Nonlinear models of suspension bridges: discussion of the results

Pavel Drábek; Gabriela Holubová; Aleš Matas; Petr Nečesal

Applications of Mathematics (2003)

  • Volume: 48, Issue: 6, page 497-514
  • ISSN: 0862-7940

Abstract

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In this paper we present several nonlinear models of suspension bridges; most of them have been introduced by Lazer and McKenna. We discuss some results which were obtained by the authors and other mathematicians for the boundary value problems and initial boundary value problems. Our intention is to point out the character of these results and to show which mathematical methods were used to prove them instead of giving precise proofs and statements.

How to cite

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Drábek, Pavel, et al. "Nonlinear models of suspension bridges: discussion of the results." Applications of Mathematics 48.6 (2003): 497-514. <http://eudml.org/doc/33163>.

@article{Drábek2003,
abstract = {In this paper we present several nonlinear models of suspension bridges; most of them have been introduced by Lazer and McKenna. We discuss some results which were obtained by the authors and other mathematicians for the boundary value problems and initial boundary value problems. Our intention is to point out the character of these results and to show which mathematical methods were used to prove them instead of giving precise proofs and statements.},
author = {Drábek, Pavel, Holubová, Gabriela, Matas, Aleš, Nečesal, Petr},
journal = {Applications of Mathematics},
keywords = {beam equation; system of beam wave equation; initial boundary value problem; bifurcation; Fučík spectrum; beam equation; system of beam wave equation; initial boundary value problem; bifurcation; Fučík spectrum},
language = {eng},
number = {6},
pages = {497-514},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Nonlinear models of suspension bridges: discussion of the results},
url = {http://eudml.org/doc/33163},
volume = {48},
year = {2003},
}

TY - JOUR
AU - Drábek, Pavel
AU - Holubová, Gabriela
AU - Matas, Aleš
AU - Nečesal, Petr
TI - Nonlinear models of suspension bridges: discussion of the results
JO - Applications of Mathematics
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 6
SP - 497
EP - 514
AB - In this paper we present several nonlinear models of suspension bridges; most of them have been introduced by Lazer and McKenna. We discuss some results which were obtained by the authors and other mathematicians for the boundary value problems and initial boundary value problems. Our intention is to point out the character of these results and to show which mathematical methods were used to prove them instead of giving precise proofs and statements.
LA - eng
KW - beam equation; system of beam wave equation; initial boundary value problem; bifurcation; Fučík spectrum; beam equation; system of beam wave equation; initial boundary value problem; bifurcation; Fučík spectrum
UR - http://eudml.org/doc/33163
ER -

References

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