Results on approximate controllability of second-order non-autonomous integrodifferential inclusions via resolvent operators

摘要

In this work, we establish a set of sufficient conditions for the approximate controllability for a class of non-autonomous second-order integrodifferential inclusions in Banach spaces. We establish our main results with the help of resolvent operators and Bohnenblust-Karlin's fixed point theorem. Then we extend our study to second-order neutral systems with nonlocal conditions. An example is given to illustrate the main result.