381047

On the dynamics of a higher order rational difference equations

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Last updated: 05 Jan 2025

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Abstract

The main objective of this paper is to study the global stability of the positive solutions and the periodic
character of the difference equation
yn+1 = ayn + byn−t + cyn−l + dyn−k + eyn−s
αyn−k + βyn−s
, n = 0, 1, . . .,
with positive parameters and non-negative initial conditions. Numerical examples to the difference equation are given to explain our results.

DOI

10.1016/j.joems.2016.06.010

Volume

25

Article Issue

1

Related Issue

50395

Issue Date

2017-03-01

Receive Date

2024-09-22

Publish Date

2017-03-01

Page Start

28

Page End

36

Print ISSN

1110-256X

Online ISSN

2090-9128

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https://joems.journals.ekb.eg/article_381047.html

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https://joems.journals.ekb.eg/service?article_code=381047

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381,047

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Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

On the dynamics of a higher order rational difference equations

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Type

Article

Created At

21 Dec 2024