Periodic solutions of nonlinear hyperbolic evolution systems

DOI10.1007/S00028-010-0066-YzbMath1239.34039arXiv1505.00150OpenAlexW2121000005WikidataQ96744684 ScholiaQ96744684MaRDI QIDQ423430

Piotr Kokocki, Aleksander Ćwiszewski

Publication date: 2 June 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.00150

zbMATH Keywords

evolution equationsemigroupperiodic solutiontopological degreeevolution system

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Periodic solutions to ordinary differential equations (34C25) Nonlinear differential equations in abstract spaces (34G20) Linear differential equations in abstract spaces (34G10) Abstract bifurcation theory involving nonlinear operators (47J15) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Abstract hyperbolic equations (35L90) Nonlinear evolution equations (47J35)

Related Items (6)

The averaging principle and periodic solutions for nonlinear evolution equations at resonance ⋮ Averaging principle and hyperbolic evolution equations ⋮ Periodic solutions for nonlinear evolution equations at resonance ⋮ Self-excited vibrations for damped and delayed 1-dimensional wave equations ⋮ An averaging principle for the time-dependent abstract stochastic evolution equations with infinite delay and Wiener process ⋮ Krasnosel'skii type formula and translation along trajectories method on the scale of fractional spaces

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