RIGHT-HAND SOLUTIONS OF THE DIFFERENTIAL-EQUATIONS OF DYNAMICS FOR MECHANICAL SYSTEMS WITH SLIDING FRICTION

As a further development of Painleve's theory [1], the existence, cont inuability and uniqueness of right-hand solutions of the differential equations of dynamics, and, under certain additional conditions, of th e equations of motion of holonomic mechanical systems with sliding fri ction [2] are considered. In classical mechanics, acceleration is esse ntially defined as the right-hand derivative of velocity (see [3, 4]). Hence the most meaningful definition of the ''solution of a different ial equation'' in problems of the dynamics of mechanical systems with sliding friction is that using the concept of right derivative [5].