| 无穷时滞中立型微分积分方程的稳定性 |
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| 引用本文： | 牛健人,徐道义.无穷时滞中立型微分积分方程的稳定性[J].四川大学学报(自然科学版),2005,42(5):881-884. |
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| 作者姓名： | 牛健人 徐道义 |
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| 作者单位： | 西南财经大学中国金融研究中心,成都,610074;四川大学数学学院,成都,610064;四川大学数学学院,成都,610064 |
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| 基金项目： | 国家自然科学基金（10371083） |
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| 摘 要： | 讨论了具有无限时滞的中立型微分积分方程的稳定性，获得了判定该类方程零解稳定，渐近稳定，一致渐近稳定的实用判据．
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| 关 键 词： | 微分积分方程 中立型 稳定性 |
| 文章编号： | 0490-6756（2005）05-0881-04 |
| 收稿时间： | 2004-03-25 |
| 修稿时间： | 2004-03-252004-04-30 |
Stability of Neutral Integro-differential Equations with Infinite Delays |
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| NIU Jian-ren,XU Dao-yi.Stability of Neutral Integro-differential Equations with Infinite Delays[J].Journal of Sichuan University (Natural Science Edition),2005,42(5):881-884. |
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| Authors: | NIU Jian-ren XU Dao-yi |
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| Abstract: | The authors deal with the stability of neutral integro-differential equations with infinite delays. Some criteria are given for asymptotic stability, uniformly asymptotic stability and exponential asymptotic stability. The results obtained here are illustrated by examples which have been particularly difficult to treat by means of the standard Lyapunov theory. |
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| Keywords: | stability neutral delay integral differenfial equation |
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