EVENTUAL PERIODICITY OF A MAX-TYPE SYSTEM OF DIFFERENCE EQUATIONS OF HIGHER ORDER WITH FOUR VARIABLES

摘要

The aim of this paper is to investigate eventual periodicity of the following max-type system of difference equations of higher order with four variables {u(n) = max{A,Sn-k/Vn-1}, V-n=max{A,t(n-k)/u(n-1)}, S-n = max{C,u(n-k)/t(n-1)}, t(n) = max {D, n(n-k)/s(n-1)}(,) n is an element of{0, 1, 2, . . .}, where k is a positive integer, A, B,C, D is an element of (0,+infinity) with A AC = 1 or AC > 1, then every solution of this system is eventually periodic.