Boundedness of solutions and stability of certain second-order difference equation with quadratic term

Abstract We consider the second-order rational difference equation xn+1=γ+δxnxn−12, $$ {x_{n+1}=\gamma +\delta \frac{x_{n}}{x^{2}_{n-1}}}, $$ where γ, δ are positive real numbers and the initial conditions x−1 $x_{-1}$ and x0 $x_{0}$ are positive real numbers. Boundedness along with global attractiv...

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Bibliographic Details
Main Authors: Emin Bešo, Senada Kalabušić, Naida Mujić, Esmir Pilav
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Advances in Difference Equations
Subjects:
Online Access:https://doi.org/10.1186/s13662-019-2490-9