119899, Moscow, Vorobyevy gory
M.V.Lomonosov Moscow State University
Kozlova T. V.
On polinomial integrals of systems with elastic impacts
1999, vol. 4, no. 1, pp. 83-90
In the paper integrability of a perturbed billiard in a potential field is considered. Both conditional and nonconditional integrals are discussed. The cases when additional integrals of the first, second and third degrees in momenta exist have been found.