一类高阶非线性泛函差分方程正解的存在性  

Existence of Positive Solutions of a Certain Class of Higher-order Nonlinear Functional Difference Equations

作　　者：杨甲山[1] 

机构地区：[1]梧州学院数理系,广西梧州543002

出　　处：《中央民族大学学报（自然科学版）》2014年第3期5-9,共5页Journal of Minzu University of China(Natural Sciences Edition)

基　　金：广西教育厅科研项目(No.2013YB223);湖南省科技厅基金项目(No.2012FJ3107)

摘　　要：研究了一类具有正负系数的高阶非线性中立型时滞泛函差分方程的振动性,利用Banach空间的不动点原理,结合一些分析技巧,获得了该类方程存在非振动解的一些新的准则.This paper is concerned with the oscillatory behavior of a class of higher order nonlinear neutral delay functional difference equation with positive and negative coefficients. By using the fixed point theorem in Banach space, and a lot of inequality techniques, some new nonoscillation criteria for the equation were obtained.

关 键 词：正负系数 高阶时滞差分方程 非线性 非振动准则 

分 类 号：O175.7[理学—数学]