A class of neutral difference equation with delay is considered and a sufficient condition for the oscillation of the equations is obtained.

考虑一类时滞差分方程的振动性，得到了该方程振动的一个充分条件。

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By discussing a class of the neutral difference equation with several delay arguments, the author deduces a necessary and sufficient condition for the existence of bounded positive solutions.

考虑一类含有多个滞量的中立型差分方程，获得了该方程存在有界正解的一个充分必要条件。

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