On the solutions of a system of difference equations with maximum

Taixiang Sun and Hongjian Xi

Applied Mathematics and Computation, 2016, vol. 290, issue C, 292-297

Abstract: In this paper, we study the following max-type system of difference equations {xn=max{1xn−m,min{1,Ayn−r}},yn=max{1yn−m,min{1,Bxn−t}},n∈N0where A,B∈(0,+∞),m,r,t∈{1,2,…} with r ≠ m and t ≠ m. We show that every solution of this system with the initial values x−d,y−d,x−d+1,y−d+1,…,x−1,y−1∈(0,+∞) is eventually periodic with period 2m, where d=max{m,r,t}.

Keywords: Max-type system of difference equations; Solution; Eventual periodicity (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:290:y:2016:i:c:p:292-297

DOI: 10.1016/j.amc.2016.06.020

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