| 二阶线性微分方程解的非振动性与振动性 |
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| 引用本文： | 张弘强.二阶线性微分方程解的非振动性与振动性[J].长沙交通学院学报,1999,15(2):1-4. |
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| 作者姓名： | 张弘强 |
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| 作者单位： | 长沙交通学院,基础科学部,湖南,长沙,410076 |
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| 摘 要： | 研究二阶线性微分方程解的非振动性与振动性采用不动点定理，建立使方程的一切非零解非振动及振动的充分条件，这些条件是ｓｈａｒｐ的，并具有统一的形式。
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| 关 键 词： | 微分方程 振动性 正解 存在性 |
| 修稿时间： | 1998-12-28 |
The Oscillation and Nonoscillation of Solutions of Second Order Linear Differential Equation |
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| ZHANG Hong-qiang.The Oscillation and Nonoscillation of Solutions of Second Order Linear Differential Equation[J].Journal of Changsha Communications University,1999,15(2):1-4. |
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| Authors: | ZHANG Hong-qiang |
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| Abstract: | In this paper the author
studied the oscillation and nonoscillation of solutions of the second order linear
differential equations. By using Schauder fixed point theorem, sufficient conditions for
all nontrivial solutions of the equation to nonoscillate and oscillate are established.
Our conditions are sharp and have the unitary form. |
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