Fourth-Order Delay Differential Equations: New Monotonic Properties of Solutions

Shoura Ahmed Balatta; Ishak Hashim; Eddie Shahril Ismail; Omar Bazighifan; Shaher Momani

doi:10.37256/cm.6120255413

Fourth-Order Delay Differential Equations: New Monotonic Properties of Solutions

Shoura Ahmed Balatta
, Ishak Hashim
, Eddie Shahril Ismail
, Omar Bazighifan
, Shaher Momani

Nonlinear Dynamic Research Centre (NDRC)

Universiti Kebangsaan Malaysia
Seiyun University
Jadara University
University of Jordan

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

Abstract

New oscillation criteria for the fourth-order delay differential equation are presented. An essential feature of our results is that oscillation of the studied equation is ensured via some conditions. Furthermore, new criteria are provided to delay differential equations by using the Riccati transform technique, the integrated averaging approach, and the comparison method with second order. Our results essentially improve, extend, and simplify some known ones reported in the literature. The results are illustrated with examples.

Original language	English
Pages (from-to)	1239-1254
Number of pages	16
Journal	Contemporary Mathematics (Singapore)
Volume	6
Issue number	1
DOIs	https://doi.org/10.37256/cm.6120255413
State	Published - 2025

Keywords

delay
fourth-order DEs
oscillation

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10.37256/cm.6120255413

Cite this

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title = "Fourth-Order Delay Differential Equations: New Monotonic Properties of Solutions",

abstract = "New oscillation criteria for the fourth-order delay differential equation are presented. An essential feature of our results is that oscillation of the studied equation is ensured via some conditions. Furthermore, new criteria are provided to delay differential equations by using the Riccati transform technique, the integrated averaging approach, and the comparison method with second order. Our results essentially improve, extend, and simplify some known ones reported in the literature. The results are illustrated with examples.",

keywords = "delay, fourth-order DEs, oscillation",

author = "Balatta, \{Shoura Ahmed\} and Ishak Hashim and Ismail, \{Eddie Shahril\} and Omar Bazighifan and Shaher Momani",

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language = "English",

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pages = "1239--1254",

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T1 - Fourth-Order Delay Differential Equations

T2 - New Monotonic Properties of Solutions

AU - Balatta, Shoura Ahmed

AU - Hashim, Ishak

AU - Ismail, Eddie Shahril

AU - Bazighifan, Omar

AU - Momani, Shaher

PY - 2025

Y1 - 2025

N2 - New oscillation criteria for the fourth-order delay differential equation are presented. An essential feature of our results is that oscillation of the studied equation is ensured via some conditions. Furthermore, new criteria are provided to delay differential equations by using the Riccati transform technique, the integrated averaging approach, and the comparison method with second order. Our results essentially improve, extend, and simplify some known ones reported in the literature. The results are illustrated with examples.

AB - New oscillation criteria for the fourth-order delay differential equation are presented. An essential feature of our results is that oscillation of the studied equation is ensured via some conditions. Furthermore, new criteria are provided to delay differential equations by using the Riccati transform technique, the integrated averaging approach, and the comparison method with second order. Our results essentially improve, extend, and simplify some known ones reported in the literature. The results are illustrated with examples.

KW - delay

KW - fourth-order DEs

KW - oscillation

UR - https://www.scopus.com/pages/publications/85219061230

U2 - 10.37256/cm.6120255413

DO - 10.37256/cm.6120255413

M3 - Article

AN - SCOPUS:85219061230

SN - 2705-1064

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SP - 1239

EP - 1254

JO - Contemporary Mathematics (Singapore)

JF - Contemporary Mathematics (Singapore)

IS - 1

ER -

Fourth-Order Delay Differential Equations: New Monotonic Properties of Solutions

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Keywords

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