Differential Equations with Impulse Effects

Multivalued Right-hand Sides with Discontinuities

Mitarbeit: Perestyuk, Nikolai A.; Plotnikov, Viktor A.; Samoilenko, Anatolii M.
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Significant interest in the investigation of systems with discontinuous trajectories is explained by the development of equipment in which significant role is played by impulsive control systems and impulsive computing systems. Impulsive systems are also encountered in numerous problems of natural sciences described by mathematical models with conditions reflecting the impulsive action of external forces with pulses whose duration can be neglected.Differential equations with set-valued right-hand side arise in the investigation of evolution processes in the case of measurement errors, inaccura...