Introduction -- Notation -- 1 Impulsive Differential Equations -- 1.1 General Characterization of Systems of Impulsive Differential Equations -- 1.2 Linear Systems -- 2 Impulsive Differential Inclusions -- 2.1 Differential Inclusions with Fixed Times of Pulse Action -- 2.2 Differential Inclusions with Nonfixed Times of Pulse Action -- 2.3 Examples -- 3 Linear Impulsive Differential Inclusions -- 3.1 Statement of the Problem. Theorem on Existence and Uniqueness -- 3.2 Stability of Solutions of Linear Impulsive Differential Inclusions -- 3.3 Periodic Solutions of Linear Impulsive Differential Inclusions -- 3.4 Linear Differential Equations with Pulse Action at Indefinite Times -- 4 Linear Systems with Multivalued Trajectories -- 4.1 Differential Equations with Hukuhara Derivative -- 4.2 Approximation of the Integral Funnel of a Linear Differential Inclusion with the Help of Systems of Differential Equations with Hukuhara Derivative -- 4.3 Linear Differential Equations with π-Derivative -- 4.4 Extension of the Space conv(Rn) for n = 1 -- 4.5 Approximation of the Integral Funnel of a Linear Differential Inclusion with the Help of Systems of Differential Equations with π-Derivative -- 5 Method of Averaging in Systems with Pulse Action -- 5.1 Oscillating System with One Degree of Freedom -- 5.2 Systems with Fixed Times of the Pulse Action -- 5.3 Systems with Nonfixed Times of the Pulse Action -- 6 Averaging of Differential Inclusions -- 6.1 Averaging of Inclusionswith Pulses at Fixed Times -- 6.2 Krasnosel'skii-Krein Theorem for Differential Inclusions -- 6.3 Averaging of Inclusions with Pulses at Nonfixed Times -- 6.4 Averaging of Impulsive Differential Equations with Hukuhara Derivative -- 7 Differential Equations with Discontinuous Right-Hand Side -- 7.1 Motions and Quasimotions.

7.2 Impulsive Motions and Quasimotions -- 7.3 Euler Quasibroken Lines -- A Some Elements of Set-Valued Analysis -- B Differential Inclusions -- References -- Index.