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425862

New qualitative results to a kind of non-autonomous third-order neutral delay differential equations

Article

Last updated: 11 May 2025

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Tags

Research and articles conducted by or in which members of the teaching staff

Abstract

In this paper, the qualitative properties of solutions for a kind of non-autonomous third-order neutral delay differential equations (NDDEs) are discussed. New results on the stability, boundedness and square integrability of solutions and their derivatives are obtained by using the method of Lyapunov functional. Our results generalize and extend many related results on third-order neural differential equations with and without delay in the literature. Moreover, an example is given to show the correctness and feasibility of the main results.

DOI

10.21608/djs.2025.372614.1211

Keywords

Third-order, Neutral delay differential equation, Lyapunov functional, stability, Square integrability

Authors

First Name

Ayman

Last Name

Mahmoud

MiddleName

Mohammed

Affiliation

Department of Mathematics, Faculty of Science, New Valley University, El-Khargah 72511, Egypt

Email

math_ayman27@yahoo.com

City

-

Orcid

0000-0002-7662-1503

Volume

50

Article Issue

1

Related Issue

53707

Issue Date

2025-02-01

Receive Date

2025-04-05

Publish Date

2025-02-01

Page Start

66

Page End

84

Print ISSN

1012-5965

Online ISSN

2735-5306

Article File

DJS_Volume 50_Issue 1_Pages 66-84.pdf

PDF . 1.5MB

Link

https://djs.journals.ekb.eg/article_425862.html

Detail API

http://journals.ekb.eg?_action=service&article_code=425862

Order

425,862

Type

Research and Reference

Type Code

1,686

Publication Type

Journal

Publication Title

Delta Journal of Science

Publication Link

https://djs.journals.ekb.eg/

MainTitle

New qualitative results to a kind of non-autonomous third-order neutral delay differential equations

Details

Type

Article

Created At

11 May 2025