二阶滞后差分方程的振动  

Oscillation of Second Order Delay Difference Equations

作　　者：石永生 陈泽安[1] 熊令纯[1] 

机构地区：[1]湖南零陵师专,长沙电力学院

出　　处：《长沙铁道学院学报》1996年第4期14-18,共5页Journal of Changsha Railway University

摘　　要：本文研究了二阶滞后差分方程的振动行为：是非负实数序列，为正实数序列且，ｋ为正整数，△Ａｎ＝Ａｎ＋１－Ａｎ．证明了下列条件（Ⅰ）和（Ⅱ）中任何一个都蕴涵着方程（１）的所有解振动．In this paper we study the oscillatory behaviour of the second order delay difference equation.Wherei is a nonnegative sequence of real numbers, is a positive sequence of real numbers with , K is a positive interrer and △An= An+1- An.We prove that each one of the following conditions implies that all the solutims of Eq (1) oscillate,where R(n) =

关 键 词：差分方程 振动 滞后 

分 类 号：O241.84[理学—计算数学]