Oscillation tests for first-order linear differential equations with non-monotone delays

Emad R. Attia

doi:10.1186/s13662-020-03209-4

Oscillation tests for first-order linear differential equations with non-monotone delays

Emad R. Attia

Mathematics

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

6 Scopus citations

Abstract

We study the oscillation of a first-order linear delay differential equation. A new technique is developed and used to obtain new oscillatory criteria for differential equation with non-monotone delay. Some of these results can improve many previous works. An example is introduced to illustrate the effectiveness and applicability of our results.

Original language	English
Article number	41
Journal	Advances in Difference Equations
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13662-020-03209-4
State	Published - Dec 2021

Keywords

Delay differential equations
Non-monotone delays
Oscillation

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10.1186/s13662-020-03209-4

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title = "Oscillation tests for first-order linear differential equations with non-monotone delays",

abstract = "We study the oscillation of a first-order linear delay differential equation. A new technique is developed and used to obtain new oscillatory criteria for differential equation with non-monotone delay. Some of these results can improve many previous works. An example is introduced to illustrate the effectiveness and applicability of our results.",

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AU - Attia, Emad R.

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N2 - We study the oscillation of a first-order linear delay differential equation. A new technique is developed and used to obtain new oscillatory criteria for differential equation with non-monotone delay. Some of these results can improve many previous works. An example is introduced to illustrate the effectiveness and applicability of our results.

AB - We study the oscillation of a first-order linear delay differential equation. A new technique is developed and used to obtain new oscillatory criteria for differential equation with non-monotone delay. Some of these results can improve many previous works. An example is introduced to illustrate the effectiveness and applicability of our results.

KW - Delay differential equations

KW - Non-monotone delays

KW - Oscillation

UR - https://www.scopus.com/pages/publications/85098978222

U2 - 10.1186/s13662-020-03209-4

DO - 10.1186/s13662-020-03209-4

M3 - Article

AN - SCOPUS:85098978222

SN - 1687-1839

VL - 2021

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

M1 - 41

ER -

Oscillation tests for first-order linear differential equations with non-monotone delays

Abstract

Keywords

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