几类双变量乘积型偏微差分方程的整函数解  

Entire solutions of several product type partial differential difference equations with two variables

作　　者：吴彤羽 徐洪焱 WU Tongyu;XU Hongyan(Suqian University,Suqian 223800 China)

机构地区：[1]宿迁学院文理学院,江苏宿迁223800

出　　处：《新余学院学报》2024年第5期100-106,共7页Journal of Xinyu University

基　　金：国家自然科学基金(地区科学基金)“单、多变量复(偏)微差分方程(组)与复函数的若干问题研究”(12161074)。

摘　　要：利用多变量的Nevanlinna理论以及亚纯函数差分模拟结果,讨论了几类双变量乘积型偏微差分方程,并得到了方程有限级超越整函数解的存在性条件及其形式。同时,相关例子说明了解的精确性。By making use of the basic theorem of Nevanlinna's theory of several complex variables and the analogies results of difference of meromorphic functions,we investigate the entire solutions of several classes of the product type nonlinear partial differential equations with two complex variables,and obtain the existence conditions and forms of finite order transcendental entire solutions of such equations.At the same time,we provide some relevant examples to illustrate the accuracy of the solution in this article.

关 键 词：NEVANLINNA理论 偏微差分方程 整函数 

分 类 号：O174.5[理学—数学]