Well-posedness and stability results in a Timoshenko-type system of thermoelasticity of type III with delay

摘要

In this paper, we consider a one-dimensional linear thermoelastic system of Timoshenko type with delay, where the heat conduction is given by Green and Naghdi's theory. We establish the well-posedness and the stability of the system for the cases of equal and nonequal speeds of wave propagation.