Forced oscillations of beams on elastic bearings

We study the existence of weak periodic solutions for certain damped and forced linear beam equations resting on semi-linear elastic bearings. Conditions for the periodic forcing term and semi-linear elastic bearings are derived which ensure either the existence or nonexistence of periodic solutions...

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Main Author: Michal Fečkan
Format: Article
Language:English
Published: University of Szeged 2004-08-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=180
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author Michal Fečkan
author_facet Michal Fečkan
author_sort Michal Fečkan
collection DOAJ
description We study the existence of weak periodic solutions for certain damped and forced linear beam equations resting on semi-linear elastic bearings. Conditions for the periodic forcing term and semi-linear elastic bearings are derived which ensure either the existence or nonexistence of periodic solutions of the beam equation. Topological degree arguments are used to achieve these results.
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spelling doaj.art-3fb436b211a042fc8f6088634e8bee3d2023-05-09T07:52:57ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752004-08-012003912010.14232/ejqtde.2003.6.9180Forced oscillations of beams on elastic bearingsMichal Fečkan0Comenius University, Bratislava, SlovakiaWe study the existence of weak periodic solutions for certain damped and forced linear beam equations resting on semi-linear elastic bearings. Conditions for the periodic forcing term and semi-linear elastic bearings are derived which ensure either the existence or nonexistence of periodic solutions of the beam equation. Topological degree arguments are used to achieve these results.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=180
spellingShingle Michal Fečkan
Forced oscillations of beams on elastic bearings
Electronic Journal of Qualitative Theory of Differential Equations
title Forced oscillations of beams on elastic bearings
title_full Forced oscillations of beams on elastic bearings
title_fullStr Forced oscillations of beams on elastic bearings
title_full_unstemmed Forced oscillations of beams on elastic bearings
title_short Forced oscillations of beams on elastic bearings
title_sort forced oscillations of beams on elastic bearings
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=180
work_keys_str_mv AT michalfeckan forcedoscillationsofbeamsonelasticbearings