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

M. E. Erdogan

Journal of Applied Mathematics, 2023, vol. 2023, issue 1

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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https://doi.org/10.1155/2023/5726617

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2023:y:2023:i:1:n:5726617

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