On the dynamical behaviors and periodicity of difference equation of order three

Ibraheem Alsulami; Elsayed Elsayed

doi:10.54187/jnrs.1037024

EN

On the dynamical behaviors and periodicity of difference equation of order three

Abstract

The major target of our research paper is to demonstrate the boundedness, stability and periodicity of the solutions of the following third- order difference equation $$ w_{n+1} = \alpha w_{n} +\frac {\beta+ \gamma w_{n_-2} }{\delta+\zeta w_{n-2}} , \;\;\;\; n = 0,1,2,\dots $$ where $w_{-2}$, $w_{-1}$, and $w_{0} $ are arbitrary real numbers and the values $\alpha$, $\beta$, $\gamma$, $\delta$, and $\zeta$ are defined as positive constants.

Keywords

Periodicity, Stability, Boundedness, Difference equations

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ibraheem Alsulami ^*
0000-0002-2174-6915
Saudi Arabia

Elsayed Elsayed
0000-0003-0894-8472
Saudi Arabia

Publication Date

April 30, 2022

Submission Date

December 15, 2021

Acceptance Date

April 1, 2022

Published in Issue

Year 2022 Volume: 11 Number: 1

DOI

https://doi.org/10.54187/jnrs.1037024

IZ

https://izlik.org/JA73ZR63LK

APA

Alsulami, I., & Elsayed, E. (2022). On the dynamical behaviors and periodicity of difference equation of order three. Journal of New Results in Science, 11(1), 48-61. https://doi.org/10.54187/jnrs.1037024

AMA

1.Alsulami I, Elsayed E. On the dynamical behaviors and periodicity of difference equation of order three. JNRS. 2022;11(1):48-61. doi:10.54187/jnrs.1037024

Chicago

Alsulami, Ibraheem, and Elsayed Elsayed. 2022. “On the Dynamical Behaviors and Periodicity of Difference Equation of Order Three”. Journal of New Results in Science 11 (1): 48-61. https://doi.org/10.54187/jnrs.1037024.

EndNote

Alsulami I, Elsayed E (April 1, 2022) On the dynamical behaviors and periodicity of difference equation of order three. Journal of New Results in Science 11 1 48–61.

IEEE

[1]I. Alsulami and E. Elsayed, “On the dynamical behaviors and periodicity of difference equation of order three”, JNRS, vol. 11, no. 1, pp. 48–61, Apr. 2022, doi: 10.54187/jnrs.1037024.

ISNAD

Alsulami, Ibraheem - Elsayed, Elsayed. “On the Dynamical Behaviors and Periodicity of Difference Equation of Order Three”. Journal of New Results in Science 11/1 (April 1, 2022): 48-61. https://doi.org/10.54187/jnrs.1037024.

JAMA

1.Alsulami I, Elsayed E. On the dynamical behaviors and periodicity of difference equation of order three. JNRS. 2022;11:48–61.

MLA

Alsulami, Ibraheem, and Elsayed Elsayed. “On the Dynamical Behaviors and Periodicity of Difference Equation of Order Three”. Journal of New Results in Science, vol. 11, no. 1, Apr. 2022, pp. 48-61, doi:10.54187/jnrs.1037024.

Vancouver

1.Ibraheem Alsulami, Elsayed Elsayed. On the dynamical behaviors and periodicity of difference equation of order three. JNRS. 2022 Apr. 1;11(1):48-61. doi:10.54187/jnrs.1037024