Controllability of nonautonomous measure driven integrodifferential evolution equations with nonlocal conditions

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 Mönch 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.

💡 Research Summary

The paper investigates the exact controllability of a class of non‑autonomous, measure‑driven integrodifferential evolution equations equipped with nonlocal initial conditions. The state equation under study is

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