Application of Lyapunov's Direct Method to the Existence of Integral Manifolds of Impulsive Differential Equations

摘要

The present paper investigates the existence of integral manifolds forimpulsive differential equations with variable perturbations.By means of piecewise continuous functions which are generalizations of theclassical Lyapunov’s functions, sufficient conditions for the existence of integralmanifolds of such equations are found.