A stability result of a Timoshenko system with a delay term in the internal feedback |
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Authors: | Belkacem Said-Houari Yamina Laskri |
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Affiliation: | a Laboratoire de Mathématiques, Université de Savoie, 73376 Le Bourget du Lac, France b Laboratoire de Mathématiques Appliquées, Université Badji Mokhtar, B.P. 12, Annaba 23000, Algeria |
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Abstract: | In this paper, we consider a Timoshenko system with a delay term in the feedback and prove a stability result. The beam is clamped at the endpoints and has, in addition to an internal damping, a feedback with a delay.Under an appropriate assumption on the weights of the two feedbacks, we prove the well-posedness of the system and establish an exponential decay result for the case of equal-speed wave propagation. |
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Keywords: | Timoshenko Delay Global solutions Stability Damping Exponential decay |
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