Hong Yan Xu, Goutam Haldar
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.
Submitted January 6, 2024. Published March 25, 2024.
Math Subject Classifications: 39A45, 32H30, 30D35.
Key Words: Entire solutions; Fermat-type; partial differential equations; Nevanlinna theory.
DOI: 10.58997/ejde.2023.26
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Hong Yan Xu School of Arts and Sciences Suqian University Suqian, Jiangsu 223800, China email: xhyhhh@126.com |
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Goutam Haldar Department of Mathematics Ghani Khan Choudhury Institute of Engineering and Technology Narayanpur, Malda - 732141, West Bengal, India email: goutamiitm@gmail.com, goutamiit1986@gmail.com |
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