The Periodicity of Positive Solutions of the Nonlinear Difference Equationxn+1=α+(xn−k<…

We give a remark about the periodic character of positivesolutions of the difference equation xn+1=α+xn−kp/xnq, n=0,1,…, where k>1 is an odd integer, α,p, q∈(0,∞), and the initial conditions x−k,…,x0 are arbitrary positive numbers