of second-order neutral evolution equations with nonlocal conditions in Banach spaces and Schauder's fixed point theorem is used to prove the main result. An example is also given to illustrate the main result.