| 二阶非线性偏差变元微分方程的非振动性 |
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| 引用本文： | 缪益华.二阶非线性偏差变元微分方程的非振动性[J].西南交通大学学报,1992,5(3):90-96. |
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| 作者姓名： | 缪益华 |
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| 作者单位： | 西南交通大学应用数学系 |
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| 摘 要： | 本文考虑一类二阶非线性偏差变元微分方程。在去掉传统对偏差函数的滞后(或超前)的条件
下，讨论方程非振动的判别条件和各类非振动解的关系，所得结论分别推广和改进了已有的相
应结果，而且可以应用到二阶奇异型偏差变元方程的振动性间题。
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| 关 键 词： | 偏差变元微分方程 正(负)解 判别条件 非振动 振动 |
Nonoscillatory Behavior of Second Order Nonlinear Differential Equation with Deviating Argument |
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| Miao Yihua Dept.of Applied Mathematics.Nonoscillatory Behavior of Second Order Nonlinear Differential Equation with Deviating Argument[J].Journal of Southwest Jiaotong University,1992,5(3):90-96. |
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| Authors: | Miao Yihua Deptof Applied Mathematics |
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| Institution: | Miao Yihua Dept.of Applied Mathematics |
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| Abstract: | A class of second order nonlinear differential equation with deviating argument is discussed. Leaving out the traditional re- quest of delay or advanced for the deviating argument, criterion conditions for nonoscillation are given. All theorems and corollaries in the paper can generalize or imp- rove the relevant results appeared in recent literatures. |
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| Keywords: | differential equation with deviating argument positive (negative)solution criterion condition nonoscillation oscillation |
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