具连续变量的高阶非线性变时滞差分方程的正解(英文)  

Positive Solution for Nonlinear Higher-Order Neutral Variable Delay Difference Equations with Continuous Arguments

作　　者：杨甲山[1] 刘兴元[1] 

机构地区：[1]邵阳学院理学与信息科学系,湖南邵阳422004

出　　处：《吉首大学学报（自然科学版）》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)

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.

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 

分 类 号：O175.7[理学—数学]