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On the stability of Timoshenko systems with Gurtin-Pipkin thermal law (1304.0985v1)
Published 3 Apr 2013 in math.AP
Abstract: We analyze a differential system describing a Timoshenko beam coupled with a temperature evolution of Gurtin-Pipkin type. A necessary and sufficient condition for exponential stability is established in terms of the structural parameters of the equations. In particular, we generalize previously known results on the Fourier-Timoshenko and the Cattaneo-Timoshenko beam models.