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  • Research Article
  • Open Access

A transmission problem for beams on nonlinear supports

Boundary Value Problems20062006:75107

  • Received: 20 October 2005
  • Accepted: 12 April 2006
  • Published:


A transmission problem involving two Euler-Bernoulli equations modeling the vibrations of a composite beam is studied. Assuming that the beam is clamped at one extremity, and resting on an elastic bearing at the other extremity, the existence of a unique global solution and decay rates of the energy are obtained by adding just one damping device at the end containing the bearing mechanism.


  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Equation Modeling
  • Decay Rate


Authors’ Affiliations

Department of Mathematics, State University of Maringá, Maringá, PR 87020-900, Brazil
Department of Mathematics, Federal University of Paraná, Curitiba, PR 81531-990, Brazil


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© T. F. Ma and H. Portillo Oquendo 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.