Entire solutions of Fermat-type partial differential-difference equations in $\mathbb{C}^2$

英文关键词:Fermat type,\, entire solution,\, partial differential-difference equation,\, finite order.

中文摘要:

      

英文摘要:

      In this paper, we mainly investigate the forms of entire solutions for certain Fermat-type partial differential-difference equations in $\mathbb{C}^2$ by using Nevanlinna's theory of several complex variables.