文献类型：期刊文献

英文题名：On the entire solutions for several partial differential difference equations (Systems) of fermat type in c2

作者：Xu H.Y.; Xuan Z.X.; Luo J.; Liu S.M.

机构：[1]School of Mathematics and Computer Science, Shangrao Normal University, Shangrao, 334001, Jiangxi, China;[2]School of mathematics and statistics, Xidian University, Xian, 710126, Shaanxi, China;[3]Department of General Education, Beijing Union University, No.97 Bei Si Huan Dong Road Chaoyang District, Beijing, 100101, China;[4]Depatment of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, 333403, Jiangxi, China

第一机构：School of Mathematics and Computer Science, Shangrao Normal University, Shangrao, 334001, Jiangxi, China

年份：2021

卷号：6

期号：2

起止页码：2003-2017

外文期刊名：AIMS Mathematics

收录：Scopus(收录号：2-s2.0-85099287656)

语种：英文

外文关键词：Entire function; Nevanlinna theory; Partial differential difference equation system

摘要：By utilizing the Nevanlinna theory of meromorphic functions in several complex variables, we will establish some theorems about the existence and the forms of entire solutions for several partial differential difference equations (systems) of Fermat type with two complex variables such as (Formula Presented), which are some extensions and generalizations of the previous theorems given by Xu and Cao [29,30], Xu, Liu and Li [28], and Liu, Yang [18–20]. Moreover, we give some examples to explain that our results are precise to some extent. ? 2021 the Author(s), licensee AIMS Press.