Analysis of the Properties of the Solutions of Impulsive Systems of Differential and Integro-Differential Equations: Part I

摘要

This article is devoted to the investigation of nonlinear systems of differential and integro-differential equations with various nonlinearities and impulse influence in fixed moments of time. The conditions of boundedness solutions, attraction, Lyapunov stability (uniform, asymptotical), practical Chetaev stability (uniform, attractive) of non-disturbed solutions of perturbed impulsive systems are obtained.