On the Solutions of a Fourth Order Difference Equation

R Abo-zeıd

doi:10.32323/ujma.917838

EN

On the Solutions of a Fourth Order Difference Equation

Abstract

In this paper, we solve and study the global behavior of the well defined solutions of the difference equation $$x_{n+1}=\frac{x_{n}x_{n-3}}{Ax_{n-2}+Bx_{n-3}}, \quad n=0,1,...,$$ where $A, B>0$ and the initial values $x_{-i}$, $i\in\{0,1,2,3\}$ are real numbers.

Keywords

difference equation, invariant set, forbidden set, convergence

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

R Abo-zeıd ^*
Egypt

Publication Date

June 30, 2021

Submission Date

April 16, 2021

Acceptance Date

June 18, 2021

Published in Issue

Year 2021 Volume: 4 Number: 2

DOI

https://doi.org/10.32323/ujma.917838

IZ

https://izlik.org/JA56WR79NZ

APA

Abo-zeıd, R. (2021). On the Solutions of a Fourth Order Difference Equation. Universal Journal of Mathematics and Applications, 4(2), 76-81. https://doi.org/10.32323/ujma.917838

AMA

1.Abo-zeıd R. On the Solutions of a Fourth Order Difference Equation. Univ. J. Math. Appl. 2021;4(2):76-81. doi:10.32323/ujma.917838

Chicago

Abo-zeıd, R. 2021. “On the Solutions of a Fourth Order Difference Equation”. Universal Journal of Mathematics and Applications 4 (2): 76-81. https://doi.org/10.32323/ujma.917838.

EndNote

Abo-zeıd R (June 1, 2021) On the Solutions of a Fourth Order Difference Equation. Universal Journal of Mathematics and Applications 4 2 76–81.

IEEE

[1]R. Abo-zeıd, “On the Solutions of a Fourth Order Difference Equation”, Univ. J. Math. Appl., vol. 4, no. 2, pp. 76–81, June 2021, doi: 10.32323/ujma.917838.

ISNAD

Abo-zeıd, R. “On the Solutions of a Fourth Order Difference Equation”. Universal Journal of Mathematics and Applications 4/2 (June 1, 2021): 76-81. https://doi.org/10.32323/ujma.917838.

JAMA

1.Abo-zeıd R. On the Solutions of a Fourth Order Difference Equation. Univ. J. Math. Appl. 2021;4:76–81.

MLA

Abo-zeıd, R. “On the Solutions of a Fourth Order Difference Equation”. Universal Journal of Mathematics and Applications, vol. 4, no. 2, June 2021, pp. 76-81, doi:10.32323/ujma.917838.

Vancouver

1.R Abo-zeıd. On the Solutions of a Fourth Order Difference Equation. Univ. J. Math. Appl. 2021 Jun. 1;4(2):76-81. doi:10.32323/ujma.917838