具连续变量的高阶差分方程的振动与非振动准则  

Oscillation and nonoscillation criteria for higher order difference equations with continuous arguments

作　　者：杨甲山[1] 方彬[2] 

机构地区：[1]邵阳学院理学与信息科学系,湖南邵阳422004 [2]信阳师范学院数学与信息科学学院,河南信阳464000

出　　处：《安徽大学学报（自然科学版）》2011年第3期14-18,共5页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11071222);湖南省教育厅自然科学基金重点资助项目(09A082)

摘　　要：研究一类具有连续变量的高阶非线性中立型时滞差分方程的振动性,利用Banach空间的不动点原理和一些分析技巧,得到这类方程振动和非振动的一些新的判别准则,同时给出例子验证其有效性.In this paper,the oscillation of a class of higher order nonlinear neutral delay difference equations with continuous arguments was studied.Using the fixed point theorem in Banach space and some necessary techniques,some new oscillation and nonoscillation criteria for the higher order nonlinear difference equations were obtained.The examples were presented to illustrate the effectiveness of our theorems.

关 键 词：连续变量 非线性 不动点原理 最终正解 振动 

分 类 号：O175.7[理学—数学]