CONTROLLABILITY OF INTEGRODIFFERENTIAL SYSTEMS WITH NONLOCAL INITIAL CONDITIONS IN BANACH SPACES

摘要

In this paper, we establish a sufficient condition for the controllability of a class of semilin-ear integrodifferential systems with nonlocal initial conditions in Banach spaces. Utilizing the measure of noncompactness, the Sadovskii fixed-point theorem, and operator semigroups, a new controllability result is presented. In particular, the compactness of the operator semigroups is dropped.