A mathematical model of suspension bridges

Gabriela Liţcanu

Applications of Mathematics (2004)

  • Volume: 49, Issue: 1, page 39-55
  • ISSN: 0862-7940

Abstract

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We prove the existence of weak T-periodic solutions for a nonlinear mathematical model associated with suspension bridges. Under further assumptions a regularity result is also given.

How to cite

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Liţcanu, Gabriela. "A mathematical model of suspension bridges." Applications of Mathematics 49.1 (2004): 39-55. <http://eudml.org/doc/33173>.

@article{Liţcanu2004,
abstract = {We prove the existence of weak T-periodic solutions for a nonlinear mathematical model associated with suspension bridges. Under further assumptions a regularity result is also given.},
author = {Liţcanu, Gabriela},
journal = {Applications of Mathematics},
keywords = {suspension bridges; periodic solution; Galerkin approximation; Leray-Schauder principle; suspension bridges; periodic solutions; Galerkin approximation; Leray-Schauder principle},
language = {eng},
number = {1},
pages = {39-55},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A mathematical model of suspension bridges},
url = {http://eudml.org/doc/33173},
volume = {49},
year = {2004},
}

TY - JOUR
AU - Liţcanu, Gabriela
TI - A mathematical model of suspension bridges
JO - Applications of Mathematics
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 1
SP - 39
EP - 55
AB - We prove the existence of weak T-periodic solutions for a nonlinear mathematical model associated with suspension bridges. Under further assumptions a regularity result is also given.
LA - eng
KW - suspension bridges; periodic solution; Galerkin approximation; Leray-Schauder principle; suspension bridges; periodic solutions; Galerkin approximation; Leray-Schauder principle
UR - http://eudml.org/doc/33173
ER -

References

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  8. 10.1137/0150041, SIAM J. Appl. Math. 50 (1990), 703–715. (1990) MR1050908DOI10.1137/0150041
  9. Periodic solutions of a nonlinear evolution equation with a linear dissipative term, Rend. Sem. Mat. Univ. Politec. Torino 37 (1980), 183–191. (1980) Zbl0459.35009MR0608937
  10. 10.1023/A:1022255113612, Appl. Math. 42 (1997), 451–480. (1997) MR1475052DOI10.1023/A:1022255113612
  11. Nonlinear Functional Analysis and Its Applications, Vol. I–III, Springer-Verlag, New York, 1985–1990. 

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