Max‐type system of difference equations with positive two‐periodic sequences

This paper deals with the form and the periodicity of the solutions of the max‐type system of difference equationsx n + 1= maxA ny n − 1, x n − 1,y n + 1= maxB nx n − 1, y n − 1, n ∈N 0 , whereN 0= N ∪ { 0 } ,(A n)n ∈ N 0and(B n)n ∈ N 0are positive two‐periodic sequences and initial values x 0 , x  − 1 , y 0 , y  − 1  ∈ (0, + ∞ ). Copyright © 2014 John Wiley & Sons, Ltd.