Periodic solutions for nonlinear hyperbolic evolution systems
Dynamical Systems
2015-05-04 v1
Abstract
We shall deal with the periodic problem for nonlinear perturbations of abstract hyperbolic evolution equations generating an evolution system of contractions. We prove an averaging principle for the translation along trajectories operator associated to the nonlinear evolution system, expressed in terms of the topological degree. The abstract results shall be applied to the damped hyperbolic partial differential equation.
Cite
@article{arxiv.1505.00150,
title = {Periodic solutions for nonlinear hyperbolic evolution systems},
author = {Piotr Kokocki and Aleksander Ćwiszewski},
journal= {arXiv preprint arXiv:1505.00150},
year = {2015}
}
Comments
30 pages