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

M. E. Erdogan and Sheng Zhang

Journal of Applied Mathematics, 2023, vol. 2023, 1-7

Abstract: 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 examples supporting solutions are given at the end of the study. The figures are found with the help of MATLAB.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:5726617

DOI: 10.1155/2023/5726617

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