The book provides a self-contained introduction to the mathematical theory of non-smooth dynamical problems, as they frequently arise from mechanical systems with friction and/or impacts. It is aimed at applied mathematicians, engineers, and applied scientists in general who wish to learn the subject. Some general theory of differential inclusions.- Bounded, unbounded, periodic, and almost periodic solutions.- Lyapunov exponents for non-smooth dynamical systems.- On the application of Conley index theory to non-smooth dynamical systems.- On the application of KAM theory to non-smooth dynamical systems.- Planar non-smooth dynamical systems.- Melnikov's method for non-smooth dynamical systems.- Further topics and notes.
