双变量Fermat型偏微差分方程的整函数解  

Entire Solutions of the Partial Differential Difference Equation of Fermat Type with Two Complex Variables

作　　者：丁欣 徐洪焱 DING Xin;XU Hong-yan(School of Mathematics and Computer Science,Shangrao Normal University,Shangrao 334001,China)

机构地区：[1]上饶师范学院数学与计算机科学学院,江西上饶334001

出　　处：《数学的实践与认识》2023年第2期250-257,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(12161074);上饶师范学院大学生创新创业训练计划项目(2021-CX-18)。

摘　　要：利用多变量Nevanlinna值分布理论与Hadamard分解定理,研究了一般费马型偏微差分方程整函数解的相关性质,得到两类复域偏微-差分方程有限级超越整函数解的存在性条件与其形式,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,we study the properties of entire solutions of several partial differential difference equation of Fermat type with more general form,and obtain the existence conditions and the forms of the finite order transcendental entire solutions of two classes of complex partial differential difference equations.Meantime,we also list some examples to explain that our results are precisely.

关 键 词：整函数 存在性 偏微差分方程 NEVANLINNA理论 

分 类 号：O241.3[理学—计算数学]