摘要:In this article we study the global convergence result, boundedness, and periodicity of solutions of the difference equation x n + 1 = a x n - s + b x n - l + c x n - k d x n - l + e x n - k n = 0 , 1 , … , where the parameters a, b, c, d and e are positive real numbers and the initial conditions x-t, x-t+1, . . . , x-1 and x0 are positive real numbers where t = max{s, l, k}. Mathematics Subject Classification: 39A10.