摘要
该文利用多变量Nevanlinna值分布理论、Hadamard因子分解定理以及差分模拟结果,研究了几类乘积型偏微差分方程组的超越整函数解的相关性质,得到两类复域非线性偏微差分方程组有限级超越整函数解的存在性条件及其形式,同时举例说明了结果的精确性.
By using Nevanlinna theory with several complex variables and Hadamard factorization theorem,the pro-perties of entire solutions of several partial differential difference equation system of product type with more general form are studied,and the existence conditions and the forms of the finite order transcendental entire solutions of two classes of complex partial differential difference equation systems are obtained.Meantime,some examples are also listed to describe that our results are precisely to some extent.
作者
焦鑫
徐洪焱
陈毓彬
JIAO Xin;XU Hongyan;CHEN Yubin(Department of Mathematics and Physics,Suqian University,Suqian Jiangsu 223800,China)
出处
《江西师范大学学报(自然科学版)》
北大核心
2025年第3期244-250,共7页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
国家自然科学基金(12161074)
大学生创新创业课题(202414160013Z)资助项目.
关键词
整函数
存在性
偏微差分方程组
NEVANLINNA理论
entire function
existence
the partial differential difference equation system
Nevanlinna theory
