Some new oscillation results for second-order differential equations with neutral term

Abdullah Mohammed Alomair; Ali Muhib; Abdullah Mohammed Alomair; Ali Muhib

doi:10.3934/math.2025031

AIMS Mathematics

2025, Volume 10, Issue 1: 694-704. doi: 10.3934/math.2025031

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Some new oscillation results for second-order differential equations with neutral term

Abdullah Mohammed Alomair ^{1
,
,},
Ali Muhib ^{2,3
,
,}

1.
Department of Quantitative Methods, School of Business, King Faisal University, Al-Ahsa 31982, Saudi Arabia
2.
Department of Mathematics, Faculty of Applied and Educational Sciences, Al-Nadera, Ibb University, Ibb, Yemen
3.
Jadara Research Center, Jadara University, Irbid 21110, Jordan

Received: 29 November 2024 Revised: 31 December 2024 Accepted: 06 January 2025 Published: 13 January 2025
MSC : 34C10, 34K11

In this paper, we study the oscillatory behavior of second-order differential equations. Using the comparison method, we obtain new oscillation criteria that improve the relevant results in the literature. Additionally, an example is given to illustrate the importance of the obtained oscillation criteria.
- oscillation criteria,
- comparison method,
- neutral,
- second-order
Citation: Abdullah Mohammed Alomair, Ali Muhib. Some new oscillation results for second-order differential equations with neutral term[J]. AIMS Mathematics, 2025, 10(1): 694-704. doi: 10.3934/math.2025031

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Abstract

In this paper, we study the oscillatory behavior of second-order differential equations. Using the comparison method, we obtain new oscillation criteria that improve the relevant results in the literature. Additionally, an example is given to illustrate the importance of the obtained oscillation criteria.

References

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