| 具有可变时滞的高阶非线性非自治差分方程的振动性 |
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| 引用本文： | 杨逢建,张超龙. 具有可变时滞的高阶非线性非自治差分方程的振动性[J]. 大学数学, 2007, 23(6): 38-44 |
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| 作者姓名： | 杨逢建 张超龙 |
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| 作者单位： | 仲恺农业技术学院,计算科学系,广州,510225;仲恺农业技术学院,计算科学系,广州,510225 |
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| 基金项目： | 广州市科技计划项目(2006j1-c0341) |
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| 摘 要： | 研究具有可变时滞的高阶非自治中立型差分方程Δm(xn-cnxn-k)+h(n,xn-ln)=0,n=0,1,2,…的振动性.利用方程的最终正解和最终负解导致序列{Δi(xn-cnxn-k)}(i=0,1,2,…,m-1)的最终单调和保号性,得到了这类差分方程振动的一系列充分条件.
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| 关 键 词： | 非线性非自治差分方程 可变时滞 振动性 最终正解 |
Oscillation of Higher Order Nonlinear Nonautonomous Difference Equations with Variable Delay |
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| YANG Feng-jian,ZHANG Chao-long. Oscillation of Higher Order Nonlinear Nonautonomous Difference Equations with Variable Delay[J]. College Mathematics, 2007, 23(6): 38-44 |
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| Authors: | YANG Feng-jian ZHANG Chao-long |
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| Abstract: | This paper is concerned with the oscillation of higher order nonlinear nonautonomous delay difference equationΔm(xn-cnxn-k)+h(n,xn-ln)=0,n=0,1,2,…By means of studying eventually positive solution and eventually negative solution of this equation,and the monotony of the sequences {Δi(xn-cnxnk)}(i=0,1,2,…,m-1).Some sufficient conditions of oscillation for this equation are obtained. |
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| Keywords: | nonlinear nonautonomous difference equations variable delay oscillation eventually positive solutions |
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