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Article

Almost Periodic Solution for Forced Perturbed Non-Instantaneous Impulsive Model

by
Rui Ma
and
Mengmeng Li
*
Department of Mathematics, Guizhou University, Guiyang 550025, China
*
Author to whom correspondence should be addressed.
Axioms 2022, 11(10), 496; https://doi.org/10.3390/axioms11100496
Submission received: 11 August 2022 / Revised: 17 September 2022 / Accepted: 21 September 2022 / Published: 23 September 2022
(This article belongs to the Special Issue Impulsive, Delay and Fractional Order Systems)
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Abstract

In this paper we investigate a forced perturbed non-instantaneous impulsive model. Firstly, we prove the existence and uniqueness of an almost periodic solution for the model considered by the Banach contraction principle. Secondly, we prove that all solutions converge exponentially to the almost periodic solution. In other words, the solution of the model considered is exponentially stable. Finally, we provide some simulations to show the effectiveness of the theoretical results.
Keywords: non-instantaneous impulsive; forced perturbed; almost periodic; exponentially stable non-instantaneous impulsive; forced perturbed; almost periodic; exponentially stable

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MDPI and ACS Style

Ma, R.; Li, M. Almost Periodic Solution for Forced Perturbed Non-Instantaneous Impulsive Model. Axioms 2022, 11, 496. https://doi.org/10.3390/axioms11100496

AMA Style

Ma R, Li M. Almost Periodic Solution for Forced Perturbed Non-Instantaneous Impulsive Model. Axioms. 2022; 11(10):496. https://doi.org/10.3390/axioms11100496

Chicago/Turabian Style

Ma, Rui, and Mengmeng Li. 2022. "Almost Periodic Solution for Forced Perturbed Non-Instantaneous Impulsive Model" Axioms 11, no. 10: 496. https://doi.org/10.3390/axioms11100496

APA Style

Ma, R., & Li, M. (2022). Almost Periodic Solution for Forced Perturbed Non-Instantaneous Impulsive Model. Axioms, 11(10), 496. https://doi.org/10.3390/axioms11100496

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