Title: Eventual periodicity of solutions for some discrete max-type system of third order

Authors: Huili Ma; Haixia Wang

Addresses: College of Business, Northwest Normal University, Lanzhou, Gansu-730070, Lanzhou, China ' College of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu-730070, Lanzhou, China

Abstract: This paper is concerned with the eventually periodicity of the following max-type difference equation system

where n ∈ ℕ, A ∈ ℝ, and the initial values _{𝒳−2; 𝒳−1; 𝒳₀; 𝒴−2; 𝒴−1; 𝒴₀} are arbitrary non-zero numbers.

Keywords: periodic solutions; difference equations; max-type system.

DOI: 10.1504/IJDSDE.2022.122523

International Journal of Dynamical Systems and Differential Equations, 2022 Vol.12 No.1, pp.1 - 35

Received: 27 Aug 2018
Accepted: 19 Apr 2019
Published online: 03 May 2022 *