In this article, we discuss the problem about the properties on solutions for several types of -difference equations and obtain some results on the exceptional values of transcendental meromorphic solutions with zero order, their -differences , and divided differences . In addition, we also investigated the condition on the existence of rational solution for a class of -difference equations. Our theorems are some extensions and supplement to those results given by Liu and Zhang and Qi and Yang.

中文翻译：

---

关于有理解，零点和极点的几个-Painlevé差分方程的解的结果

在本文中，我们讨论了有关几种类型的-差分方程解的性质的问题，并获得了关于零阶先验亚纯解的超值及其-差分的一些结果。，并划分不同。此外，我们还研究了一类的合理的解决办法存在的条件-差分方程。我们的定理是对Liu和Zhang以及Qi和Yang的结果的一些扩展和补充。