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

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.

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Publication Details

Journal
Contemporary Mathematics
Published
2025-02-20
DOI
https://doi.org/10.37256/cm.6120255413
Primary Topic
Differential Equations and Numerical Methods
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Eddie Shahril Ismail, Omar Bazighifan, Shoura Ahmed Balatta, Shaher Momani et al.
Contemporary Mathematics
Differential Equations and Numerical Methods
article

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

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

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.

Contemporary Mathematics
Ajman University (AE), Hadhramout University (YE), National University of Malaysia (MY)
Openalex Percentile: Top 95%
Differential Equations and Numerical Methods
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