Some results on the long-term behavior of solutions to a class of difference equations, which includes numerous nonlinear difference equations of various orders that attracted some attention in the last 15 years, are presented. We also present a natural connection among these difference equations, compare some results on the equations with some other ones in the literature, and give a list of a considerable number of difference equations which can be treated in a similar way.

中文翻译：

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一类具有交错索引的差分方程

介绍了关于一类差分方程解的长期行为的一些结果，其中包括在过去 15 年中引起了一些关注的众多不同阶次的非线性差分方程。我们还提出了这些差分方程之间的自然联系，将这些方程的一些结果与文献中的其他一些结果进行了比较，并列出了大量可以用类似方式处理的差分方程。