ON FINITE VARIATION OF FIRST INTEGRALS OF AUTONOMOUS HAMILTONIAN SYSTEMS IN THE PRESENCE OF NON-AUTONOMOUS PERTURBATIONS
We consider Hamiltonian systems which are non-autonomous perturbations of autonomous Hamiltonian systems. Sufficient conditions under which the variations of values of the first integrals of an unperturbed system along the solutions of a non-autonomous system are finite. General statements are illustrated by examples.