Oscillatory behaviour of Solutions for First Order Delay Differential Equations with Monotone Arguments

This study investigates the oscillation criteria for solutions of first order delay differential equations with monotone argument the condition for oscillation of DDEs with monotone argument the established. We employed the method of Chatzarakis and Li to improve the first order DDEs to monotone argument. The result obtained demonstrate that the oscillation of first order first order delay is also oscillatory when the value of is large enough. Therefore, it is recommended for further modification on our criteria so that it can accommodate higher order delay.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-06
DOI
https://doi.org/10.5281/zenodo.24012161
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
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article

Oscillatory behaviour of Solutions for First Order Delay Differential Equations with Monotone Arguments

A. A. Ibrahim, A. A. Abubakar
Zenodo (CERN European Organization for Nuclear Research)
Nonlinear Differential Equations Analysis
article

Oscillatory behaviour of Solutions for First Order Delay Differential Equations with Monotone Arguments

A. A. Ibrahim, A. A. Abubakar
article en

Abstract

This study investigates the oscillation criteria for solutions of first order delay differential equations with monotone argument the condition for oscillation of DDEs with monotone argument the established. We employed the method of Chatzarakis and Li to improve the first order DDEs to monotone argument. The result obtained demonstrate that the oscillation of first order first order delay is also oscillatory when the value of is large enough. Therefore, it is recommended for further modification on our criteria so that it can accommodate higher order delay.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 22%
Nonlinear Differential Equations Analysis
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Oscillatory behaviour of Solutions for First Order Delay Differential Equations with Monotone Arguments — A. A. Ibrahim, A. A. Abubakar · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS