@article{Almutairi2024, 
author = {Hasan Almutairi and Soh Edwin Mukiawa},
title = {On the uniform stability of a thermoelastic Timoshenko system with infinite memory},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {6},
pages = {16260-16279},
keywords = {Timoshenko, infinite memory, thermoelasticity, stability analysis},
url = {https://www.sciopen.com/article/10.3934/math.2024787},
doi = {10.3934/math.2024787},
abstract = {The present research is aim at investigating a thermoelastic Timoshenko system with an infinite memory term on the shear force while the bending moment is under the influence of a thermoelastic dissipation governed by Fourier's law. We prove that the system's stability holds for a broader class of relaxation functions. Under this class of relaxation functions    h at infinity, we establish a relation between the decay rate of the solution and the growth of    h at infinity. Moreover, we drop the boundedness assumptions on the history data. We employ Neumann-Dirichlet-Neumann boundary conditions for our result. In comparison to the bulk of results in the literature, which frequently enforce the "equal-wave-speed" constraint, the present result shows that the infinite memory of the beam and the thermal damping are strong enough to guarantee stability without any conditions on the parameters.}
}