Small vertical vibrations of strings with moving ends.
Nunes Rabello, Tania ; Campos Vieira, María Cristina ; Lopes Frota, Cicero ; Adauto Medeiros, Luis
Revista Matemática de la Universidad Complutense de Madrid, Tome 16 (2003), p. 179-206 / Harvested from Biblioteca Digital de Matemáticas
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In this work we investigate a mathematical model for small vertical vibrations of a stretched string when the ends vary with the time t and the cross sections of the string is variable and the density of the material is also variable, that is, p=p(x). It contains Kirchhoff model for fixed ends. We obtain solutions by Galerkin method and estimates in Sobolev spaces.

Publié le : 2003-01-01
DMLE-ID : 817 
@article{urn:eudml:doc:44349,
     title = {Small vertical vibrations of strings with moving ends.},
     journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
     volume = {16},
     year = {2003},
     pages = {179-206},
     zbl = {1053.74019},
     mrnumber = {MR2031881},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44349}
}

Nunes Rabello, Tania; Campos Vieira, María Cristina; Lopes Frota, Cicero; Adauto Medeiros, Luis. Small vertical vibrations of strings with moving ends.. Revista Matemática de la Universidad Complutense de Madrid, Tome 16 (2003) pp. 179-206. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44349/