We justify an applicability of the adiabatic perturbation theory for three
well known systems with impacts: a ball between two slowly moving walls, a
slowly irregular waveguide, and an adiabatic piston.
@article{0503705,
author = {Gorelyshev, I. V. and Neishtadt, A. I.},
title = {On the adiabatic perturbation theory for systems with impacts},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0503705}
}
Gorelyshev, I. V.; Neishtadt, A. I. On the adiabatic perturbation theory for systems with impacts. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0503705/