摘要
本文对高维分离变量型非线性系统的零解关于部分变元的稳定性进行了讨论,利用V函数方法给出了较一般的结论,并对一类特殊的分离变量型系统,给出了其零解关于部分变元稳定的充分条件。
In this paper, the writers discuss the partial stability of solutions to the high dimension system. A general V function is used to prove the theorems on the y-global asymptotic stability and y-stability of solutions to the general non-linear autonomous system of differential equations of high dimension. Using this method, the writers give the sufficient conditions for the partial stability of Solutions to the high dimension system with separating avariables.
关键词
稳定性
分离变量系统
非线性系统
partial stability
V fanction
system with separating variables
