二阶非线性微分方程零解的全局渐近稳定性

对于二阶非线性微分方程零解的全局渐近稳定性的研究，含一，二个非线性项的研究成果较多，非线性项在两个以上的研究成果较少，本文研究具有四个非线性项的问题，而具去掉了一般要求Liapunov函数具有无穷大这个较强的条件，只要求系统正半轨线有界。

Asymptotic Stability in the Large of Zero Solution of Second Order Nonlinear Differential Equation

There are many works on the asymptotic stability of second dimensional nonlinear differential equation. In particular, these results only concern with the system which includes one or two terms, whereas few works concern with system which includes more than two terms. In this paper, system which includes four nonlinear terms are studies. We obtain the global asymptotic stability of zero solution, and discard the condition which require the Liapunov function trends to infinity, and only require that the positive orbit is bounded.