2003 Homoclinic orbits of slowly periodically forced and weakly damped beams resting on weakly elastic bearings
Flaviano Battelli, Michal Fečkan
Adv. Differential Equations 8(9): 1043-1080 (2003). DOI: 10.57262/ade/1355926579

Abstract

We show the existence of bounded and periodic solutions for certain weakly damped linear beam equations with slowly periodic perturbations resting on weakly nonlinear elastic bearings. The homoclinicity of the bounded solutions to periodic ones are also derived.

Citation

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Flaviano Battelli. Michal Fečkan. "Homoclinic orbits of slowly periodically forced and weakly damped beams resting on weakly elastic bearings." Adv. Differential Equations 8 (9) 1043 - 1080, 2003. https://doi.org/10.57262/ade/1355926579

Information

Published: 2003
First available in Project Euclid: 19 December 2012

zbMATH: 1036.35019
MathSciNet: MR1989289
Digital Object Identifier: 10.57262/ade/1355926579

Subjects:
Primary: 35B10
Secondary: 35B25 , 35B32 , 37C29 , 74H20 , 74K10

Rights: Copyright © 2003 Khayyam Publishing, Inc.

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Vol.8 • No. 9 • 2003
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