On the Solutions of Four Second-Order Nonlinear Difference Equations

Authors : Inci Okumuş, Yüksel Soykan

Pages : 116-125

Doi:10.32323/ujma.589274

View : 23 | Download : 12

Publication Date : 2019-09-30

Article Type : Research

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