| 二阶泛函微分方程的振动性质 |
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| 引用本文： | 刘斌.二阶泛函微分方程的振动性质[J].数学学报,1995,38(2):145-153. |
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| 作者姓名： | 刘斌 |
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| 作者单位： | 湖北师范学院数学系 |
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| 摘 要： | 在本文中，我们研究了一类较广泛的二阶非线性泛函微分方程的振动性质。文中指出，在一定条件下，方程的非振动解仅有两类，而且给出了每一类非振动解存在的必要条件，同时也建立了方程振动的若干充分判据。
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| 关 键 词： | 泛函微分方程，振动，非线性 |
| 收稿时间： | 1992-4-6 |
Oscillatory Behavior for Second Order Functional Differential Equation |
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| LiuBin.Oscillatory Behavior for Second Order Functional Differential Equation[J].Acta Mathematica Sinica,1995,38(2):145-153. |
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| Authors: | LiuBin |
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| Institution: | LiuBin(Hubei Normal University,Huangshi 425002,China) |
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| Abstract: | In this paper,we study the oscillatory behavior for second order nonlinear functionaldifferential equation. On some conditions,we obtain the nonoscillatory solutions only have twokind, and necessary conditions for existence of each kind nonoscillatory solutions.At the sametime, we establish some sufficient conditions for oscillatory solutions. |
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| Keywords: | functional differential equation oscillation nonlinear |
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