New Explicit Oscillation Criteria for First-Order Differential Equations with Several Non-Monotone Delays

Emad Attia; Bassant El-Matary

doi:10.3390/math11010064

New Explicit Oscillation Criteria for First-Order Differential Equations with Several Non-Monotone Delays

Emad Attia
, Bassant El-Matary

Mathematics

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

2 Scopus citations

Abstract

The oscillation of a first-order differential equation with several non-monotone delays is proposed. We extend the works of Kwong (1991) and Sficas and Stavroulakis (2003) for equations with several delays. Our results not only essentially improve but also generalize a large number of the existing ones. Using some numerical examples, we illustrate the applicability and effectiveness of our results over many known results in the literature.

Original language	English
Article number	64
Journal	Mathematics
Volume	11
Issue number	1
DOIs	https://doi.org/10.3390/math11010064
State	Published - Jan 2023

Keywords

differential equation
non-monotone delays
oscillation

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10.3390/math11010064

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title = "New Explicit Oscillation Criteria for First-Order Differential Equations with Several Non-Monotone Delays",

abstract = "The oscillation of a first-order differential equation with several non-monotone delays is proposed. We extend the works of Kwong (1991) and Sficas and Stavroulakis (2003) for equations with several delays. Our results not only essentially improve but also generalize a large number of the existing ones. Using some numerical examples, we illustrate the applicability and effectiveness of our results over many known results in the literature.",

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author = "Emad Attia and Bassant El-Matary",

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N2 - The oscillation of a first-order differential equation with several non-monotone delays is proposed. We extend the works of Kwong (1991) and Sficas and Stavroulakis (2003) for equations with several delays. Our results not only essentially improve but also generalize a large number of the existing ones. Using some numerical examples, we illustrate the applicability and effectiveness of our results over many known results in the literature.

AB - The oscillation of a first-order differential equation with several non-monotone delays is proposed. We extend the works of Kwong (1991) and Sficas and Stavroulakis (2003) for equations with several delays. Our results not only essentially improve but also generalize a large number of the existing ones. Using some numerical examples, we illustrate the applicability and effectiveness of our results over many known results in the literature.

KW - differential equation

KW - non-monotone delays

KW - oscillation

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U2 - 10.3390/math11010064

DO - 10.3390/math11010064

M3 - Article

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VL - 11

JO - Mathematics

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ER -

New Explicit Oscillation Criteria for First-Order Differential Equations with Several Non-Monotone Delays

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Keywords

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