Introduction.- Description of the System with Fixed Moments of Impulses and its Solutions.- Stability and Periodic Solutions of Systems with Fixed Moments of Impulses.- Basics of Linear Systems.- Non-Autonomous Systems with Variable Moments of Impulses.- Differentiability Properties of Non-Autonomous Systems.- Periodic Solutions of Nonlinear Systems.- Discontinuous Dynamical Systems.- Perturbations and Hopf Bifurcation of a Discontinuous Limit Cycle.-...