On The Dynamics Of Solutions Of A Rational Difference Equation Via Generalized Tribonacci Numbers
Dynamical Systems
2019-06-28 v1
Abstract
In this study, we investigate the form of solutions, stability character and asymptotic behavior of the following rational difference equation x_{n+1}=({\gamma}/(x_{n}(x_{n-1}+{\alpha})+\b{eta})), n=0,1,..., where the inital values x_{-1} and x_{0} and {\alpha}, \b{eta} and {\gamma} with {\gamma} are nonnegative real numbers. Its solutions are associated with generalized Tribonacci numbers.
Keywords
Cite
@article{arxiv.1906.11629,
title = {On The Dynamics Of Solutions Of A Rational Difference Equation Via Generalized Tribonacci Numbers},
author = {İnci Okumuş and Yüksel Soykan},
journal= {arXiv preprint arXiv:1906.11629},
year = {2019}
}