Abstract The present article investigates a thermo-viscoelastic laminated beam system, where the heat conduction is given by Maxwell–Cattaneo’s law (popularly known as second sound). We establish explicit and general stability results for the solution energy in the case of equal-speed propagation and nonequal speed. Our results contain the exponential and polynomial decay as particular cases. We also present some examples to illustrate our theoretical findings. These new results generalize and improve many results in the literature.

中文翻译：

---

具有 Maxwell-Cattaneo 热传导的记忆型层压热弹性系统的稳定性结果

摘要 本文研究了热粘弹性层压梁系统，其中热传导由麦克斯韦-卡塔尼奥定律（俗称第二声）给出。我们建立了等速传播和非等速传播情况下解能量的显式和一般稳定性结果。我们的结果包含指数和多项式衰减作为特殊情况。我们还提供了一些例子来说明我们的理论发现。这些新结果概括并改进了文献中的许多结果。