| 具有变系数的二阶中立型差分方程 |
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| 引用本文： | 黄梅,申建华.具有变系数的二阶中立型差分方程[J].应用泛函分析学报,2008,10(4):324-328. |
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| 作者姓名： | 黄梅 申建华 |
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| 作者单位： | 1. 湖南省第一师范数理系,长沙,410002
2. 湖南师范大学,数学与计算机科学学院,长沙,410081 |
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| 基金项目： | 湖南省教育厅资助科研课题
，
湖南省高校青年骨干教师培养基金资助
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| 摘 要： | 研究一类具有变系数的二阶中立型时滞差分方程
△τ^2x（t）-c（t）x（t-τ）]=p（t）x（t-σ），t≥t0〉0
的解的振动性，给出了该类方程一切有界解振动的几个充分条件．
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| 关 键 词： | 中立型差分方程 有界解 振动 非振动 |
A Class of Second Order Neutral Difference Equations with Changed Coefficients |
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| HUANG Mei,SHEN Jian-huai.A Class of Second Order Neutral Difference Equations with Changed Coefficients[J].Acta Analysis Functionalis Applicata,2008,10(4):324-328. |
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| Authors: | HUANG Mei SHEN Jian-huai |
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| Institution: | HUANG Mei, SHEN Jian-huai( 1. Department of Mathematics and Physics, Hunan First Normal College, Changsha 410002, China; 2. College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China) |
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| Abstract: | The present paper studies the oscillation of solutions for a class of second order neutral delay difference equations with changed coefficients △τ^2x（t）-c（t）x（t-τ）]=p（t）x（t-σ）,t≥t0〉0. Some sufficient conditions for bounded oscillation of the solutions of the equation are obtained. |
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| Keywords: | neutral difference equation bounded solution oscillation nonoscillation |
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