Asymptotic behavior of solutions of the third-order nonlinear advanced differential equations

Belgees Qaraad; Muneerah AL Nuwairan; Belgees Qaraad; Muneerah AL Nuwairan

doi:10.3934/math.20231212

AIMS Mathematics

2023, Volume 8, Issue 10: 23800-23814. doi: 10.3934/math.20231212

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Research article

Asymptotic behavior of solutions of the third-order nonlinear advanced differential equations

Belgees Qaraad ¹,
Muneerah AL Nuwairan ^{2
,
,}

1.
Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
2.
Department of Mathematics, College of Sciences, King Faisal University, P. O. Box 400, 31982 Al-Ahsa, Saudi Arabia

Received: 19 June 2023 Revised: 10 July 2023 Accepted: 24 July 2023 Published: 04 August 2023
MSC : 34C10, 34K11

The aim of this work is to study some asymptotic properties of a class of third-order advanced differential equations. We present new oscillation criteria that complete, simplify and improve some previous results. We also provide many different examples to clarify the significance of our results.
- third-order differential equations,
- advanced differential equation,
- oscillation criteria,
- nonoscillatory solution
Citation: Belgees Qaraad, Muneerah AL Nuwairan. Asymptotic behavior of solutions of the third-order nonlinear advanced differential equations[J]. AIMS Mathematics, 2023, 8(10): 23800-23814. doi: 10.3934/math.20231212

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Abstract

The aim of this work is to study some asymptotic properties of a class of third-order advanced differential equations. We present new oscillation criteria that complete, simplify and improve some previous results. We also provide many different examples to clarify the significance of our results.

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