=
(x). It contains Kirchhoff model for fixed ends. We obtain solutions by
Galerkin method and estimates in Sobolev spaces.
Small Vertical Vibrations of Strings with Moving Ends
Departamento de Matemática - UEM, Maringá, PR | IM-UFRJ, Rio de Janeiro, RJ, Brasil |
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,
=
(x). It contains Kirchhoff model for fixed ends. We obtain solutions by
Galerkin method and estimates in Sobolev spaces.
Key words: strings, Kirchhoff, Sobolev, Galerkin, vibrations.
2000 Mathematics Subject Classification: 74H45.