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where the initial values x 1 , x 0 , y 1 and y 0 are arbitrary nonzero real numbers and the parameters a, b and c are arbitrary real numbers with c ¤ 0. In particular we represent the solutions of some particular cases of this system in terms of Tribonacci and Padovan numbers and we prove the global stability of the corresponding positive equilibrium points. The results obtained here extend those obtained in some recent papers.

This paper deals with the form and the periodicity of the solutions of the max-type system of difference equationswhereA n / n2N0 and .B n / n2N0 are positive two-periodic sequences and initial values x 0 , x 1 , y 0 , y 1 2 .0, C1/.