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中文摘要：
针对高阶有理差分方程xn＋1=a＋∑k＋1i-1B2i-1xn-2i＋1/A＋xn-2i,n=0,1,…,其中k，l为非负整数，a是正数，A，Bi，i=1，2，…，k＋1和初始条件是非负数，给出该方程的每个非负解都收敛于方程的一个二周期解的一个充分条件．
英文摘要：
This paper is concerned with the following higher-order rational difference equation：xn＋1=a＋∑k＋1i-1B2i-1xn-2i＋1/A＋xn-2i,n=0,1,… where k and l are non-negative integers, the parameter a is positive real number, the parameters A,Bi,i=1,2,…,k＋1 and the initial conditions are non-negative real numbers. We give the sufficient conditions, under which every non-negative solution of the equation converges to a period-two solution of the equation.
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