Well-posedness and exponential decay for a Timoshenko thermoelastic
system with second sound and a time-varying delay term in the internal
AbstractWe 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.