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Research Article | Open Access

Some new oscillation results for second-order differential equations with neutral term

Department of Quantitative Methods, School of Business, King Faisal University, Al-Ahsa 31982, Saudi Arabia
Department of Mathematics, Faculty of Applied and Educational Sciences, Al-Nadera, Ibb University, Ibb, Yemen
Jadara Research Center, Jadara University, Irbid 21110, Jordan
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Abstract

In this paper, we study the oscillatory behavior of second-order differential equations. Using the comparison method, we obtain new oscillation criteria that improve the relevant results in the literature. Additionally, an example is given to illustrate the importance of the obtained oscillation criteria.

Keywords

oscillation criteriacomparison methodneutralsecond-order
CLC number: 34C10, 34K11

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AIMS Mathematics
Volume 10 Issue 1,
January 2025
Pages 694-704
DOI: 10.3934/math.2025031

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Cite this article:
Alomair AM, Muhib A. Some new oscillation results for second-order differential equations with neutral term. AIMS Mathematics, 2025, 10(1): 694-704. https://doi.org/10.3934/math.2025031

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Received: 29 November 2024
Revised: 31 December 2024
Accepted: 06 January 2025
Published: 15 January 2025
©2025 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)