Results on Solutions for Several Systems of Partial Differential-Difference Equations with Two Complex Variables

This article is to describe the entire solutions of some partial differential-difference equations and systems. Some theorems about the forms of transcendental entire solutions with finite order for several high-order partial differential-difference equations (or systems) of the Fermat type with two complex variables are obtained. Moreover, some examples are provided to explain that our results are precise to some extent.

Automated summary

This article describes the entire solutions of some partial differential-difference equations and systems. The theorems about the forms of transcendental entire solutions with finite order for high-order partial differential-difference equations (or systems) of the Fermat type with two complex variables are obtained. Additionally, examples are provided to demonstrate the precision of the results to some extent.