In this paper,the global asymptotic stability of the zero solution for system(E): =y =-f(x,y)y-g(x) is studied by using qualitative method,and two conclusions are obtained.

• =yy.；=-f(x；y)y-g(x)(E)零解的全局渐近稳定性；得到了系统(E)的零解全局渐近稳定的两个结论。