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Research Article | Open Access

Iterative oscillation criteria of third-order nonlinear damped neutral differential equations

Taher S. Hassan1,2,3, Emad R. Attia4,5, Bassant M. El-Matary5,6( )
Department of Mathematics, College of Science, University of Hail, Hail 2440, Saudi Arabia
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele Ⅱ, 39, 00186 Roma, Italy
Department of Mathematics, College of Sciences and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
Department of Mathematics, College of Science, Qassim University, Buraydah, 51452, Saudi Arabia
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Abstract

Using comparison principles, we examine the asymptotic characteristics of a third-order nonlinear damped neutral differential equation. Our results substantially generalize numerous previously established results as well as drastically improving them. To illustrate the relevance and effectiveness of our results, we use numerical examples.

Keywords

differential equationsthird-orderoscillationasymptotic behaviordamped
CLC number: 34K11, 39A10, 39A99

References

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AIMS Mathematics
Volume 9 Issue 8,
August 2024
Pages 23128-23141
DOI: 10.3934/math.20241124

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Cite this article:
Hassan TS, Attia ER, El-Matary BM. Iterative oscillation criteria of third-order nonlinear damped neutral differential equations. AIMS Mathematics, 2024, 9(8): 23128-23141. https://doi.org/10.3934/math.20241124

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Received: 07 May 2024
Revised: 09 July 2024
Accepted: 22 July 2024
Published: 15 August 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)