Stability Analysis for Nonlinear Differential Systems in Terms of Two Measures

In the study of qualitative properties of differential equations, the method of variation of parameters is considered as an effective technique. On the other hand, Lyapunov second method plays an important role in the establishment and development of stability theory of differential equations. By using the combination of the two techniques, the so called variational Lyapunov method, this paper established several stability criteria for nonlinear differential systems in terms of two measures.