| A NECESSARY AND SUFFICIENT CONDITION FOR ASYMPTOTIC STABILITY OF A FIRST ORDER DELAY EQUATION WITH TWO DELAYS |
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| 引用本文： | 任洪善. A NECESSARY AND SUFFICIENT CONDITION FOR ASYMPTOTIC STABILITY OF A FIRST ORDER DELAY EQUATION WITH TWO DELAYS[J]. Annals of Differential Equations, 2004, 20(1): 59-69 |
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| 作者姓名： | 任洪善 |
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| 作者单位： | Dept. of |
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| 基金项目： | The work is supported by Natural Science Foundation of Heilongjiang Province of China, A0207. |
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| 摘 要： | Consider the following equationwhere 6, c and τ are constants, and τ > 0, bc ≠ 0. In this paper, we establish a necessary and sufficient condition for zero solution of Eq.(*) to be asymptotically stable, which is easy to verify and apply.
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| 关 键 词： | 充分必要条件 渐近可展函数 渐近稳定度 平方根 延迟 |
A NECESSARY AND SUFFICIENT CONDITION FOR ASYMPTOTIC STABILITY OF A FIRSTORDER DELAY EQUATION WITH TWO DELAYS |
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| Ren Hongshan. A NECESSARY AND SUFFICIENT CONDITION FOR ASYMPTOTIC STABILITY OF A FIRSTORDER DELAY EQUATION WITH TWO DELAYS[J]. 微分方程年刊(英文版), 2004, 20(1): 59-69 |
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| Authors: | Ren Hongshan |
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| Affiliation: | Dept.ofMath.,tteilongjiangUniversity,Harbin150080 |
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| Abstract: | |
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| Keywords: | asymptotic stability delay equation necessary and sufficient condition characteristic equation |
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