摘要
研究了一类具有连续变量的高阶非线性变时滞中立型差分方程,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新的充分条件,同时给出实例验证其有效性.
Positive solution for a class of nonlinear higher-order neutral variable delay difference equations with continuous arguments is studied.Using the fixed point theorem in Banach space and a lot of inequality techniques,some sufficient conditions for the existence of eventually positive solution for the equations are obtained.The examples are presented to illustrate the effects of our theorems.
出处
《吉首大学学报（自然科学版）》
CAS
2013年第3期1-6,共6页
Journal of Jishou University(Natural Sciences Edition)
基金
Supported by Natural Science Foundation of Hunan Province(12JJ6006)
Hunan Province Science and Technology Project(2012FJ3107)
关键词
最终正解
连续变量
非线性
中立型时滞差分方程
不动点原理
eventually positive solution
continuous arguments
nonlinear
neutral delay difference equation
fixed point theorem
