Hao, JianghaoWang, Fei2022-01-262022-01-262018-03-17Hao, J., & Wang, F. (2018). Energy decay in a Timoshenko-type system for thermoelasticity of type III with distributed delay and past history. <i>Electronic Journal of Differential Equations, 2018</i>(75), pp. 1-27.1072-6691https://hdl.handle.net/10877/15217In this work, we consider a one-dimensional Timoshenko system of thermoelasticity of type III with past history and distributive delay. It is known that an arbitrarily small delay may be the source of instability. We establish the well-posedness and the stability of the system for the cases of equal and nonequal speeds of wave propagation respectively. Our results show that the damping effect is strong enough to uniformly stabilize the system even in the presence of time delay under suitable conditions and improve the related results.Text27 pages1 file (.pdf)enAttribution 4.0 InternationalTimoshenko systemPast historyRelaxation functionDistributed delayEnergy decayArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.