二阶非线性微分方程的稳定性

STABILITY FROFERTIES OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS

讨论了二阶非线性微分方程ｒ（ｔ）ｘｎ＋ｐ（ｔ）ｆ（ｘ，ｘ＇）＋ｇ（ｔ，ｘ，ｘ＇）＋（１＋ｋ（ｔ））ｈ（ｔ，ｘ）ｑ（ｘ＇）＝ｅ（ｔ，ｘ，ｘ＇）的稳定性问题，给出了它的解一致有界性和一致渐近稳定性的新判据，推广了有关文献中的若干结果．

In this paper, we study the stability of solutions of the second order differential equationand give some new criteria of uniform boundedness and uniformly asymptotic stability.