A simplification and generalization of Elsayed's two-dimensional system of third order difference equations
General Mathematics
2019-10-22 v1
Abstract
A full Lie analysis of a system of third-order difference equations is performed. Explicit solutions, expressed in terms of the initial values, are derived. Furthermore, we give sufficient conditions for existence of 2-periodic and 4-periodic solutions in certain cases. Our results generalize and simplify the work by Elsayed and Ibrahim [E. M. Elsayed and T.F. Ibrahim, Periodicity and solutions for some systems of nonlinear rational difference equations, Hacettepe Journal of Mathematics and Statistics 44:6 (2015), 1361-1390].
Cite
@article{arxiv.1910.09350,
title = {A simplification and generalization of Elsayed's two-dimensional system of third order difference equations},
author = {M. Folly-Gbetoula and D. Nyirenda},
journal= {arXiv preprint arXiv:1910.09350},
year = {2019}
}
Comments
22 pages, 4 figures