| 一类脉冲时滞微分方程的全局吸引性 |
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| 引用本文： | 李迈龙. 一类脉冲时滞微分方程的全局吸引性[J]. 湖南理工学院学报：自然科学版, 2003, 16(3): 7-10,16 |
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| 作者姓名： | 李迈龙 |
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| 作者单位： | 湖南理工学院数学系 湖南 |
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| 摘 要： | 考虑脉冲时滞微分方程 x’(t)=p(t)(1-e~(x(t-τ)),t≥0,t≠t_k,(1) x(t_k~+)-x(t_k)=b_kx(t_k),k∈N 的全局吸引性,获得了保证方程每一解趋于0的充分条件。其中τ>0,b_k>-1,P(t)是非负、分段连 续函数。
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| 关 键 词： | 脉冲时滞微分方程 全局吸引性 正解 振动解 常微分方程 |
| 文章编号： | 1008-620X(2003)03-0007-04 |
Global Attractivity of a class of Delay Differential Equation under Impulsive Peturbations |
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| LI Mai-long. Global Attractivity of a class of Delay Differential Equation under Impulsive Peturbations[J]. Journal of Hunan Institute of Science and Technology, 2003, 16(3): 7-10,16 |
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| Authors: | LI Mai-long |
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| Abstract: | Consider impulsive delay differential equation Where , P(t) is nonnegative and is piecewise continuous. We obtain some sufficient conditions that guaratee every solution of equation to tend to zero. |
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| Keywords: | impulsive perturbations delay differential equation global attractivity sufficient condition |
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