| 脉冲时滞微分方程组振动性及渐近性 |
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| 引用本文： | 万安华,毛卫华,王绵森. 脉冲时滞微分方程组振动性及渐近性[J]. 兰州理工大学学报, 2004, 30(3): 119-123 |
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| 作者姓名： | 万安华 毛卫华 王绵森 |
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| 作者单位： | 西安交通大学,理学院,陕西,西安,710049;华南农业大学,理学院,广东,广州,510642 |
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| 基金项目： | 国家自然科学基金(10101019) |
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| 摘 要： | 研究了一阶三维线性脉冲时滞微分方程组的振动性与渐近性,引入了弱振动的概念,给出引理解决了非振动解各分量间的符号关系,由此得到了若干振动性与渐近性的判别准则,并举例说明了准则的有效性.
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| 关 键 词： | 微分方程 脉冲 时滞 振动性 渐近性 振动解 非振动解 |
| 文章编号： | 1000-5889(2004)03-0119-05 |
| 修稿时间： | 2003-09-15 |
Oscillatory and asymptotic behavior of solutions to impulsive delay differential equations |
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| WAN An-hua,MAO Wei-hua,WANG Mian-sen. Oscillatory and asymptotic behavior of solutions to impulsive delay differential equations[J]. Journal of Lanzhou University of Technology, 2004, 30(3): 119-123 |
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| Authors: | WAN An-hua MAO Wei-hua WANG Mian-sen |
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| Affiliation: | WAN An-hua~1,MAO Wei-hua~2,WANG Mian-sen~1 |
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| Abstract: | The oscillatory and asymptotic behavior of first-order three-dimensional linear impulsive equations is studied. A constructive work is done and a concept of weak oscillation is introduced. Lemmas are presented to deal with the sign relation among the components of the nonoscillatory solutions; and then several criteria of oscillatory and asymptotic behavior are obtained. The effectiveness of the criteria is demonstrated with two examples. |
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| Keywords: | differential equation impulse time delay oscillation asymptotic behavior oscillatory solution nonoscillatory solution |
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