Oscillation conditions of nonlinear neutral differential equations with several delays

In this paper, we examine whether oscillatory solutions to an even-order differential equation with multiple delays exist. We create new oscillation criteria using the comparison method. When comparing the results obtained in this paper with some of the results in the literature, we find that the results we obtained give better values for the oscillation of the studied equation, and thus we find that the results we obtained expand some of the results in the literature. To further emphasize the relevance of our proposed criteria, we offer some instances to support and exemplify our results.

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Publication Details

Journal
AIMS Mathematics
Published
2025-01-01
DOI
https://doi.org/10.3934/math.2025622
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
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article

Oscillation conditions of nonlinear neutral differential equations with several delays

Maryam Al-Kandari
AIMS Mathematics
Nonlinear Differential Equations Analysis
article

Oscillation conditions of nonlinear neutral differential equations with several delays

Maryam Al-Kandari
article en

Abstract

In this paper, we examine whether oscillatory solutions to an even-order differential equation with multiple delays exist. We create new oscillation criteria using the comparison method. When comparing the results obtained in this paper with some of the results in the literature, we find that the results we obtained give better values for the oscillation of the studied equation, and thus we find that the results we obtained expand some of the results in the literature. To further emphasize the relevance of our proposed criteria, we offer some instances to support and exemplify our results.

AIMS MathematicsVol. 10(6)
Kuwait University (KW)
Openalex Percentile: Top 80%
Nonlinear Differential Equations Analysis
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