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arXiv · 1505.00150

Periodic solutions for nonlinear hyperbolic evolution systems

Piotr Kokocki·Aleksander Ćwiszewski
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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.

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Piotr Kokocki, Aleksander Ćwiszewski. 2015-05-01. Periodic solutions for nonlinear hyperbolic evolution systems. https://arxiv.org/abs/1505.00150

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