Controllability of nonautonomous measure driven integrodifferential evolution equations with nonlocal conditions

TL;DR

This paper investigates the exact controllability of complex integrodifferential systems driven by measures, establishing new sufficient conditions using advanced mathematical tools without restrictive assumptions, thus broadening previous results.

Contribution

It introduces generalized controllability criteria for measure-driven integrodifferential systems using measure of noncompactness and fixed point theorem, without assuming compactness of the evolution system.

Findings

Derived new controllability conditions for nonlocal integrodifferential systems.

Generalized and improved upon previous controllability results.

Utilized measure of noncompactness and Mönch fixed point theorem effectively.

Abstract

This research delves into the exact controllability of semilinear measure-driven integrodifferential systems in nonlocal settings. We provide sufficient controllability requirements using the measure of noncompactness and the M\"onch fixed point theorem without making any assumptions about how compact the evolution system is in relation to the linear part of the measure system. Here, we obtain results that both generalize and improve upon many prior findings.