ENTIRE SOLUTIONS TO FERMAT-TYPE DIFFERENCE AND PARTIAL DIFFERENTIAL-DIFFERENCE EQUATIONS IN Cn

被引：7
|
作者：
Xu, Hong Yan [1 ]
Haldar, Goutam [2 ]
机构：
[1] Suqian Univ, Sch Arts & Sci, Suqian 223800, Jiangsu, Peoples R China
[2] Ghani Khan Choudhury Inst Engn & Technol, Dept Math, Malda 732141, West Bengal, India
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 2024卷 / 26期
基金：
中国国家自然科学基金;
关键词：
Entire solutions; Fermat-type; partial differential equations; Nevanlinna theory; 2ND MAIN THEOREM; MEROMORPHIC SOLUTIONS; LEMMA;
D O I：
10.58997/ejde.2024.26
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：21
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