A maxmin principle for nonlinear eigenvalue problems with application to a rational spectral problem in fluid-solid vibration

Heinrich Voss

Applications of Mathematics (2003)

  • Volume: 48, Issue: 6, page 607-622
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Voss, Heinrich. "A maxmin principle for nonlinear eigenvalue problems with application to a rational spectral problem in fluid-solid vibration." Applications of Mathematics 48.6 (2003): 607-622. <http://eudml.org/doc/33171>.

@article{Voss2003,
abstract = {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.},
author = {Voss, Heinrich},
journal = {Applications of Mathematics},
keywords = {nonlinear eigenvalue problem; variational characterization; maxmin principle; fluid structure interaction; nonlinear eigenvalue problem; variational characterization; fluid structure interaction},
language = {eng},
number = {6},
pages = {607-622},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A maxmin principle for nonlinear eigenvalue problems with application to a rational spectral problem in fluid-solid vibration},
url = {http://eudml.org/doc/33171},
volume = {48},
year = {2003},
}

TY - JOUR
AU - Voss, Heinrich
TI - A maxmin principle for nonlinear eigenvalue problems with application to a rational spectral problem in fluid-solid vibration
JO - Applications of Mathematics
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 6
SP - 607
EP - 622
AB - 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.
LA - eng
KW - nonlinear eigenvalue problem; variational characterization; maxmin principle; fluid structure interaction; nonlinear eigenvalue problem; variational characterization; fluid structure interaction
UR - http://eudml.org/doc/33171
ER -

References

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