Inverse problems for identification of the four memory kernels in one-dimensional linear thermoviscoelasticity are reduced to a system of non-linear Volterra integral equations using Fourier's method for solving the direct problem. To this system of equations the contraction principle in weighted norms is applied. In this way global in time existence of a solution to the inverse problems is proved and stability estimates for it are derived. In analogous way inverse problems for the memory kernels in linear poroviscoelasticity can be handled. (C) 1998 B. G. Teubner Stuttgart-John Wiley & Sons, Ltd. [References: 20]
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机译：用于识别一维线性热粘弹性的四个记忆核的反问题被简化为使用傅里叶方法求解非线性Volterra积分方程组的直接问题。对于该方程组，采用加权范数的收缩原理。这样，证明了反问题解在时间上的整体存在性，并得出了其稳定性的估计。以类似的方式，可以处理记忆核的线性多孔弹性的逆问题。 （C）1998年B. G. Teubner斯图加特-约翰·威利父子有限公司[参考：20]
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