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arXiv · 2312.01676

Controllability of a second-order impulsive neutral differential equation via resolvent operator technique

Asma Afreen·Abdur Raheem·Areefa Khatoon
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Abstract

This paper uses the resolvent operator technique to investigate second-order non-autonomous neutral integrodifferential equations with impulsive conditions in a Banach space. We study the existence of a mild solution and the system's approximate controllability. The semigroup and resolvent operator theory, graph norm, and Krasnoselskii's fixed point theorem are used to demonstrate the results. Finally, we present our findings with an example.

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Asma Afreen, Abdur Raheem, Areefa Khatoon. 2023-12-04. Controllability of a second-order impulsive neutral differential equation via resolvent operator technique. https://arxiv.org/abs/2312.01676

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