Impulsive Differential Equations

Course content

General description of impulsive differential equations: systems with fixed moments of impulses; systems with variable moments of impulses; discontinuous dynamical systems. Linear systems: general properties of solutions; periodic solutions; Floquet theory; adjoint systems. Stability: criteria based on linearization of systems; direct Lyapunov method. B-equivalence; stability of systems with variable time of impulses. Quasilinear systems: bounded solutions; periodic solutions; quasiperiodic and almost periodic solutions.