NEW OSCILLATION CRITERIA FOR FIRST ORDER LINEAR DIFFERENTIAL EQUATIONS WITH NON-MONOTONE DELAYS

Emad R. Attia; Hassan A. El-Morshedy

doi:10.11948/20210402

NEW OSCILLATION CRITERIA FOR FIRST ORDER LINEAR DIFFERENTIAL EQUATIONS WITH NON-MONOTONE DELAYS

Emad R. Attia
, Hassan A. El-Morshedy

Mathematics

Damietta University

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

3 Scopus citations

Abstract

This paper is concerned with the oscillation of the first order linear delay differential equation x′(t) + q(t)x(τ (t)) = 0, t ≥ t₀, where q, τ ∈ C([t₀, ∞), [0, ∞)), τ (t) ≤ t, such that lim τ (t) = ∞. Several new oscillation t→∞ criteria of iterative and non-iterative types are obtained. Two examples are presented to show the strength and applicability of these criteria over known ones.

Original language	English
Pages (from-to)	1579-1594
Number of pages	16
Journal	Journal of Applied Analysis and Computation
Volume	12
Issue number	4
DOIs	https://doi.org/10.11948/20210402
State	Published - 2022

Keywords

delay differential equations
non-monoton delay
Oscillation criteria

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10.11948/20210402

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title = "NEW OSCILLATION CRITERIA FOR FIRST ORDER LINEAR DIFFERENTIAL EQUATIONS WITH NON-MONOTONE DELAYS",

abstract = "This paper is concerned with the oscillation of the first order linear delay differential equation x′(t) + q(t)x(τ (t)) = 0, t ≥ t0, where q, τ ∈ C([t0, ∞), [0, ∞)), τ (t) ≤ t, such that lim τ (t) = ∞. Several new oscillation t→∞ criteria of iterative and non-iterative types are obtained. Two examples are presented to show the strength and applicability of these criteria over known ones.",

keywords = "delay differential equations, non-monoton delay, Oscillation criteria",

author = "Attia, \{Emad R.\} and El-Morshedy, \{Hassan A.\}",

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AU - Attia, Emad R.

AU - El-Morshedy, Hassan A.

PY - 2022

Y1 - 2022

N2 - This paper is concerned with the oscillation of the first order linear delay differential equation x′(t) + q(t)x(τ (t)) = 0, t ≥ t0, where q, τ ∈ C([t0, ∞), [0, ∞)), τ (t) ≤ t, such that lim τ (t) = ∞. Several new oscillation t→∞ criteria of iterative and non-iterative types are obtained. Two examples are presented to show the strength and applicability of these criteria over known ones.

AB - This paper is concerned with the oscillation of the first order linear delay differential equation x′(t) + q(t)x(τ (t)) = 0, t ≥ t0, where q, τ ∈ C([t0, ∞), [0, ∞)), τ (t) ≤ t, such that lim τ (t) = ∞. Several new oscillation t→∞ criteria of iterative and non-iterative types are obtained. Two examples are presented to show the strength and applicability of these criteria over known ones.

KW - delay differential equations

KW - non-monoton delay

KW - Oscillation criteria

UR - https://www.scopus.com/pages/publications/85134569023

U2 - 10.11948/20210402

DO - 10.11948/20210402

M3 - Article

AN - SCOPUS:85134569023

SN - 2156-907X

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SP - 1579

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JO - Journal of Applied Analysis and Computation

JF - Journal of Applied Analysis and Computation

IS - 4

ER -

NEW OSCILLATION CRITERIA FOR FIRST ORDER LINEAR DIFFERENTIAL EQUATIONS WITH NON-MONOTONE DELAYS

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