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

Shaimaa Elsaeed; Osama Moaaz; Kottakkaran S. Nisar; Mohammed Zakarya; Elmetwally M. Elabbasy; Shaimaa Elsaeed; Osama Moaaz; Kottakkaran S. Nisar; Mohammed Zakarya; Elmetwally M. Elabbasy

doi:10.3934/math.2024775

AIMS Mathematics

2024, Volume 9, Issue 6: 15996-16014. doi: 10.3934/math.2024775

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Research article

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

1.
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
2.
Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia
3.
Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
4.
Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia

Received: 25 January 2024 Revised: 14 April 2024 Accepted: 23 April 2024 Published: 07 May 2024
MSC : 34C10, 34K11

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.
- even-order,
- oscillatory behavior,
- neutral differential equations,
- distributed deviating arguments
Citation: Shaimaa Elsaeed, Osama Moaaz, Kottakkaran S. Nisar, Mohammed Zakarya, Elmetwally M. Elabbasy. Sufficient criteria for oscillation of even-order neutral differential equations with distributed deviating arguments[J]. AIMS Mathematics, 2024, 9(6): 15996-16014. doi: 10.3934/math.2024775

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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.

References

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