- Konuralp Journal of Mathematics
- Vol: 8 Issue: 1
- On the Solutions of Four Rational Difference Equations Associated to Tribonacci Numbers
On the Solutions of Four Rational Difference Equations Associated to Tribonacci Numbers
Authors : Inci Okumuş, Yüksel Soykan
Pages : 79-90
View : 10 | Download : 6
Publication Date : 2020-04-15
Article Type : Research
Abstract :In this study, we investigate the form of solutions, stability character and asymptotic behavior of the following four rational difference equations% \begin{eqnarray*} x_{n+1} &=&\frac{1}{x_{n}\left( x_{n-1}\pm 1\right) \pm 1}\text{,} \\ x_{n+1} &=&\frac{-1}{x_{n}\left( x_{n-1}\pm 1\right) \mp 1}\text{,} \end{eqnarray*}% such that their solutions are associated with Tribonacci numbers.Keywords : difference equations, equilibrium point, global asymptotic stability, solutions, tribonacci number