摘要
本文把文[1]、[2]的变换技巧推广到变系数线性系统(i=1,…,n),用函数方法,研究了n=2、3时零解的稳定性,得到了零解稳定的若干判据.有关系数a_(ij)(t)不必都限制为有界.
This paper generalizes the technique of the transformation in the references [1], [2] to the time-variable linear system of ordinary differential equations (i=1,…,n). The stability of trivial solutions for the cases: n=2 and 3 is considered by using the method of Liapunov function, and some criteria of the stability of the trivial solution are obtained, in which the coefficients α_(ij)(t) may not be bounded.
出处
《应用数学》
CSCD
北大核心
1991年第3期8-18,共11页
Mathematica Applicata
关键词
时变线性系统
稳定性
李氏函数
Stability
Asymptotically stable
Liapunov function
