Closed form expression of tractable semi-max-type two-dimensional system of difference equations with variable coefficients - Egyptian Knowledge Bank

387467

Closed form expression of tractable semi-max-type two-dimensional system of difference equations with variable coefficients

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Last updated: 31 Dec 2024

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Abstract

In this paper we shall examine the periodicity and formularization of the solutions for a
system of semi-max-type difference equations of second order in the form
x n +1 = max

A n
y n −1
, x n −1

,
y n +1 = min

B n
x n −1
, y n −1

,
n ∈ N 0 , where N 0 = N ∪ { 0 } , (A n ) n ∈ N 0 and (B n ) n ∈ N 0 are two-periodic positive sequences, and initial
values x 0 , x −1 , y 0 , y −1 ∈ (0 , + ∞ ) .

DOI

10.1016/j.joems.2016.03.002

Keywords

Eventually periodic solutions, difference equations, Semi-max-type system

Authors

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First Name

Tarek

Last Name

Ibrahim

MiddleName

Affiliation

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt

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City

Orcid

Volume

Article Issue

Related Issue

51066

Issue Date

2016-12-01

Receive Date

2024-10-22

Publish Date

2016-12-01

Page Start

538

Page End

544

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 4_Pages 538-544.pdf

PDF . 418.1kB

Link

https://joems.journals.ekb.eg/article_387467.html

Detail API

https://joems.journals.ekb.eg/service?article_code=387467

Order

387,467

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

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