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
吴彤羽 1徐洪焱1
作者信息
- 1. 宿迁学院 文理学院,江苏 宿迁 223800
- 折叠
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.
Abstract
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Key words
Nevanlinna theory/partial difference equations/entire function引用本文复制引用
基金项目
国家自然科学基金(地区科学基金)(12161074)
出版年
2024
NETL
NSTL
万方数据