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Energy decay for Timoshenko systems of memory type
Authors:F Ammar-Khodja  JE Muñoz Rivera
Institution:a Laboratory of Mathematics, University of Franche-Comté, University of Besançon, 16, Route de Gray, 25030 Besançon, France
b Department of Research and Development, National Laboratory for Scientific Computation, Rua Getulio Vargas 333, Quitandinha, CEP 25651-070 Petrópolis, RJ, and UFRJ, Rio de Janeiro, Brazil
c Department of Mathematics and Statistics, University of Konstanz, Box D 187, 78457 Konstanz, Germany
Abstract:Linear systems of Timoshenko type equations for beams including a memory term are studied. The exponential decay is proved for exponential kernels, while polynomial kernels are shown to lead to a polynomial decay. The optimality of the results is also investigated.
Keywords:73 C 99  35 Q 99
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