Small vertical vibrations of strings with moving ends
- Autores: María Cristina Campos Vieira, Tania Nunes Rabello, Cicero Lopes Frota, Luis Adauto Medeiros
- Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 16, Nº 1, 2003, págs. 179-206
- Idioma: inglés
- DOI: 10.5209/rev_rema.2003.v16.n1.16869
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Resumen
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, r=r(x). It contains Kirchhoff model for fixed ends. We obtain solutions by Galerkin method and estimates in Sobolev spaces.
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