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387283

Attractivity of the recursive sequence xn+1(A −Bx n −2 ) / (C + Dx n −1 )

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Last updated: 05 Jan 2025

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Abstract

In this paper, we investigate the global attractivity of the difference equation
x n +1 =
A − Bx n −2
C + Dx n −1
, n = 0 , 1 , . . . ,
where A , B are nonnegative real numbers, C , D are positive real numbers and C + Dx n −1  = 0 for all
n ≥ 0.

DOI

10.1016/j.joems.2015.08.004

Keywords

Difference equation, Attractivity, Basin of attraction

Authors

First Name

A.

Last Name

Ahmed

MiddleName

M. Ah

Affiliation

Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt

Email

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City

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Orcid

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First Name

N.

Last Name

Eshtewy

MiddleName

A.

Affiliation

Department of Mathematics, Faculty of Science Arish, Suez Canal University, 41522, Ismailia, Egypt

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Volume

24

Article Issue

3

Related Issue

51065

Issue Date

2016-09-01

Receive Date

2024-10-21

Publish Date

2016-09-01

Page Start

392

Page End

395

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_387283.html

Detail API

https://joems.journals.ekb.eg/service?article_code=387283

Order

387,283

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

Attractivity of the recursive sequence xn+1(A −Bx n −2 ) / (C + Dx n −1 )

Details

Type

Article

Created At

21 Dec 2024