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Max‐type system of difference equations with positive two‐periodic sequences
Author(s) -
Ibrahim Tarek F.,
Touafek Nouressadat
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2995
Subject(s) - mathematics , type (biology) , mathematical analysis , pure mathematics , combinatorics , ecology , biology
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.