摘要
文章通过多变量值分布理论研究复偏微分方程与方程组的解,得到一类偏微分方程与一类偏微分方程组有限级超越整函数解的存在性及其形式.同时,我们举例说明了结果是精确的.
By making use of the Nevanlinna theory in several complex variables,we investigate the entire solutions of a class of complex partial differential equation and a system of complex partial differential equations,and obtain some theorems involving the existence and the forms of several complex partial differential equations and complex partial differential equations system of Fermat type.Meantime,we give some examples to show that our results are precise.
作者
汪楠
徐洪焱
WANG Nan;XU Hongyan(School of Medical Imaging,Jiangxi Medical College,Shangrao 334001,China;School of Mathematics and Computer Science,Shangrao Normal University,Shangrao 334001,China)
出处
《应用数学》
北大核心
2023年第1期230-236,共7页
Mathematica Applicata
基金
国家自然科学基金(12161074)。
关键词
整函数
偏微分方程组
Fermat型
Entire function
Partial differential equation system
Fermat type