非自治中立型时滞差分方程的振动性  

Oscillation of Nonautonomous Neutral Difference Equations

作　　者：杨逢建[1] 张超龙[1] 

机构地区：[1]仲恺农业技术学院计算科学系,广东广州510225

出　　处：《数学的实践与认识》2006年第8期313-318,共6页Mathematics in Practice and Theory

基　　金：广东省教育厅自然科学研究项目(Z03052)

摘　　要：研究具有可变时滞的非自治中立型差分方程Δ(xn-cxn-k)+h(n,xn-ln)=0,n=0,1,2,…的振动性,得到了这类差分方程振动的必要条件、充分条件和充要条件,同时得到了这类方程的最终正解存在性判据.equations This paper is concerned with the oscillation of neutral type delay difference △（xn-cxn-k）＋h（n,xn-ln）=0, n=0,1,2,…. By the principle of contraction mapping in Banach space, some criteria of oscillation of these equations are obtained. At the same time, the existence criterion of eventually positive solutions of these equations is presented.

关 键 词：非自治中立型差分方程 可变时滞 振动性 

分 类 号：O175.13[理学—数学]