On a vibration problem of homogeneous string

• Figueroa-López, Rodiak N. ^[1] ; Lozada-Cruz, Germán ^[1]
  1. [1] Department of Mathematics, Universidade Estadual Paulista (UNESP), Rua Cristóvao Colombo, 2265, Sao José do Rio Preto, SP, CEP: 15054-000, Brazil.
• Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 5, Nº. 1 (Enero - Julio), 2018, págs. 1-6
• Idioma: inglés
• DOI: 10.17268/sel.mat.2018.01.01
• Títulos paralelos:
  • Sobre un problema de vibración de cuerda homogénea
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• Resumen
  • español

    En este artículo estudiamos la existencia y unicidad de la solución débil de un modelo matemático que describe la vibración de una cuerda. Este modelo está dado por una ecuación de onda con condiciones de frontera dinámicas. También, mostramos que este modelo es conservativo pero no es exponencialmente  estable.

  • English

    In this paper we study the existence and uniqueness of the weak solution of a mathematical model that describes the vibration of a string. This model is given by a wave equation with dynamic boundary conditions. Also, we show that this model is conservative but is not exponentially stable.

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