On an evolution equation with acoustic boundary conditions
Juan B. Límaco, Haroldo Rodrigues Clark, C.L. Frota, Luis Adauto Medeiros · Mathematical Methods in the Applied Sciences · 2011
In this paper, we analyze from the mathematical point of view a model for small vertical vibrations of an elastic string with weak internal damping and quadratic term, coupled with mixed boundary conditions of Dirichlet type and acoustic type. Our goal is to extend some of the results of Frota-Goldstein work in the sense of considering a weaker internal damping and one more quadratic nonlinearity in the elastic string equation. Copyright © 2011 John Wiley & Sons, Ltd.