In this paper, we are concerned with a class of tensor equations. Some explicit solutions to these equations are obtained. They are extensions of some results given by Lancaster. At the end of the article, these results are also employed to prove Lyapunov and Stein stability theorems for tensors.

中文翻译：

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关于一类张量方程的解

在本文中，我们关注一类张量方程。获得了这些方程的一些显式解。它们是 Lancaster 给出的一些结果的扩展。在文末，这些结果也被用来证明张量的李亚普诺夫和斯坦因稳定性定理。