| 平面系统零解的单侧稳定性及渐近稳定性 |
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| 引用本文： | 曾广钊.平面系统零解的单侧稳定性及渐近稳定性[J].韶关学院学报,2003,24(3):18-19. |
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| 作者姓名： | 曾广钊 |
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| 作者单位： | 韶关学院,数学系,广东,韶关,512005 |
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| 摘 要： | 针对量Liapunov稳定性定理中要求在平衡原点某部域内满足一定的条件，考虑到平面系统的平衡点可以只在通过它的一对解的一侧讨论，经过一些条件的修改，得出了平衡点的单侧稳定性和渐近稳定性的判定定理，并给出证明过程．
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| 关 键 词： | V函数 单侧稳定性 单侧渐近稳定性 |
| 文章编号： | 1007-5348(2003)03-0018-02 |
| 修稿时间： | 2002年9月1日 |
One-side Stability and One-side Asymptotically Stability of Zero Solution of Two Dimensions System |
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| ZENG Guang,zhao.One-side Stability and One-side Asymptotically Stability of Zero Solution of Two Dimensions System[J].Journal of Shaoguan University(Social Science Edition),2003,24(3):18-19. |
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| Authors: | ZENG Guang zhao |
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| Abstract: | Liapunov stability theorem require that the conditions given must be satisfied in a neighborhood of the origin.Considering that in some cases we can focus the discussion on one side of a pair of solution,the one side stability and one side asymptotical stability criterion theorem is obtained by modifying the conditions of Liapunov theorem. |
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| Keywords: | V function one side stability one side asymptotically stability |
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