| 引用本文： |
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蒋贵荣.一类二阶非线性脉冲时滞微分方程振动的充要条件[J].广西科学,2009,16(3):246-252. [点击复制]
- JIANG Gui-rong.Necessary and Sufficient Condition for Oscillation of Second Order Nonlinear Delay Differential Equations with Impulses[J].Guangxi Sciences,2009,16(3):246-252. [点击复制]
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| 一类二阶非线性脉冲时滞微分方程振动的充要条件 |
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蒋贵荣1,2
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| (1.华南理工大学数学学院, 广东广州 510640;2.桂林电子科技大学数学与计算科学学院, 541004) |
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| 摘要: |
| 利用压缩映射原理和微分不等式,得到一类二阶非线性脉冲时滞微分方程振动的1个充要条件. |
| 关键词: 微分方程 脉冲 振动 |
| DOI： |
| 投稿时间：2009-03-06修订日期：2009-05-18 |
| 基金项目:This work was supported by the National Natural Science Foundation of China(No.10572011 and 10871074);the Science Foundation of Guangxi Province,China(No.0832244) |
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| Necessary and Sufficient Condition for Oscillation of Second Order Nonlinear Delay Differential Equations with Impulses |
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JIANG Gui-rong1,2
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| (1.School of Mathematical Sciences, South China University of Technology, Guangzhou, Guangdong, 510640, China;2.School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China) |
| Abstract: |
| A necessary and sufficient condition for the oscillation of solutions of a class of second order nonlinear delay differential equations with impulses is obtained by using the contraction mapping principle and some differential inequalities. |
| Key words: differential equation impulse oscillation |
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