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Well-posedness and exponential decay for a Timoshenko thermoelastic system with second sound and a time-varying delay term in the internal feedback
  • Zineb KHALILI,
  • Djamel OUCHENANE
Zineb KHALILI
University of Amar Telidji Laghouat
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Djamel OUCHENANE
University of Amar Telidji Laghouat
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Abstract

We study the exponential stability of the Timoshenko system in thermoelasticity of second sound with a time-varying delay term in the internal feedback.The wellposedness of the problem is assured by using the variable norm technique of Kato. Furthermore the stability of the system is shown by applying the energy method.