一类二阶常微分方程解的渐近性态

Asymptotic behavior of the solution of a class of second order ordinary differential equations

给出了方程x..+A(t)x.+B(t) =0所有解有界的一个充分条件与零解全局渐近稳定的一个充分条件 ,并进一步给出了方程x..+A(t)x.+B(t)x =e(t)存在唯一稳定周期解的一个充分条件。

This paper gives the sufficient condition for boundedness of all solutions and the sufficient condition for the global asymptotic stability of the zero solution to the equation x..+A(t)x.+B(t)x=0,Furthe gives the sufficient condition for the existence of only stable periodic solution to the equation x..+A(t)x.+B(t)x=e(t).