关于部分变元渐近稳定性定理的推广

The Generalization of Theorem About Partial Asymptotic Stability

利用Lyapunov函数讨论了微分方程dxdt=f(t,x)的零解关于部分变元的渐近稳定性,得到关于部分变元的渐近稳定和全局渐近稳定的新的判别准则.

In this paper,the partial asymptotic stability and global asymptotic stability of ordinary differential equations with Lyapunov function are studied,and some new criteria of the partial asymptotic stability and global asymptotic stability are given.