二阶中立型时滞差分方程的振动性与正解存在性  

On the Oscillation of Solutions and Existence of Positive Solutions of Second Order Neutral Delay Difference Equations

作　　者：欧阳瑞[1] 陈春华[2] 

机构地区：[1]周口师范学院数学系,河南周口466000 [2]周口师范学院化学系,河南周口466000

出　　处：《四川理工学院学报（自然科学版）》2011年第2期145-147,共3页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

基　　金：周口师范学院青年基金项目(201027A)

摘　　要：文章在已有文献的基础上,利用反证法和构造序列的方法,研究了一类二阶中立型时滞差分方程的振动性与正解存在性,得到了此类方程振动与非振动的几个充分条件,推广并改进了已有文献中关于此类振动性的结论,丰富了这类方程的研究结果,从而具有更广泛的应用性。The oscillation of solutions and existence of positive solutions of a kind of second order nertral delay differerce equations is studied in this paper,some sufficient conditions for oscillation of the equation are obtained by method of reduction to absurdity and construct serial.These results in the previous papers are expanded and improved.Accordingly,this paper has broader application.

关 键 词：中立型差分方程 振动性 正解存在性 

分 类 号：O175.7[理学—数学]