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Research Article | Open Access

Second-order differential equations with mixed neutral terms: new oscillation theorems

Department of Management Information Systems, 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

Since differential equations play a major role in mathematics, physics, and engineering, the study of the oscillatory behavior of these equations is of great importance. In this paper, we apply the comparison method with first-order differential equations to study the oscillatory behavior of second-order differential equations. New oscillation criteria were obtained to improve some of the results of previous studies. Examples are included to illustrate the importance and novelty of the presented results.

Keywords

oscillation criteriadifferential equationsnon-canonical casemixed neutral terms
CLC number: 34C10, 34K11

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AIMS Mathematics
Volume 10 Issue 2,
February 2025
Pages 3381-3391
DOI: 10.3934/math.2025156

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Cite this article:
Alarfaj FK, Muhib A. Second-order differential equations with mixed neutral terms: new oscillation theorems. AIMS Mathematics, 2025, 10(2): 3381-3391. https://doi.org/10.3934/math.2025156

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Received: 11 December 2024
Revised: 23 January 2025
Accepted: 08 February 2025
Published: 15 February 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)