Results for approximate controllability of impulsive integro-differential system in Hilbert space

Abstract

In this investigation, our primary concentration is placed on an impulsive resolvent integro-differential inclusions (IRIDI) in Hilbert spaces. The topic of discussion for this investigation is the approximation of controllability (AC) for an IRIDI in Hilbert spaces. We provide a set of necessary criteria for the AC of nonlinear IRIDI in Hilbert spaces by making use of Bohnenblust- Karlin's (B-K) fixed point theorem. These constraints pertain to the fact that the inclusions must be nonlinear.