We address a Timoshenko system with memory in the history context and thermoelasticity of type III for heat conduction. Our main goal is to prove its uniform (exponential) stability by illustrating carefully the sensitivity of the heat and history couplings on the Timoshenko system. This investigation contrasts previous insights on the subject and promotes a new perspective with respect to the stability of the thermo-viscoelastic problem carried out, by combining the whole strength of history and thermal effects.

中文翻译：

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Timoshenko系统在历史和热效应下的指数稳定性的新观点

我们针对蒂莫申科系统在历史背景下的记忆和热传导的III型热弹性问题进行了探讨。我们的主要目标是通过仔细说明Timoshenko系统上热和历史耦合的敏感性来证明其均匀（指数）稳定性。这项研究通过结合历史和热效应的整体强度，对比了先前对该主题的见解，并就所进行的热粘弹性问题的稳定性提出了新的观点。