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Long-term behavior of positive solutions of a system of max-type difference equations
Journal article   Peer reviewed

Long-term behavior of positive solutions of a system of max-type difference equations

Stevo Stević, Mohammed A. Alghamdi, Abdullah Alotaibi and Naseer Shahzad
Applied mathematics and computation, Vol.235, pp.567-574
25/05/2014
DOI: https://doi.org/10.1016/j.amc.2013.11.045

Abstract

Boundedness Global attractivity Max-type difference equation System of difference equations
Some sufficient conditions which guaranty the attractivity of all positive solutions of the next system of difference equationsxn=maxa,yn-1p∏j=2kxn-jqj,yn=maxa,xn-1p∏j=2kyn-jqj,n∈N0,where a,p>0, and qj,j∈{2,…,k}, are nonnegative numbers, are given. The boundedness character of positive solutions of the system is also studied.

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