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Research Article | Open Access

Asymptotic and oscillation properties of solutions of differential equations in the Canonical case

Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
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Abstract

The existence of oscillatory solutions to fourth-order differential equations with multiple delays is investigated in this paper. The comparison method and the Riccati method are used to create new oscillation conditions. The results we have got, when compared to some studies in the literature, not only enhance the conditions for the oscillation of the examined equations, but they also expand some of the results that have already been published. Some examples are provided to illustrate the results.

Keywords

oscillatory solutionsfourth-order differential equationsseveral delays
CLC number: 34C10, 34K11

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AIMS Mathematics
Volume 10 Issue 8,
August 2025
Pages 19267-19279
DOI: 10.3934/math.2025861

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Cite this article:
Althubiti S. Asymptotic and oscillation properties of solutions of differential equations in the Canonical case. AIMS Mathematics, 2025, 10(8): 19267-19279. https://doi.org/10.3934/math.2025861

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Received: 19 June 2025
Revised: 06 August 2025
Accepted: 12 August 2025
Published: 15 August 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)