Yoshizawa稳定性和有界性定理的注记  

A annotation of theorems on Yoshizawa's stability and boundedness

作　　者：李秀玲[1,2] 

机构地区：[1]长春税务学院应用数学系,吉林长春130117 [2]东北师范大学应用经济学博士后流动站,吉林长春130024

出　　处：《东北师大学报（自然科学版）》2008年第4期21-23,共3页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10671031);吉林省教育厅自然科学专项基金资助项目(2006129);长春税务学院博士基金资助项目(2006011)

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.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.

关 键 词：Liapunov第二方法 稳定性 有界性 

分 类 号：O175.7[理学—数学]