On the Solutions of Four Second-Order Nonlinear Difference Equations

İnci Okumuş; Yüksel Soykan

doi:10.32323/ujma.589274

EN

On the Solutions of Four Second-Order Nonlinear Difference Equations

Abstract

This paper deals with the form, the stability character, the periodicity and the global behavior of solutions of the following four rational difference equations \[x_{n+1} &=\frac{\pm 1}{x_{n}\left( x_{n-1}\pm 1\right) -1} \\ x_{n+1} &=\frac{\pm 1}{x_{n}\left( x_{n-1}\mp 1\right) +1}\text{.} \].

Keywords

Difference equation,Equilibrium point,Form of solutions,Periodicity,Asymptotic stability

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

İnci Okumuş ^*
0000-0003-3711-8144
Türkiye

Yüksel Soykan
0000-0002-1895-211X
Türkiye

Publication Date

September 30, 2019

Submission Date

July 9, 2019

Acceptance Date

September 20, 2019

Published in Issue

Year 2019 Volume: 2 Number: 3

DOI

https://doi.org/10.32323/ujma.589274

IZ

https://izlik.org/JA98SZ65SB

APA

Okumuş, İ., & Soykan, Y. (2019). On the Solutions of Four Second-Order Nonlinear Difference Equations. Universal Journal of Mathematics and Applications, 2(3), 116-125. https://doi.org/10.32323/ujma.589274

AMA

1.Okumuş İ, Soykan Y. On the Solutions of Four Second-Order Nonlinear Difference Equations. Univ. J. Math. Appl. 2019;2(3):116-125. doi:10.32323/ujma.589274

Chicago

Okumuş, İnci, and Yüksel Soykan. 2019. “On the Solutions of Four Second-Order Nonlinear Difference Equations”. Universal Journal of Mathematics and Applications 2 (3): 116-25. https://doi.org/10.32323/ujma.589274.

EndNote

Okumuş İ, Soykan Y (September 1, 2019) On the Solutions of Four Second-Order Nonlinear Difference Equations. Universal Journal of Mathematics and Applications 2 3 116–125.

IEEE

[1]İ. Okumuş and Y. Soykan, “On the Solutions of Four Second-Order Nonlinear Difference Equations”, Univ. J. Math. Appl., vol. 2, no. 3, pp. 116–125, Sept. 2019, doi: 10.32323/ujma.589274.

ISNAD

Okumuş, İnci - Soykan, Yüksel. “On the Solutions of Four Second-Order Nonlinear Difference Equations”. Universal Journal of Mathematics and Applications 2/3 (September 1, 2019): 116-125. https://doi.org/10.32323/ujma.589274.

JAMA

1.Okumuş İ, Soykan Y. On the Solutions of Four Second-Order Nonlinear Difference Equations. Univ. J. Math. Appl. 2019;2:116–125.

MLA

Okumuş, İnci, and Yüksel Soykan. “On the Solutions of Four Second-Order Nonlinear Difference Equations”. Universal Journal of Mathematics and Applications, vol. 2, no. 3, Sept. 2019, pp. 116-25, doi:10.32323/ujma.589274.

Vancouver

1.İnci Okumuş, Yüksel Soykan. On the Solutions of Four Second-Order Nonlinear Difference Equations. Univ. J. Math. Appl. 2019 Sep. 1;2(3):116-25. doi:10.32323/ujma.589274