Controllability of integrodifferential equations with state-dependent Delay

Abstract

In this paper, the controllability of a class of functional integrodifferential equations with state-dependent delay is investigated. Through the application of the resolvent operator in the sense of Grimmer and Sadovskii's fixed point theorem, sufficient conditions for the controllability of functional integrodifferential equations with state-dependent delay can be established. At long last, an illustration of how the results that were obtained can be put to use is presented here.