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具连续变量的高阶非线性中立型时滞差分方程的振动性
引用本文:张萍,杨甲山.具连续变量的高阶非线性中立型时滞差分方程的振动性[J].邵阳学院学报(自然科学版),2011,8(2):19-22.
作者姓名:张萍  杨甲山
作者单位:中南大学数学科学与计算技术学院,湖南长沙410075 [2]邵阳学院理学与信息科学系,湖南邵阳422004
摘    要:本文用分析的方法研究了一类具有连续变量的高阶非线性中立型时滞差分方程△d(a(t)x(t)-p(t)x(t-τ))+q(t)f(x(t-σ))=0解的振动性,得到了该方程振动的若干充分条件.

关 键 词:中立型差分方程  非线性  连续变量  振动性

Oscillation for a Class of Higher Order Nonlinear Neutral Delay Difference Equations with Continuous Arguments
ZHANG Ping ,YANG Jia-shan.Oscillation for a Class of Higher Order Nonlinear Neutral Delay Difference Equations with Continuous Arguments[J].Journal of Shaoyang University:Science and Technology,2011,8(2):19-22.
Authors:ZHANG Ping    YANG Jia-shan
Institution:ZHANG Ping 1,2,YANG Jia-shan2(1.Institute of Mathematical Sciences and Computing Technology,Central South University,Changsha,Hunan 410075,China,2.Department of Science and Information,Shaoyang University,Shaoyang,Hunan 422004,China)
Abstract:The oscillation of solutions for a class of higher order nonlinear neutral delay difference equation with continuous arguments △d(a(t)x(t)-p(t)x(t-τ))+q(t)f(x(t-σ))=0 is investigated by using the method of analysis.Some sufficient conditions for oscillato
Keywords:neutral difference equation  nonlinear  continuous arguments  oscillation
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