| 一类中立型变时滞微分方程的零解全局吸引的充分条件 |
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| 引用本文： | 李振东,金殿川. 一类中立型变时滞微分方程的零解全局吸引的充分条件[J]. 唐山师范学院学报, 2003, 25(2): 58-60,68 |
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| 作者姓名： | 李振东 金殿川 |
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| 作者单位： | 1. 唐山学院,基础部,河北,唐山,063000
2. 河北理工学院,数理系,河北,唐山,063009 |
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| 摘 要： | 利用构造Liapunov泛函的方法，给出了中立型变时滞微分方程d/dt[x(t) ax(t-τ（t))]=bx(t) cx(t-τ1(t))和d/dt[x(t) ax(t-τ（t））]=bx(t-τ（t)) cx(t-τ2(t))零解全局吸引的一个充分条件。
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| 关 键 词： | 中立型变时滞微分方程 零解 充分条件 全局吸引 大范围吸引 Liapunov泛函 渐进性 |
| 文章编号： | 1009-9115(2003)02-0058-04 |
A Sufficient Condition to the Global Abstraction of the Zero Solution of A certain Neutral Differential Equation With Variable Delays |
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| LI Zhen-dong,JIN Dian-chuan. A Sufficient Condition to the Global Abstraction of the Zero Solution of A certain Neutral Differential Equation With Variable Delays[J]. Journal of Tangshan Teachers College, 2003, 25(2): 58-60,68 |
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| Authors: | LI Zhen-dong JIN Dian-chuan |
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| Abstract: | By use of Liapunov function method on the following Neutral Differential Equations with variable delaysd/dt[x(t) + ax(t-t(t))] = bx(t) + cx(t-t1(t)) and -d/dt[x(t) + ax(t-t(t))] = bx(t -t(t)) + cx(t- t2(t)) this paper gives a sufficient condition under which their zero solution are global abstraction. |
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| Keywords: | neutral differential equation global abstraction variable delays liapunov function |
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