复域非线性偏微q-差分方程的超越解  

The Transcendental Solutions of Several Complex Nonlinear Partial Differential q-Difference Equations

作　　者：徐宜会 刘晓兰[1] 李艳芳 徐洪焱 XU Yihui;LIU Xiaolan;LI Yanfang;XU Hongyan(School of Arts and Sciences,Suqian University,Suqian Jiangsu 223800,China)

机构地区：[1]宿迁学院文理学院,江苏宿迁223800

出　　处：《江西师范大学学报（自然科学版）》2023年第4期331-335,共5页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(12161074)资助项目.

摘　　要：该文利用Nevanlinna值分布理论,主要讨论了复域非线性偏微q-差分方程的解,得到了几类Fermat型偏微q-差分方程的超越整函数解的存在性条件与形式,并举例说明方程解的形式是准确的.In this paper,the solutions of several complex partial differential equations are studied by making use of Nevanlinna theory with two complex variables.Some results about the existence and the forms of the transcendental entire solutions of such equations are obtained.Meantime,some examples show that our theorems are precise to some extent.

关 键 词：NEVANLINNA理论 偏微q-差分方程 超越 Fermat型 

分 类 号：TP311[自动化与计算机技术—计算机软件与理论]