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Forced oscillations of a massive point on a compact surface with a boundary. (English) Zbl 1372.70023
Summary: We present sufficient conditions for the existence of a periodic solution for a class of systems describing the periodically forced motion of a massive point on a compact surface with a boundary.

MSC:
70E18 Motion of a rigid body in contact with a solid surface
34C40 Ordinary differential equations and systems on manifolds
70F40 Problems involving a system of particles with friction
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