2015/05/01 by Piotr Kokocki, Kokocki, Piotr, Aleksander Ćwiszewski +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS
paper · pdf · doi:10.48550/arxiv.1505.00150
30 pages
arxiv created 2015/05/01 · arxiv updated 2015/05/04
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.