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二阶中立型时滞差分方程的振动性与正解存在性
引用本文:欧阳瑞,陈春华.二阶中立型时滞差分方程的振动性与正解存在性[J].四川理工学院学报(自然科学版),2011,24(2):145-147.
作者姓名:欧阳瑞  陈春华
作者单位: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
基金项目: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。

关 键 词:中立型差分方程  振动性  正解存在性

On the Oscillation of Solutions and Existence of Positive Solutions of Second Order Neutral Delay Difference Equations
OUYANG Rui,CHEN Chun-hua.On the Oscillation of Solutions and Existence of Positive Solutions of Second Order Neutral Delay Difference Equations[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2011,24(2):145-147.
Authors:OUYANG Rui  CHEN Chun-hua
Institution:OUYANG Rui1,CHEN Chun-hua2(1.Department of Mathmatics,Zhoukou Normal University,Zhoukou 466000,China,2.Department of Chemical,China)
Abstract: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.
Keywords:netural difference equations  oscillation  existence of positive solutions  
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