| 关于Lipschitz稳定性的注记 |
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| 引用本文： | 斯力更. 关于Lipschitz稳定性的注记[J]. 内蒙古师范大学学报(自然科学版), 1994, 0(4) |
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| 作者姓名： | 斯力更 |
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| 作者单位： | 内蒙古师范大学数学系 |
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| 摘 要： | 首先指出文［３］中的主要定义需要改进，为此，重新给出有关Ｌｉｐｓｃｈｉｔｚ稳定性方面的定义，进行了补充、讨论和注解。
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| 关 键 词： | Lipschitz，Liapunnov，稳定性，等度，一致 |
Lipschitz Stability and Liapunov Stability |
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| Si Ligeng. Lipschitz Stability and Liapunov Stability[J]. Journal of Inner Mongolia Normal University(Natural Science Edition), 1994, 0(4) |
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| Authors: | Si Ligeng |
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| Abstract: | In this paper, a new notion of stability is introduced,which will be calleduniform Lipschitz asymptotic stability for differential equations.For linear systems,the no-tion of uniform Lilpsohitz asymptotic stability and the notion of uniform asymptotic stabili-ty are equivalent.However for nonlinear systems,the notion of uniform Lipschitzasymptotic stability implies uniform asymptotic stability. |
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| Keywords: | Lipschitz Liapunov Stability Equi- Uniform |
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