一类有理递归序列的简单性态

A Simple State of Rational Recurrence Sequence

在Alaa E.Hamza和A.Morsy Alaa等有关有理递归序列xn+1=α+xn-1xkn,n=0,1,2,…的稳定性研究的基础上,对时滞为k的情形做了进一步讨论,研究了有理递归序列xn+1=α+xn-kxmn的全局性和有界性,得到了关于该递归序列稳定性的几个判定定理。

On the base of the study of Alaa E.Hamza and A.Morsy Alaa about the stability of the recursive sequence xn ＋ 1= α ＋xn- 1xkn, n = 0,1,2,…, the general case that delay is k was investigated, the global stability and boundness of the recursive sequence xn ＋ 1= α ＋xn- kxmn,n = 0,1,2,…was studied, and some judgment theorems of recursive sequence stability were obtained.