On The Dynamics Of Solutions Of A Rational Difference Equation Via Generalized Tribonacci Numbers
arXiv:1906.11629
Abstract
In this study, we investigate the form of solutions, stability character and asymptotic behavior of the following rational difference equation x_{n+1}=(γ/(x_{n}(x_{n-1}+α)+\b{eta})), n=0,1,..., where the inital values x_{-1} and x_{0} and α, \b{eta} and γ with γ are nonnegative real numbers. Its solutions are associated with generalized Tribonacci numbers.