一类有理递归序列的简单性态  

A Simple State of Rational Recurrence Sequence

作　　者：曾晓云[1] 孙慧静[1] 

机构地区：[1]海军航空工程学院基础部,山东烟台264001

出　　处：《海军航空工程学院学报》2015年第2期178-180,共3页Journal of Naval Aeronautical and Astronautical University

摘　　要：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.

关 键 词：有理递归序列 有界性 局部渐近稳定 

分 类 号：O175.1[理学—数学]