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.
出处
《东北师大学报（自然科学版）》
CAS
CSCD
北大核心
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)
