一类非线性时滞差分方程的全局行为  

Global behavior of a class of nonlinear time-delay difference equations

作　　者：苏有慧[1] 宴兴学[1] 

机构地区：[1]河西学院数学系,甘肃张掖734000

出　　处：《兰州理工大学学报》2006年第1期152-154,共3页Journal of Lanzhou University of Technology

基　　金：甘肃省自然科学基金(ZS032-B25-030);甘肃省教育厅科研基金(048-02)

摘　　要：研究了非线性有理差分方程yn+1=yn+αyn-kβ+yn(n=0,1,…)解的全局行为.证明了方程在一定条件下的全局吸引性,推广了相关的已知结果.所得的结果解决了由Kulenvoic和Ladas提出的一个公开问题.Global behavior of nonlinear rational difference equation yn＋1=yn＋ayn-h/β＋yn（n=0,1,…） was investigated. The global attractivity of the equations on some conditions was proved and the known relevant result was generalized. In particular, an open problem proposed by Kulenvoic and Ladas has been solved by using the result obtained.

关 键 词：高阶差分方程 全局吸引子 渐近稳定 周期性 

分 类 号：O175.1[理学—数学]