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

Abstract

Some sufficient conditions which guaranty the attractivity of all positive solutions of the next system of difference equations xn=max{a,y n-1p∏;j=2kxn-jqj}, yn=max{a,xn-1∏j=2kyn-jqj}, nεN0,where a,p>0, and qj,jε{2,⋯,k}, are nonnegative numbers, are given. The boundedness character of positive solutions of the system is also studied.