Hamilton systems under small nonautonomous perturbations / I. Yu. Polekhin. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. ? 1. P. 47-53. [Moscow Univ. Math. Bulletin. Vol. 67, N 1, 2012.].

Hamiltonian systems under weak nonautonomous and nonperiodic perturbations are considered. Sufficient conditions under which the first integrals of the unperturbed system vary slightly along the solution of the perturbed system are formulated. Some mechanical systems are considered as examples.

Key words: perturbed Hamiltonian system, constantly acting perturbations, nonautonomous Hamiltonian system.