| 含时滞与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,罗李平.含时滞与阻尼项的二阶半线性微分方程解的振动性[J].北京工商大学学报(自然科学版),2010,28(5):75-77. |
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| 作者姓名： | 高正晖 罗李平 |
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| 作者单位： | 衡阳师范学院,数学系,湖南,衡阳,421008 |
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| 基金项目： | 湖南省教育厅科研项目(07C164) |
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| 摘 要： | 研究了一类含有时滞与阻尼项的二阶半线性微分方程r(t)|x′(t)|α-1x′(t)]′+p(t)|x′(t)|α-1x′(t)+q(t)|x(σ(t))|α-1x(σ(t))=0(t>T),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 时滞 Riccati变换 阻尼次 振动性 |
OSCILLATION OF SOLUTIONS FOR SECOND ORDER
HALF-LINEAR DIFFERENTIAL EQUATION WITH
DELAY ARGUMENTS AND DAMPING TERMS |
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| GAO Zheng-hui and LUO Li-ping.OSCILLATION OF SOLUTIONS FOR SECOND ORDER
HALF-LINEAR DIFFERENTIAL EQUATION WITH
DELAY ARGUMENTS AND DAMPING TERMS[J].Journal of Beijing Technology and Business University:Natural Science Edition,2010,28(5):75-77. |
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| Authors: | GAO Zheng-hui and LUO Li-ping |
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| Institution: | GAO Zheng-hui,LUO Li-ping(Department of Mathematics Hengyang Normal University,Hengyang 421008,China) |
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| Abstract: | Oscillation for the solutions of second order half-linear differential equation with delay arguments and damping terms were studied.By using Riccati transformation and methods of H function,some new sufficient conditions for the oscillation of each solution of the equation were obtained. |
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| Keywords: | second order half-linear differential equation delay Riccati transformation damping terms oscillation |
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