Stability on a cone in terms of two measures for impulsive differential equations with "supremum"

作者：Hristova Snezhana G^*

来源：Applied Mathematics Letters, 2010, 23(5): 508-511.

DOI：10.1016/j.aml.2009.12.013

• phi(0)-stability in terms of two measures
• Piecewise continuous Lyapunov functions
• Impulsive differential equations with &quot
• supremum&quot

The stability of nonlinear impulsive differential equations with "supremum" is studied. A special type of stability, combining two different measures and a dot product, is defined. The definition is a generalization of several types of stability known in the literature. Razumikhin's method as well as a comparison method for scalar impulsive ordinary differential equations have been employed.

• 出版日期2010-5