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

3 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

Access to Document

10.3934/math.20241124

Cite this

@article{33af906650084aeeb33cd2cd13e378c0,

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",

author = "Hassan, \{Taher S.\} and Attia, \{Emad R.\} and Elmatary, \{Bassant M.\}",

note = "Publisher Copyright: {\textcopyright} 2024 the Author(s), licensee AIMS Press.",

year = "2024",

doi = "10.3934/math.20241124",

language = "English",

volume = "9",

pages = "23128--23141",

journal = "AIMS Mathematics",

issn = "2473-6988",

publisher = "American Institute of Mathematical Sciences",

number = "8",

}

TY - JOUR

T1 - Iterative oscillation criteria of third-order nonlinear damped neutral differential equations

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

UR - https://www.scopus.com/pages/publications/85200266608

U2 - 10.3934/math.20241124

DO - 10.3934/math.20241124

M3 - Article

AN - SCOPUS:85200266608

SN - 2473-6988

VL - 9

SP - 23128

EP - 23141

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 8

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this