Existence and approximate controllability of non-autonomous functional impulsive evolution inclusions in Banach spaces (Q2051737)

The paper is devoted to the approximate controllability for a class of impulsive functional differential control systems involving time depending operators in Banach spaces. First, the properties of the multi-valued Nemytskii operator of a special form are discussed. Then, the authors prove one of the main results about the existence of a mild solution of the considered equation. In the final part, a concrete example is discussed to demonstrate the application of the theoretical results obtained in the work.