Fermat型偏微差分方程解的存在性及形式  

The existence and forms of solutions of the partial differential-difference equations of fermat type

作　　者：汪楠 徐洪焱 刘林 WANG Nan;XU Hongyan;LIU Lin(Department of Medical imaging,Jiangxi Medical College,Jiangxi Shangrao 334001,China;School of Mathematics and Computer Science,Shangrao Normal University,Jiangxi Shangrao 334001,China)

机构地区：[1]江西医学高等专科学校医学影像系,江西上饶334001 [2]上饶师范学院数学与计算机科学学院,江西上饶334001

出　　处：《南昌大学学报（理科版）》2021年第5期432-436,共5页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(11561033);江西省自然科学基金资助项目(20181BAB201001);江西省教育厅科学技术研究基金资助项目(GJJ190876)。

摘　　要：利用多变量Nevanlinna值分布理论与差分模拟结果,讨论了两类广义Fermat型偏微-差分方程的解的性质,得到了含一个,二个偏微分以及差分的方程有限级超越整函数解的存在性条件以及解的形式,并举例说明了解的形式是正确的。In this paper,it is devited to exploring the properties of solutions to the partial differentia-difference equations of Fermat type.By using the Nevanlinna theory with several complex variables and the difference simulation results,the existence and forms of transcendental entire solutions to the partial differential and difference equations of Fermat type are obtained.Meantime,some examples are also shown to prove the accuracy of the proposed method.

关 键 词：超越整函数 Fermat型 有限级 

分 类 号：O1745[理学—数学]