| 非线性脉冲时滞微分方程的线性化振动 |
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| 引用本文： | 段永瑞,张卫平,田澎. 非线性脉冲时滞微分方程的线性化振动[J]. 上海交通大学学报, 2005, 39(2): 337-340 |
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| 作者姓名： | 段永瑞 张卫平 田澎 |
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| 作者单位： | 上海交通大学,安泰管理学院,上海,200052;上海交通大学,微纳米科学技术研究院,上海,200030 |
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| 基金项目： | 国家自然科学基金资助项目(10171065) |
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| 摘 要： | 研究了一类非线性脉冲时滞微分方程的振动性．证明了在一定条件下，可以由线性脉冲时滞微分方程的振动性判定非线性脉冲时滞微分方程的振动性．得到了非线性脉冲时滞微分方程与相应的线性脉冲时滞微分方程振动性等价的条件，并给出了它的应用。
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| 关 键 词： | 脉冲微分方程 振动 非振动 |
| 文章编号： | 1006-2467(2005)02-0337-04 |
| 修稿时间： | 2003-08-20 |
Linearized Oscillation of Nonlinear Delay Differential Equations with Impulses |
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| DUAN Yong-rui,ZHANG Wei-ping,TIAN Peng. Linearized Oscillation of Nonlinear Delay Differential Equations with Impulses[J]. Journal of Shanghai Jiaotong University, 2005, 39(2): 337-340 |
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| Authors: | DUAN Yong-rui ZHANG Wei-ping TIAN Peng |
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| Affiliation: | DUAN Yong-rui~1,ZHANG Wei-ping~2,TIAN Peng~3 |
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| Abstract: | The oscillations of nonlinear impulsive delay differential equations can be reduced to the corresponding linear impulsive delay differential equations under some condition. In addition, the conditions for the equivalence of oscillations of nonlinear impulsive delay differential equations and the corresponding linear impulsive delay differential equations were given. The example indicates the results' significance. |
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| Keywords: | impulsive differential equation oscillation nonoscillation |
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