| 二阶非线性扰动微分方程的振动性准则 |
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| 引用本文： | 白玉真,李傅山.二阶非线性扰动微分方程的振动性准则[J].数学杂志,2000,20(4):365-370. |
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| 作者姓名： | 白玉真 李傅山 |
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| 作者单位： | 1. 华东师范大学数学系,上海,200062
2. 曲阜师范大学数学系,山东曲阜,273165 |
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| 基金项目： | Supported by the national natural science foundation of shandong province. |
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| 摘 要： | 本文主要研究了二阶非线性扰动微方程的振动性，所得的振动性准则包含和推广了一些现有的结果。
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| 关 键 词： | 振动性 正规解 非线性扰动微分方程 |
OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR PERTURBED DIFFERENTIAL EQUATIONS |
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| BAI Yu-zhen,LI Fu-shan.OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR PERTURBED DIFFERENTIAL EQUATIONS[J].Journal of Mathematics,2000,20(4):365-370. |
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| Authors: | BAI Yu-zhen LI Fu-shan |
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| Abstract: | Some criteria are obtained which guarantee that all solutions of the second order nonlinear perturbed differential equation(r(t)x'(t))'+p(t)x'(t)+Q(t,x(t))=P(t,x(t),x'(t), t≥t0.(1)are oscillatory. These criteria extend and unify a number of existing results. |
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| Keywords: | Oscillation Regular Solution Nonlinear Perturbed Differential Equation |
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