本文引入矩阵的若干等价关系，并对其中之一——拟相似作了进一步研究。

In this paper, a number of equivalent relations of matrices are introduced and one of them called quasi-similarity is studied.

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利用其等价的抛物拟变分不等式，得到了该问题古典解的存在唯一性。

We obtain the existence and uniqueness of the classical solution by its equivalent parabolic quasi variational inequality.

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最后指出了在一维情形下方向可微与拟可微是等价的。

Finally, it is pointed out that the directional differentiability is equivalent to the quaSi-differentiability in one-dimensional space.

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