Analytical and Solutions of Fourth Order Difference Equations

Marwa M. Alzubaidi; Elsayed M. Elsayed

doi:10.33434/cams.447757

EN

Analytical and Solutions of Fourth Order Difference Equations

Abstract

In this article, we presented the solutions of the following recursive sequences\[ x_{n+1}=\frac{x_{n-2}x_{n-3}}{x_{n}(\pm1\pm x_{n-2}x_{n-3})}, \] where the initial conditions $x_{-3}\ ,x_{-2}\ ,x_{-1}$\ and $x_{0}\ $are arbitrary real numbers. Also, we studied some dynamic behavior of these equations.

Keywords

Stability,Global attractor,Difference equation,Linearized stability,Periodicity

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Marwa M. Alzubaidi ^*
Saudi Arabia

Elsayed M. Elsayed
Saudi Arabia

Publication Date

March 22, 2019

Submission Date

July 25, 2018

Acceptance Date

November 12, 2018

Published in Issue

Year 2019 Volume: 2 Number: 1

DOI

https://doi.org/10.33434/cams.447757

IZ

https://izlik.org/JA59BC36YN

APA

Alzubaidi, M. M., & Elsayed, E. M. (2019). Analytical and Solutions of Fourth Order Difference Equations. Communications in Advanced Mathematical Sciences, 2(1), 9-21. https://doi.org/10.33434/cams.447757

AMA

1.Alzubaidi MM, Elsayed EM. Analytical and Solutions of Fourth Order Difference Equations. Communications in Advanced Mathematical Sciences. 2019;2(1):9-21. doi:10.33434/cams.447757

Chicago

Alzubaidi, Marwa M., and Elsayed M. Elsayed. 2019. “Analytical and Solutions of Fourth Order Difference Equations”. Communications in Advanced Mathematical Sciences 2 (1): 9-21. https://doi.org/10.33434/cams.447757.

EndNote

Alzubaidi MM, Elsayed EM (March 1, 2019) Analytical and Solutions of Fourth Order Difference Equations. Communications in Advanced Mathematical Sciences 2 1 9–21.

IEEE

[1]M. M. Alzubaidi and E. M. Elsayed, “Analytical and Solutions of Fourth Order Difference Equations”, Communications in Advanced Mathematical Sciences, vol. 2, no. 1, pp. 9–21, Mar. 2019, doi: 10.33434/cams.447757.

ISNAD

Alzubaidi, Marwa M. - Elsayed, Elsayed M. “Analytical and Solutions of Fourth Order Difference Equations”. Communications in Advanced Mathematical Sciences 2/1 (March 1, 2019): 9-21. https://doi.org/10.33434/cams.447757.

JAMA

1.Alzubaidi MM, Elsayed EM. Analytical and Solutions of Fourth Order Difference Equations. Communications in Advanced Mathematical Sciences. 2019;2:9–21.

MLA

Alzubaidi, Marwa M., and Elsayed M. Elsayed. “Analytical and Solutions of Fourth Order Difference Equations”. Communications in Advanced Mathematical Sciences, vol. 2, no. 1, Mar. 2019, pp. 9-21, doi:10.33434/cams.447757.

Vancouver

1.Marwa M. Alzubaidi, Elsayed M. Elsayed. Analytical and Solutions of Fourth Order Difference Equations. Communications in Advanced Mathematical Sciences. 2019 Mar. 1;2(1):9-21. doi:10.33434/cams.447757

Closed-form solutions of systems of nonlinear difference equations and their connections to generalized Fibonacci numbers and related sequences

AIMS Mathematics

https://doi.org/10.3934/math.20251120

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Analytical and Solutions of Fourth Order Difference Equations

Analytical and Solutions of Fourth Order Difference Equations

Abstract

Keywords

Abstract

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

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Closed-form solutions of systems of nonlinear difference equations and their connections to generalized Fibonacci numbers and related sequences