Integral Φ0-Stability of Impulsive Differential Equations

In this paper, the notions of integral 0φ-stability of ordinary impulsive differential equations are introduced. The definition of integral 0φ-stability depends significantly on the fixed time impulses. Sufficient conditions for integral 0φ-stability are obtained by using comparison principle and piecewise continuous cone valued Lyapunov functions. A new comparison lemma, connecting the solutions of given impulsive differential system to the solution of a vector valued impulsive diffe-rential system is also established