On the Global Asymptotic Stability and 4-Period Oscillation of the Third-Order Difference Equation

The main objective of this paper is to study the global behavior and oscillation of the following third-order rational difference equation xn+1=αxnxn−1xn−2/βxn−12+γxn−22, where the initial conditions x−2,x−1,x0 are nonzero real numbers and α,β,γ are positive constants such that α≤β+γ. Visual example...

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Bibliographic Details
Main Author: M. E. Erdogan
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2023/5726617
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