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Research Article | Open Access

Sufficient criteria for oscillation of even-order neutral differential equations with distributed deviating arguments

Shaimaa Elsaeed1, Osama Moaaz1,2( ), Kottakkaran S. Nisar3, Mohammed Zakarya4, Elmetwally M. Elabbasy1
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia
Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia
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Abstract

This paper presents novel criteria for investigating the oscillatory behavior of even-order neutral differential equations. By employing a comparative approach, we established the oscillation properties of the studied equation through comparisons with well-understood first-order equations with known oscillatory behavior. The findings of this study introduce fresh perspectives and enrich the existing body of oscillation criteria found in the literature. To illustrate the practical application of our results, we provide an illustrative example.

Keywords

even-orderoscillatory behaviorneutral differential equationsdistributed deviating arguments
CLC number: 34C10, 34K11

References

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AIMS Mathematics
Volume 9 Issue 6,
May 2024
Pages 15996-16014
DOI: 10.3934/math.2024775

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Cite this article:
Elsaeed S, Moaaz O, Nisar KS, et al. Sufficient criteria for oscillation of even-order neutral differential equations with distributed deviating arguments. AIMS Mathematics, 2024, 9(6): 15996-16014. https://doi.org/10.3934/math.2024775

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Received: 25 January 2024
Revised: 14 April 2024
Accepted: 23 April 2024
Published: 07 May 2024
©2024 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)