| 含连续时滞和阻尼项的二阶半线性微分方程解的振动性 |
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| 引用本文： | 高正晖.含连续时滞和阻尼项的二阶半线性微分方程解的振动性[J].数学的实践与认识,2010,40(13). |
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| 作者姓名： | 高正晖 |
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| 基金项目： | 湖南省教育厅科研计划项目 |
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| 摘 要： | 研究了一类含有连续分布时滞和阻尼项的二阶半线性微分方程运用Riccati变换和H函数方法,获得了该方程解的振动性的若干充分条件.
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| 关 键 词： | 二阶半线性微分方程 连续分布时滞 阻尼项 Riccati变换 振动性 |
Oscillation of the Solutions for Second Order Half-linear Differential Equation with Continuous Distributed Delay Arguments and Damping Terms |
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| GAO Zheng-hui.Oscillation of the Solutions for Second Order Half-linear Differential Equation with Continuous Distributed Delay Arguments and Damping Terms[J].Mathematics in Practice and Theory,2010,40(13). |
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| Authors: | GAO Zheng-hui |
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| Abstract: | This paper studies oscillation for the solutions of second order half-linear differential equation with continuous distributed delay arguments and damping terms.By using Riccati transformation and methods of H function,some new sufficient conditions for the oscillation of each solution of the equation are obtained. |
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| Keywords: | second order half-linear differential equation continuous distributed delay arguments damping terms Riccati transformation oscillation |
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