| 二阶中立型微分方程振动性的比较结果 |
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| 引用本文： | 崔晓桃.二阶中立型微分方程振动性的比较结果[J].太原师范学院学报(自然科学版),2012(4):31-33. |
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| 作者姓名： | 崔晓桃 |
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| 作者单位： | 山西大学数学科学学院 |
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| 摘 要： | 考虑二阶中立型时滞微分方程（r（t）x（t）＋p（t）x（τ（t））]′）′＋∑qi（t）x（σ（t））=0，建立了方程振动性与某一阶时滞微分不等式正解存在性之间的比较结果，所得结果改进并完善了以前的相关结论．
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| 关 键 词： | 二阶中立型微分方程 比较定理 振动性 正解 |
Comparison Results of Oscillation for Second-Order Neutral Differential Equations |
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| Cui Xiaotao.Comparison Results of Oscillation for Second-Order Neutral Differential Equations[J].Journal of Taiyuan Normal University:Natural Science Edition,2012(4):31-33. |
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| Authors: | Cui Xiaotao |
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| Institution: | Cui Xiaotao(School of Mathematics Sciences,Shanxi University,Taiyuan 030006,China) |
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| Abstract: | Consider the second order neutral differential equations （r（t）x（t）＋p（t）x（τ（t））]′）′＋∑qi（t）x（σ（t））=0,, and establish new comparison theorems that enable us toreduce the problem of the oscillation of the second order equation to the oscillation of the first or- der differential inequality. The results obtained essentially improve and complement earlier ones. |
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| Keywords: | second order neutral ditterential equations comparLson theorem oscillation positive solution |
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