Integral φ 0 -Stability in terms of Two Measures for Impulsive Differential Equations with “Supremum”

Abstract

This paper establishes a criterion on integral ${\phi }_0$-stability in terms of two measures for impulsive differential equations with “supremum” by using the cone-valued piecewise continuous Lyapunov functions, Razumikhin method, and comparative method. Meantime, an example is given to illustrate our result.