Iterative oscillation criteria of third-order nonlinear damped neutral differential equations

Taher S. Hassan; Emad R. Attia; Bassant M. Elmatary

doi:10.3934/math.20241124

Iterative oscillation criteria of third-order nonlinear damped neutral differential equations

Taher S. Hassan, Emad R. Attia, Bassant M. Elmatary

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Using comparison principles, we examine the asymptotic characteristics of a third-order nonlinear damped neutral differential equation. Our results substantially generalize numerous previously established results as well as drastically improving them. To illustrate the relevance and effectiveness of our results, we use numerical examples.

Original language	English
Pages (from-to)	23128-23141
Number of pages	14
Journal	AIMS Mathematics
Volume	9
Issue number	8
DOIs	https://doi.org/10.3934/math.20241124
State	Published - 2024

Keywords

asymptotic behavior
damped
differential equations
oscillation
third-order

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10.3934/math.20241124

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title = "Iterative oscillation criteria of third-order nonlinear damped neutral differential equations",

abstract = "Using comparison principles, we examine the asymptotic characteristics of a third-order nonlinear damped neutral differential equation. Our results substantially generalize numerous previously established results as well as drastically improving them. To illustrate the relevance and effectiveness of our results, we use numerical examples.",

keywords = "asymptotic behavior, damped, differential equations, oscillation, third-order",

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AU - Hassan, Taher S.

AU - Attia, Emad R.

AU - Elmatary, Bassant M.

PY - 2024

Y1 - 2024

N2 - Using comparison principles, we examine the asymptotic characteristics of a third-order nonlinear damped neutral differential equation. Our results substantially generalize numerous previously established results as well as drastically improving them. To illustrate the relevance and effectiveness of our results, we use numerical examples.

AB - Using comparison principles, we examine the asymptotic characteristics of a third-order nonlinear damped neutral differential equation. Our results substantially generalize numerous previously established results as well as drastically improving them. To illustrate the relevance and effectiveness of our results, we use numerical examples.

KW - asymptotic behavior

KW - damped

KW - differential equations

KW - oscillation

KW - third-order

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U2 - 10.3934/math.20241124

DO - 10.3934/math.20241124

M3 - Article

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SN - 2473-6988

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SP - 23128

EP - 23141

JO - AIMS Mathematics

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Iterative oscillation criteria of third-order nonlinear damped neutral differential equations

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Keywords

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