On the globally asymptotic stability of solutions of ordinary differential equations (Q1100332)

Consider equation (1) \(\dot x=X(t,x)\) (X(t,0)\(\equiv 0)\), where \(X: R^+\times R^ n\to R^ n\) is a continuous function. The authors give sufficient conditions respectively for the globally asymptotic stability, globally equi-asymptotic stability, and globally asymptotic stability of the zero slution of (1).