On the stability of Timoshenko systems with Gurtin-Pipkin thermal lawReport as inadecuate



 On the stability of Timoshenko systems with Gurtin-Pipkin thermal law


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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.



Author: Filippo Dell'Oro; Vittorino Pata

Source: https://archive.org/







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