Global Dynamical Behaviours and Periodicity of a Certain Quadratic-Rational Difference Equation with Delay
Dynamical Systems
2021-12-21 v1
Abstract
Our aim in this paper is to deal with the dynamics of following higher order difference equation x_{n+1}=A+B((x_{n-m})/(x_{n}^2)) where A,B>0, and initial values are positive, and m={1,2,...}. Furthermore, we discuss the periodicity, boundedness, semi-cycles, global asymptotic stability of solutions of these equations. We also handle the rate of convergence of solutions of these difference equations.
Keywords
Cite
@article{arxiv.2112.09983,
title = {Global Dynamical Behaviours and Periodicity of a Certain Quadratic-Rational Difference Equation with Delay},
author = {Erkan Taşdemir and Melih Göcen and Yüksel Soykan},
journal= {arXiv preprint arXiv:2112.09983},
year = {2021}
}
Comments
12 pages