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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Format: | Article |
Language: | English |
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University of Szeged
2004-08-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_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. |
first_indexed | 2024-04-09T13:41:26Z |
format | Article |
id | doaj.art-3fb436b211a042fc8f6088634e8bee3d |
institution | Directory Open Access Journal |
issn | 1417-3875 |
language | English |
last_indexed | 2024-04-09T13:41:26Z |
publishDate | 2004-08-01 |
publisher | University of Szeged |
record_format | Article |
series | Electronic Journal of Qualitative Theory of Differential Equations |
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¶mtipus_ertek=publication¶m_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¶mtipus_ertek=publication¶m_ertek=180 |
work_keys_str_mv | AT michalfeckan forcedoscillationsofbeamsonelasticbearings |