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Research Article | Open Access

On the oscillation of solutions of third-order differential equations with non-positive neutral coefficients

A. A. El-Gaber1( ), M. M. A. El-Sheikh1, M. Zakarya2, Amirah Ayidh I Al-Thaqfan3, H. M. Rezk4
Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Koom, Egypt
Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia
Department of Mathematics, College of Arts and Sciences, King Khalid University, P.O. Box 64512, Abha 62529, Sarat Ubaidah, Saudi Arabia
Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Egypt
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Abstract

The oscillation property of third-order differential equations with non-positive neutral coefficients is discussed. New sufficient conditions are provided to guarantee that every solution of the considered equation is almost oscillatory. Both the canonical and non-canonical cases are considered. Illustrative examples are introduced to support the obtained results.

Keywords

oscillationthird-ordernonpositive neutral coefficients
CLC number: 34C10, 34K11

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AIMS Mathematics
Volume 9 Issue 11,
November 2024
Pages 32257-32271
DOI: 10.3934/math.20241548

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Cite this article:
El-Gaber AA, El-Sheikh MMA, Zakarya M, et al. On the oscillation of solutions of third-order differential equations with non-positive neutral coefficients. AIMS Mathematics, 2024, 9(11): 32257-32271. https://doi.org/10.3934/math.20241548

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Received: 03 September 2024
Revised: 20 October 2024
Accepted: 30 October 2024
Published: 14 November 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)