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386349

An instability theorem for a certain sixth order nonlinear delay differential equation

Article

Last updated: 31 Dec 2024

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Abstract

The aim of this paper is to establish an instability theorem for a certain sixth order nonlinear delay differential equation. The proof of the theorem is based on the use of Lyapunov  Krasovskii functional approach. By this work, we improve an instability result obtained in the literature for a certain sixth order nonlinear differential equation without delay to the instability of the zero solution of a certain sixth order nonlinear delay differential equation.

DOI

10.1016/j.joems.2011.12.006

Keywords

instability, Lyapunov–Krasovskii functional, Delay differential equation, Sixth order

Authors

First Name

Cemil

Last Name

Tunc

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Sciences, Yu¨zu¨ncu¨ Yıl University, 65080 Van, Turkey

Email

cemtunc@yahoo.com

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Orcid

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Volume

20

Article Issue

1

Related Issue

50470

Issue Date

2012-04-01

Receive Date

2024-10-15

Publish Date

2012-04-01

Page Start

43

Page End

45

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_386349.html

Detail API

https://joems.journals.ekb.eg/service?article_code=386349

Order

386,349

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

An instability theorem for a certain sixth order nonlinear delay differential equation

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Article

Created At

21 Dec 2024