物理学中运动稳定性与二维定常系统零解全局渐近稳定性

Asymptotic stability of null solution for several two order autonomous systems and applications in physics

应用变量分离方法构造李雅普诺夫函数，得到了几类二维定常系统零解全局渐近稳定的充分性条件，同时给出了其在物理学中的几点应用．

Using the variable separate method to form Lyapunov function, sufficient conditions are obtained of asymptotic stability of the null solution for several two order autonomous systems.At same time, the applications in physics are provided.