On certain sixth order difference equations
Dynamical Systems
2019-02-19 v1
Abstract
We use the Lie group analysis method to investigate the invariance properties and the solutions of \begin{align*} x_{n+1} =\frac{x_{n-5}x_{n-3}}{x_{n-1}(a_n +b_nx_{n-5}x_{n-3})}. \end{align*} We show that this equation has a two-dimensional Lie algebra and that its solutions can be presented in a unified manner. Besides presenting solutions of the recursive sequence above where and are sequences of real numbers, some specific cases are emphasized.
Cite
@article{arxiv.1902.06518,
title = {On certain sixth order difference equations},
author = {D. Nyirenda and M. Folly-Gbetoula},
journal= {arXiv preprint arXiv:1902.06518},
year = {2019}
}
Comments
14 pages