Abstract
A class of dynamical systems with unilateral constraints is considered. This class refers to systems that admit the appearance of the impulsive actions during singular phases of their motion, which occurs at the times of the contact with constraint. This singular phase results in the jump behavior of some phase coordinates and the representation of these jumps is the aim of the paper. The jump behavior of these systems is given in terms of differential equations with measures and the corresponding generalized (discontinuous) solution is introduced. It was shown that the jump behavior which arises as a result of interaction with absolutely rigid constraint can be described with aid of special spatial-time transformation of the motion in the vicinity of the singularity point.
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