| 二阶Emden-Fowler型变时滞中立型微分方程的振荡性 |
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| 引用本文： | 张晓建.二阶Emden-Fowler型变时滞中立型微分方程的振荡性[J].浙江大学学报(理学版),2018,45(3):308-313. |
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| 作者姓名： | 张晓建 |
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| 作者单位： | 邵阳学院 理学与信息科学系, 湖南 邵阳 422004 |
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| 基金项目： | 湖南省教育厅科研项目（10Cl189）；湖南省教育厅教学改革研究项目（2016jg671）. |
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| 摘 要： | 利用广义双黎卡提变换技术及一些分析技巧，研究了一类二阶Emden-Fowler型非线性中立型变时滞泛函微分方程的振荡性，获得了该类方程振荡的2个新的判别准则，推广并改进了现有文献中的一些结果.
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| 关 键 词： | 振荡性 变时滞 Emden-Fowler型微分方程 Riccati变换 |
| 收稿时间： | 2017-04-05 |
Oscillation of second-order Emden-Fowler-type variable delay neutral differential equations |
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| ZHANG Xiaojian.Oscillation of second-order Emden-Fowler-type variable delay neutral differential equations[J].Journal of Zhejiang University(Sciences Edition),2018,45(3):308-313. |
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| Authors: | ZHANG Xiaojian |
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| Institution: | Department of Science and Information, Shaoyang University, Shaoyang 422004, Hunan Province, China |
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| Abstract: | The oscillatory behavior of a class of second-order Emden-Fowler-type nonlinear neutral variable delay functional differential equations is studied in this article. Using a couple generalized Riccati transformation and some necessary analytic techniques, we establish two new oscillation criteria for the equations, which improve and generalize some corresponding known results. |
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| Keywords: | oscillation variable delay Emden-Fowler-type differential equation Riccati transformation |
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