摘要
本文利用解对初值和参数的可微性,提出一种不同于Liapunov直接法的方法,在不具体求出初值问题的解的情况下,判定该解的稳定性,并以Duffing方程,Vander pol方程和Mathieu方程为例,作了分析.
In this paper, using the differentiability of the solution on initial values and parameters, we present a method which can be used to determine the stability of the solution of the initial value problem when the solution is unknown. For example, we consider the equations: Duffing, Van der pol and Mathieu.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1991年第4期565-573,共9页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
