| 非线性脉冲时滞泛函微分系统的渐近性 |
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| 引用本文： | 薛亚奎,白爱民. 非线性脉冲时滞泛函微分系统的渐近性[J]. 中北大学学报(自然科学版), 2004, 25(1): 15-17 |
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| 作者姓名： | 薛亚奎 白爱民 |
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| 作者单位： | 华北工学院,应用数学系,山西,太原,030051;五寨师范学校,山西,五寨,036200 |
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| 基金项目： | 山西省青年科学基金资助项目 |
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| 摘 要： | 利用比较原理与序列极限的方法讨论了线性时滞泛函微分系统在非线性脉冲下的扰动,研究了非线性脉冲时滞泛函微分系统解的渐近性.得到了线性时滞泛函微分系统在非线性脉冲扰动下系统的所有解都渐近吸引的充分性条件.
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| 关 键 词： | 脉冲微分系统 脉冲扰动 比较原理 渐近性 |
| 文章编号： | 1006-5431(2004)01-0015-03 |
| 修稿时间： | 2003-03-19 |
Asymptotic Behavior of Nonlinear Delay Functional-Differential System under Impulsive Perturbations |
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| XUE Ya-kui,BAI Ai-min. Asymptotic Behavior of Nonlinear Delay Functional-Differential System under Impulsive Perturbations[J]. Journal of North University of China, 2004, 25(1): 15-17 |
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| Authors: | XUE Ya-kui BAI Ai-min |
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| Affiliation: | XUE Ya-kui~1,BAI Ai-min~2 |
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| Abstract: | Using the comparison principle and serial limit process, the perturbation of linear delay functional differential systems under nonlinear impulsive is discussed and the asymptotic behavior of solution for nonlinear delay functional-differential system under impulsive perturbations is studied. Sufficient conditions for asymptotic property of all solutions to linear delay functional-differential systems under linear impulsive perturbations are obtained. |
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| Keywords: | impulsive differential systems impulsive perturbation comparison principle asymptotic behavior |
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