| 脉冲时滞向量双曲型方程解的振动性 |
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| 引用本文： | 别群益,鲁元海.脉冲时滞向量双曲型方程解的振动性[J].三峡大学学报(自然科学版),2008,30(5). |
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| 作者姓名： | 别群益 鲁元海 |
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| 作者单位： | 1. 三峡大学理学院,湖北宜昌,443002
2. 中山市东区中学,广东中山,528403 |
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| 基金项目： | 湖北省教育厅自然科学基金项目 |
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| 摘 要： | 研究一类具脉冲时滞的双曲型向量泛函微分方程解的振动性.方法是采用由Domslak引进的H-振动性的概念,将向量微分方程解的振动问题转化为标量微分不等式正解和负解的不存在性问题,得到了若干解的H-振动性的判别准则.
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| 关 键 词： | 振动性 向量微分方程 双曲型 脉冲 |
Oscillation Properties of Solutions for Certain Impulsive Vector Hyperbolic Differential Equations with Time Delays |
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| Bie Qunyi,Lu Yuanhai.Oscillation Properties of Solutions for Certain Impulsive Vector Hyperbolic Differential Equations with Time Delays[J].Journal of China Three Gorges University(Natural Sciences),2008,30(5). |
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| Authors: | Bie Qunyi Lu Yuanhai |
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| Institution: | Bie Qunyi1 Lu Yuanhai2 (1.College of Science,China Three Gorges Univ.,Yichang 443002,China,2.Dongqu Middle School of Zhongshan,Zhongshan 528403,China) |
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| Abstract: | The oscillatin properties of solutions for impulsive vector hyperbolic differential equations with time delays are studied.The approach is to reduce the oscillation problems to the nonexistence of positive and negative solutions of scalar differential inequalities by employing the concept of H-oscillation introduced by Domslak.Several oscillation criteria are obtained. |
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| Keywords: | oscillation vector differential equations Hyperbolic type impulse |
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