| 半线性二阶阻尼微分方程的振动定理 |
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| 引用本文： | 陈目.半线性二阶阻尼微分方程的振动定理[J].大学数学,2007,23(4):66-72. |
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| 作者姓名： | 陈目 |
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| 作者单位： | 湛江教育学院,数学系,广东,湛江,524037 |
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| 摘 要： | 利用积分平均技巧,得到了半线性二阶阻尼微分方程a(t)|x′(t)|α-1x′(t)]′+p(t)k(t,x(t),x′(t))x′(t)+q(t)|x(t)|α-1x(t)=0的一些新的振动定理.这些结果改进和推广了Manojlovic J V5]的结果.
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| 关 键 词： | 振动 半线性微分方程 阻尼 积分平均法 |
| 文章编号： | 1672-1454（2007）04-0066-07 |
| 修稿时间： | 2005-11-01 |
Oscillation Theorems for Second-order-half-linear Differential Equations with Damping |
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| CHEN Mu.Oscillation Theorems for Second-order-half-linear Differential Equations with Damping[J].College Mathematics,2007,23(4):66-72. |
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| Authors: | CHEN Mu |
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| Institution: | Department of Mathematics, Zhanjiang Education College, Zhanjiang, 524037, China |
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| Abstract: | Using integral averaging techniques,we obtain some new theorems for the oscillation of second-order half-linear differential equations with dampinga(t)|x′(t)|α-1x′(t)]+p(t)k(t,x(t),x′(t))x′(t)+q(t)|x(t)|α-1x(t)=0.This results improve and extends J.V.Manojlovic's5] results. |
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| Keywords: | oscillation half-linear differential equations damping integral averaging technique |
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