| Yoshizawa稳定性和有界性定理的注记 |
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| 引用本文： | 李秀玲.Yoshizawa稳定性和有界性定理的注记[J].东北师大学报(自然科学版),2008,40(4). |
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| 作者姓名： | 李秀玲 |
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| 作者单位： | 长春税务学院应用数学系,吉林,长春,130117;东北师范大学应用经济学博士后流动站,吉林 长春 130024 |
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| 基金项目： | 国家自然科学基金，吉林省教育厅自然科学专项基金，长春税务学院博士基金 |
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| 摘 要： | 研究了Yoshizawa稳定性和有界性.利用常微分方程定性理论中公认的普遍且强有力的Liapunov第二方法,将某些稳定性和有界性定理的条件减弱,并给出证明,从而改进了全局一致渐近稳定的定义.
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| 关 键 词： | Liapunov第二方法 稳定性 有界性 |
A annotation of theorems on Yoshizawa's stability and boundedness |
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| LI Xiu-ling.A annotation of theorems on Yoshizawa''s stability and boundedness[J].Journal of Northeast Normal University (Natural Science Edition),2008,40(4). |
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| Authors: | LI Xiu-ling |
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| Abstract: | Liapunov's second method has been recognized to be very general and powerful in the qualitative theory of ordinary differential equations.Yoshizawa's stability and boundedness is considered.The conditions of some theorems on stability and boundedness were weakened.These theorems were proved by Liapunov's second method.Further more,a definition of uniform-asymptotically stable in the large is modified. |
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| Keywords: | Liapunov's second method stability boundedness |
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