General form of the solutions of some difference equations via Lie symmetry analysis
Dynamical Systems
2019-10-16 v1 Exactly Solvable and Integrable Systems
Abstract
In this paper, we obtain exact solutions of the following rational difference equation where and are random real sequences, by using the technique of Lie symmetry analysis. Moreover, we discuss the periodic nature and behavior of solutions for some special cases. This work is a generalization of some works by Elsayed and Ibrahim in [E.M.Elsayed, T. F. Ibrahim, { Solutions and periodicity of a rational recursive sequences of order five}, Bulletin of the Malaysian Mathematical Sciences Society 38:1 (2015), 95-112].
Keywords
Cite
@article{arxiv.1910.06880,
title = {General form of the solutions of some difference equations via Lie symmetry analysis},
author = {Mensah Folly-Gbetoula and Melih Göcen and Miraç Güneysu},
journal= {arXiv preprint arXiv:1910.06880},
year = {2019}
}
Comments
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