Vm. Matrosov et Ia. Finogenko, THE SOLVABILITY OF THE EQUATIONS OF MOTION OF MECHANICAL SYSTEMS WITHSLIDING FRICTION, Journal of applied mathematics and mechanics, 58(6), 1994, pp. 945-954
The problem of the existence of local classical solutions of the equat
ions of motion of holonomic systems with sliding friction is investiga
ted. The conditions for the equations of motion to be solvable for the
accelerations enable estimates to be obtained of the coefficients of
friction, within the framework of which (from the point of view of the
existence of solutions) Coulomb's laws can be used to describe the dy
namics of mechanical systems with sliding friction.