Energy decay rates for a Timoshenko-type system of thermoelasticity of type III with constant delay

Abstract

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 theory. We establish the stability of the system for the case of equal and nonequal speeds of wave propagation.

Keywords:

• uniform decay
• Timoshenko
• thermoelasticity type III
• delay

AMS Subject Classifications:

• 35B40
• 35L45
• 74H40
• 93D20
• 93D15

Acknowledgments

The authors thank King Fahd University of Petroleum and Minerals (KFUPM) for its continuous support. This work has been funded by KFUPM under Project # FT 111002.