The solvability of the equations of motion of mechanical systems with sliding friction

The problem of the existence of local classical solutions of the equations of motion of holonomic systems with sliding friction is investigated. 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 dynamics of mechanical systems with sliding friction.