On the Solutions of Four Second-Order Nonlinear Difference Equations

Year 2019, Volume: 2 Issue: 3, 116 - 125, 30.09.2019

İnci Okumuş , Yüksel Soykan

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

Cited By: 2

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

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