Asymptotic and oscillation properties of solutions of differential equations in the Canonical case

Saeed Althubiti; Saeed Althubiti

doi:10.3934/math.2025861

AIMS Mathematics

2025, Volume 10, Issue 8: 19267-19279. doi: 10.3934/math.2025861

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Asymptotic and oscillation properties of solutions of differential equations in the Canonical case

Saeed Althubiti ^,

Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

Received: 19 June 2025 Revised: 06 August 2025 Accepted: 12 August 2025 Published: 25 August 2025
MSC : 34C10, 34K11

The existence of oscillatory solutions to fourth-order differential equations with multiple delays is investigated in this paper. The comparison method and the Riccati method are used to create new oscillation conditions. The results we have got, when compared to some studies in the literature, not only enhance the conditions for the oscillation of the examined equations, but they also expand some of the results that have already been published. Some examples are provided to illustrate the results.
- oscillatory solutions,
- fourth-order differential equations,
- several delays
Citation: Saeed Althubiti. Asymptotic and oscillation properties of solutions of differential equations in the Canonical case[J]. AIMS Mathematics, 2025, 10(8): 19267-19279. doi: 10.3934/math.2025861

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Abstract

The existence of oscillatory solutions to fourth-order differential equations with multiple delays is investigated in this paper. The comparison method and the Riccati method are used to create new oscillation conditions. The results we have got, when compared to some studies in the literature, not only enhance the conditions for the oscillation of the examined equations, but they also expand some of the results that have already been published. Some examples are provided to illustrate the results.

References

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