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Research Article | Open Access

New oscillation results for noncanonical quasilinear differential equations of neutral type

Hail S. Alrashdi1, Fahd Masood1( ), Ahmad M. Alshamrani2, Sameh S. Askar2, Monica Botros3
Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
Department of Statistics and Operations Research, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia
Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele Ⅱ, 39, 00186 Roma, Italy
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Abstract

This article explored oscillation conditions for quasi-linear neutral differential equations of noncanonical form. By establishing new iterative monotonic properties of solutions, we derived novel oscillation criteria that extend and refine existing results in the literature. To illustrate the significance of our findings, we provided three concrete examples demonstrating the applicability of the proposed conditions.

Keywords

oscillatorynonoscillatoryneutral differential equationssecond-ordernoncanonical
CLC number: 34C10, 34K11

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AIMS Mathematics
Volume 10 Issue 6,
June 2025
Pages 14372-14391
DOI: 10.3934/math.2025647

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Cite this article:
Alrashdi HS, Masood F, Alshamrani AM, et al. New oscillation results for noncanonical quasilinear differential equations of neutral type. AIMS Mathematics, 2025, 10(6): 14372-14391. https://doi.org/10.3934/math.2025647

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Received: 05 December 2024
Revised: 09 February 2025
Accepted: 25 February 2025
Published: 23 June 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)