摘要
研究了一类带有最大值项的高阶非线性中立型时滞差分方程正解的存在性,利用Banach空间的不动点原理和一些分析技巧,得到了这类方程存在最终正解的几个充分条件,同时给出例子验证其有效性.
In this paper, the existence of positive solution for a class of the higher order nonlinear neutral delay difference equations with "maxima" is studied. By using the fixed point theorem in Banach space and some necessary techniques, some sufficient conditions for the existence of eventually positive solution of the equations are obtained. The examples are presented to illustrate the effects of our theorems.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2011年第6期811-815,共5页
Journal of Sichuan Normal University(Natural Science)
基金
湖南省教育厅科研基金(09A082和07C680)资助项目
关键词
最大值项
非线性
中立型时滞差分方程
不动点原理
最终正解
maxima
nonlinear
neutral delay difference equation
fixed point theorem
eventually positive solution