Controllability of a second-order impulsive neutral differential equation via resolvent operator technique
Dynamical Systems
2023-12-05 v1
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.
Keywords
Cite
@article{arxiv.2312.01676,
title = {Controllability of a second-order impulsive neutral differential equation via resolvent operator technique},
author = {Asma Afreen and Abdur Raheem and Areefa Khatoon},
journal= {arXiv preprint arXiv:2312.01676},
year = {2023}
}