一阶时滞差分方程的振动性  

Oscillation of First Order Delay Difference Equations

作　　者：李雪臣[1] 

机构地区：[1]许昌学院,河南许昌461000

出　　处：《许昌学院学报》2005年第5期1-5,共5页Journal of Xuchang University

基　　金：河南省教育厅自然科学基金资助项目(2004601087)

摘　　要：考虑一阶时滞差分方程xn+1-xn+pnxn-k=0,n=0,1,2,…其中{pn}为非负实数列,k为正整数.获得了保证方程每一个解振动的充分条件,所得结果推广了已有文献的结论.In this paper, we consider the first order delay difference equaiton xn＋1-xn＋Pnxn-k=0,n=0,1,2,…there {Pn} is a sequence of nonnegative real numbers and k is a positive integer. We obtain sufficient conditions for the oscillation of all solution to this equation. Our theorems improve all known results in the literature.

关 键 词：振动 非振动 差分方程 

分 类 号：O175.7[理学—数学]