Sufficient conditions for the global existence in the future and the partial boundedness of the motions of a wide class of holonomic scleronomic systems are given, using the comparison method introduced by Conti , and taking as Liapunov function the total energy of the system, in the case a)when the potential energy is bounded from belov and b)when it is not.
Global existence in the future and partial boundedness of motions of a wide class of scleronomic holonomic systems / Belloni, Marino; Risito, C.. - In: RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI. - ISSN 1120-7183. - 16:4(1996), pp. 587-598.