本文给出方程xn+1=-xnxn-1/axn+bxn-2的奇点集,并讨论该方程解的全局行为.我们证明了收敛解要么是一个4周期解,要么收敛到一个4周期解或固定值而不收敛解在一定条件下是无界的.
In this paper, we discuss the global behavior of a rational difference equation xn+1=-xnxn-1/axn+bxn-2We show that for all initial values out side the forbidden set,its convergence solution is ei-ther a 4 periodic solution, or converges to a 4 periodic solution or a fixed value;the non-convergence solu- tion is unbounded under some conditions.