Perturbation of a biharmonic eigenvalue problem
Zaman, F.D. (1977)
Portugaliae mathematica
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Zaman, F.D. (1977)
Portugaliae mathematica
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Markus Stammberger, Heinrich Voss (2014)
Applications of Mathematics
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Small amplitude vibrations of an elastic structure completely filled by a fluid are considered. Describing the structure by displacements and the fluid by its pressure field one arrives at a non-selfadjoint eigenvalue problem. Taking advantage of a Rayleigh functional we prove that its eigenvalues can be characterized by variational principles of Rayleigh, minmax and maxmin type.
Macias-Virgos, E., Pereira-Saez, M.J. (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Voss, Heinrich (2005)
Journal of Applied Mathematics
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Vanderlei Horita, Ali Tahzibi (2006)
Annales de l'I.H.P. Analyse non linéaire
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Heinrich Voss (2003)
Applications of Mathematics
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In this paper we prove a maxmin principle for nonlinear nonoverdamped eigenvalue problems corresponding to the characterization of Courant, Fischer and Weyl for linear eigenproblems. We apply it to locate eigenvalues of a rational spectral problem in fluid-solid interaction.
Boscaggin, A., Garrione, M. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Shubov, Marianna A., Wineberg, Stephen, Holt, Robert (2010)
Mathematical Problems in Engineering
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