具连续变量和最大值项的二阶差分方程的振动性  

Oscillation for Certain Second-order Difference Equations with Continuous Arguments and Maxima

作　　者：杨甲山[1] 

机构地区：[1]梧州学院数理系,梧州543002

出　　处：《应用泛函分析学报》2014年第1期59-65,共7页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(11071222);湖南省科技厅基金(2012FJ3107)

摘　　要：研究了一类具有最大值项和连续变量的非线性二阶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不等式技巧,得到了这类方程存在最终正解的充分条件,并得到了该方程振动的一些判别准则.The oscillation of a class of second order nonlinear neutral delay difference equations with continuous arguments and maxima was discussed in this article. Using the fixed point theorem in Banach space and the inequality technique, some new sufficient conditions for the existence of eventually positive solution of the equations are obtained. In addition, some criteria for the oscillation of the equation are proposed.

关 键 词：振动和非振动 最大值 连续变量 中立型时滞差分方程 

分 类 号：O175.7[理学—数学]