Abstract and Applied Analysis
Volume 7 (2002), Issue 10, Pages 531-546
doi:10.1155/S1085337502204133
Decay rates for solutions of a Timoshenko system with a memory condition at the boundary
Department of Mathematics, Federal University of Pará, Campus Universitario do Guamá, Rua Augusto Corrêa 01, Pará Cep 66075-110, Brazil
Received 2 March 2002
Copyright © 2002 Mauro de Lima Santos. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We consider a Timoshenko system with memory condition at the
boundary and we study the asymptotic behavior of the
corresponding solutions. We prove that the energy decay with the
same rate of decay of the relaxation functions, that is, the
energy decays exponentially when the relaxation functions decays
exponentially and polynomially when the relaxation functions
decays polynomially.