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Research Article | Open Access

Nonlinear differential equations with neutral term: Asymptotic behavior of solutions

Department of Mathematics, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
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Abstract

The aim of this work is to study some oscillation behavior of solutions of a class of third-order neutral differential equations with multi delays. We present new oscillation criteria that complete and simplify some previous results. We also provide an example to clarify the significance of our results.

Keywords

oscillationthird-orderneutraldifferential equation
CLC number: 34C10, 34K11

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AIMS Mathematics
Volume 9 Issue 12,
December 2024
Pages 33649-33661
DOI: 10.3934/math.20241606

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Cite this article:
AlKandari M. Nonlinear differential equations with neutral term: Asymptotic behavior of solutions. AIMS Mathematics, 2024, 9(12): 33649-33661. https://doi.org/10.3934/math.20241606

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Received: 18 September 2024
Revised: 26 October 2024
Accepted: 06 November 2024
Published: 15 December 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)