Stability in terms of two measures for impulsive differential equations with 'supremum'

摘要

Sufficient conditions for stability in terms of two measures for nonlinear impulsive differ-ential equations with "supremum" are obtained. Perturbing piecewise continuous Lyapunov functionshave been applied. Razumikhin method and comparison scalar impulsive ordinary differential equa-tions have been employed. The obtained sufficient conditions significantly depend on the impulses.