一类有理递归序列的简单性态

A Simple State of Rational Recurrence Sequence

摘要:

在 Alaa E.Hamza和 A.Morsy Alaa等有关有理递归序列 xn +1 =α + xnk -1,n =0,1,2,.的稳定性研究的基础上,xn n -k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 + x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。

Abstract:

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