We consider a one-dimensional linear thermoelastic Bresse system with delay term, forcing, and infinity history acting on the shear angle displacement. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem using the semigroup method, where an asymptotic stability result of global solution is obtained.

中文翻译：

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与强迫，延迟和过去历史术语相关的第二声音热弹性-布雷斯系统的稳定性的新结果

我们考虑一维线性热弹性Bresse系统，该系统具有作用于剪切角位移的延迟项，强迫和无穷大历史。在延迟权重和阻尼权重之间的适当假设下，我们使用半群方法证明了问题的适定性，从而获得了整体解的渐近稳定性结果。