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381102

On the oscillation of a third order rational difference equation

Article

Last updated: 31 Dec 2024

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Abstract

In this paper, we discuss the global asymptotic stability of all solutions of the difference
equation
xnþ1 ¼ Axn2
B þ Cxnxn1xn2
; n ¼ 0; 1; ...
where A;B; C are positive real numbers and the initial conditions x2; x1; x0 are real
numbers. Although we have an explicit formula for the solutions of that equation, the oscillation
character is worth to be discussed.

DOI

10.1016/j.joems.2014.03.001

Keywords

Difference equation, Locally asymptotically stable, Periodic solution, oscillation

Authors

First Name

R.

Last Name

Abo-Zeid

MiddleName

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Affiliation

Department of Basic Science, High Institute for Engineering & Modern Technology, Cairo, Egypt

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Volume

23

Article Issue

1

Related Issue

50465

Issue Date

2015-04-01

Receive Date

2024-09-22

Publish Date

2015-04-01

Page Start

62

Page End

66

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 1_Pages 62-66.pdf

PDF . 455.2kB

Link

https://joems.journals.ekb.eg/article_381102.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381102

Order

381,102

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

On the oscillation of a third order rational difference equation

Details

Type

Article

Created At

21 Dec 2024