Controllability of Semilinear Differential Systems with Nonlocal Initial Conditions in Banach Spaces.

In this note, we establish a sufficient condition for the controllability of a first-order semilinear differential system with nonlocal initial conditions in Banach spaces. The approach used is the Sadovskii fixed-point theorem combined with operator semigroups. Particularly, the compactness of the operator semigroups is not needed in this article. [ABSTRACT FROM AUTHOR]