Stability result of the Timoshenko system with delay and boundary feedback

2012 ◽  
Vol 29 (3) ◽  
pp. 383-398 ◽  
Author(s):  
B. Said-Houari ◽  
A. Soufyane
2020 ◽  
Vol 43 (17) ◽  
pp. 9805-9813
Author(s):  
Elena Ochoa Ochoa ◽  
Gerardo Gómez Ávalos ◽  
Jaime E. Muñoz Rivera

2014 ◽  
Vol 21 (4) ◽  
Author(s):  
Djamel Ouchenane

AbstractIn this paper, we consider a one-dimensional linear thermoelastic system of Timoshenko type with a delay term in the feedback. The heat conduction is given by Cattaneo's law. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem. Furthermore, an exponential stability result is shown without the usual assumption on the wave speeds. To achieve our goals, we make use of the semigroup method and the energy method.


2019 ◽  
Vol 32 (4) ◽  
pp. 1997-2020 ◽  
Author(s):  
Anderson J. A. Ramos ◽  
Manoel J. Dos Santos ◽  
Mirelson M. Freitas ◽  
Dilberto S. Almeida Júnior

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