In this note we investigate the continuous dependence of the solutions for a theory of heat conduction with a delay term. We use energy arguments to obtain the continuous dependence results and spectral arguments to prove the non-uniqueness result. The extension to the thermoelastic problem is also pointed out.
Quintanilla, R. A note on a non-standard problem for an equation with a delay term. "Applied mathematics and computation", 01 Juliol 2010, vol. 216, núm. 9, p. 2759-2765.