On a vibration problem of homogeneous string
DOI:
https://doi.org/10.17268/sel.mat.2018.01.01Keywords:
Wave equation, Spectral analysis, Conservative system, Exponential stabilityAbstract
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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