摘要
在研究微分方程解的性质时 ,参数变易法是公认的有效工具 ,并由此产生了线性化方法 .Lyapunov第二方法则对微分方程的稳定性理论的建立和发展起到了重要的作用 .本文利用将两者相结合而建立的变异 Lyapunov方法 。
In the study of qualitative properties of differential equations, the method of variation of parameters is considered as an effective technique. On the other hand, Lyapunov second method plays an important role in the establishment and development of stability theory of differential equations. By using the combination of the two techniques, the so called variational Lyapunov method, this paper established several stability criteria for nonlinear differential systems in terms of two measures.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2001年第9期1415-1419,1424,共6页
Journal of Shanghai Jiaotong University
基金
国家自然科学基金资助项目 ( 198310 30 )
