C^n上一类偏微分方程的亚纯解  

Meromorphic Solutions of Some Algebraic Partial Differential Equations on C^n

作　　者：宋述刚[1] 

机构地区：[1]长江大学信息与数学学院,湖北荆州434023

出　　处：《长江大学学报（自然科学版）》2005年第4期97-99,共3页Journal of Yangtze University(Natural Science Edition)

基　　金：湖北省教育厅重点项目(2003A008)。

摘　　要：应用多复变函数的值分布理论与技巧,讨论了一类高阶代数偏微分方程的可允许解,建立了高阶偏微分方程的Malmquist型定理,并推广了有关文献的结论。By applying the techniques of Nevanlinna theory of value distribution theory of meromorphic functions on Cn, the existed problems of meromorphic solutions of some higher order algebraic partial differential equations on Cn are investigated, a satisfactory Malmquist type theorem which generalizes the main results is obtained and the results of related documents are introduced.

关 键 词：多复变函数 偏微分方程 可允许解 

分 类 号：O175.2[理学—数学]