Entire solutions to Fermat-type difference and partial differential-difference equations in C^n

System of Fermat-type difference equations in $ \mathbb{C}^n $

Authors

  • Hong Yan Xu Suqian Univ., Suqian, Jiangsu, China
  • Goutam Haldar Ghani Khan Choudhury Inst.of Engineering and Tech., West Bengal, India

DOI:

https://doi.org/10.58997/ejde.2024.26

Abstract

In this article, we study the existence and the form of finite order transcendental entire solutions of systems of Fermat-type difference and partial differential-difference equations in several complex variables. Our results extend previous theorems given by Xu-Cao [49], Xu et al [52], and Zheng-Xu [55]. We give some examples to illustrate the content of this article.

For more information see https://ejde.math.txstate.edu/Volumes/2024/26/abstr.html

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2024-03-25

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Entire solutions to Fermat-type difference and partial differential-difference equations in C^n: System of Fermat-type difference equations in $ \mathbb{C}^n $. (2024). Electronic Journal of Differential Equations, 2024(01-??), No. 26, 1-21. https://doi.org/10.58997/ejde.2024.26