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Research Article | Open Access

Oscillation conditions of nonlinear neutral differential equations with several delays

Department of Mathematics, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
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Abstract

In this paper, we examine whether oscillatory solutions to an even-order differential equation with multiple delays exist. We create new oscillation criteria using the comparison method. When comparing the results obtained in this paper with some of the results in the literature, we find that the results we obtained give better values for the oscillation of the studied equation, and thus we find that the results we obtained expand some of the results in the literature. To further emphasize the relevance of our proposed criteria, we offer some instances to support and exemplify our results.

CLC number: 34C10, 34K11

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AIMS Mathematics
Pages 13825-13835

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Cite this article:
AlKandari M. Oscillation conditions of nonlinear neutral differential equations with several delays. AIMS Mathematics, 2025, 10(6): 13825-13835. https://doi.org/10.3934/math.2025622

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Received: 17 February 2025
Revised: 16 May 2025
Accepted: 20 May 2025
Published: 16 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)