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194323

On the distribution of zeros of solutions of a first order neutral differential equation

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Last updated: 05 Jan 2025

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Abstract

This paper is devoted to study the distribution of zeros of all solutions of the first-order neutral
differential equation
[x(t) — px(t — T)]' + Q(t)x(t — σ) = 0, t > t0,
where p > 1, τ,σ > 0 , and Q ∈ C([t0, ∞), (0, ∞)).
We obtain new estimates for the distance between adjacent zeros of all solutions of the above equation
under suitable criteria. Our results are supported with illustrative examples.

DOI

10.21608/sjdfs.2015.194323

Keywords

Distribution of zeros, Oscillation, Neutral differential equations

Authors

First Name

F.

Last Name

Baker

MiddleName

A.

Affiliation

Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt

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Orcid

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First Name

H.

Last Name

El-Morshedy

MiddleName

A.

Affiliation

Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt

Email

elmorshedy@yahoo.com

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Orcid

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Volume

4

Article Issue

1

Related Issue

27620

Issue Date

2015-11-01

Receive Date

2014-11-20

Publish Date

2015-11-01

Page Start

1

Page End

9

Print ISSN

2314-8594

Online ISSN

2314-8616

Article File

SJDFS_Volume 4_Issue 1_Pages 1-9.pdf

PDF . 3.8MB

Link

https://sjdfs.journals.ekb.eg/article_194323.html

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https://sjdfs.journals.ekb.eg/service?article_code=194323

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Original articles

Type Code

2,045

Publication Type

Journal

Publication Title

Scientific Journal for Damietta Faculty of Science

Publication Link

https://sjdfs.journals.ekb.eg/

MainTitle

On the distribution of zeros of solutions of a first order neutral differential equation

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Article

Created At

23 Jan 2023