具连续变量的变系数偶数阶差分方程的有界振动  

Bounded Oscillation for a Class of Even Order Difference Equations with Variable Coefficients and Continuous Arguments

作　　者：黄梅[1] 

机构地区：[1]湖南第一师范学院数学系,长沙410002

出　　处：《应用泛函分析学报》2014年第1期54-58,共5页Acta Analysis Functionalis Applicata

基　　金：湖南省教育厅资助科研课题(10C0524)

摘　　要：研究时滞差分方程解的性质在理论和应用中是非常重要的.本文借助研究离散变量的差分方程振动性的一般方法,研究了一类具有连续变量的变系数偶数阶中立型差分方程的有界解的振动性,给出了有界解振动的几个充分条件.To study the properties of solutions of delay difference equations is very important both in theory and in application. In this paper, we investigated bounded oscillation for a class of even order neutral difference equations with continuous arguments and changed coefficients by technique of discrete arguments. Some sufficient conditions for bounded oscillatio~ of the solutions are obtained.

关 键 词：差分方程 有界解 振动 最终正解 

分 类 号：O175.7[理学—数学]