| 一类二阶线性脉冲微分方程解的渐近性态 |
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| 引用本文： | 田艳玲,翁佩萱. 一类二阶线性脉冲微分方程解的渐近性态[J]. 系统科学与数学, 2006, 26(1): 069-082 |
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| 作者姓名： | 田艳玲 翁佩萱 |
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| 作者单位： | 华南师范大学数学系,广州,510631 |
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| 基金项目： | 广东省自然科学基金(011471)，广东省高教厅基金(0120)资助课题． |
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| 摘 要： | 研究一类二阶线性脉冲微分方程解的结构和解的渐近性态,其中δ(t)是δ-函数,且对n∈N有an>0,r(t)>0是[t0, ∞) 上的连续函数,0≤t0
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| 关 键 词： | 线性脉冲微分方程 解 渐近性态 |
| 收稿时间： | 2003-08-08 |
| 修稿时间： | 2003-08-08 |
Asymptotical Behavior for a Second Order Linear Ordinary DifferentialEquation with Impulses |
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| Tian Yanling,Weng Peixuan. Asymptotical Behavior for a Second Order Linear Ordinary DifferentialEquation with Impulses[J]. Journal of Systems Science and Mathematical Sciences, 2006, 26(1): 069-082 |
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| Authors: | Tian Yanling Weng Peixuan |
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| Affiliation: | Department of Mathematics, South China Normal University, Guangzhou 510631 |
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| Abstract: | The structure and asymptotical behavior of solutions for a secondorder linear ordinary differential equation with impulses$$left(r(t)u^{prime}right)^{prime}=sumlimits_{n=1}^{infty}a_ndeltaleft(t-t_nright)u(t)$$are investigated, where $delta (t)$ is the Dirac $delta$-function, and $0leqt_00$ for $n in mbox{boldmath{$N$}}$, and $r(t)>0$ is a continuous function on$[t_0,+infty)$ |
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| Keywords: | Linear ordinary differential equation with impulses solutions asymptotical behaviors. |
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