Energy decay in a Timoshenko-type system for thermoelasticity of type III with distributed delay and past history

Date
2018-03-17
Authors
Hao, Jianghao
Wang, Fei
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In 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.
Description
Keywords
Timoshenko system, Past history, Relaxation function, Distributed delay, Energy decay
Citation
Hao, 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.