摘要
本文研究了多复变中一类复高阶偏微分方程组的允许解的存在性问题,利用多复变值分布理论和技巧,获得一类复高阶偏微分方程组在给定条件下,其允许解的性质.并将单复微分方程组中的一些结果推广到多复变中.
In this paper,the problem of the existence of admissible meromorphic solutions of a class of sytems of higher-order partial differential equations in several complex variables is investigated by using the value distribution theory and techniques in several complex variables. Some qualities of admissible meromorphic solutions of a class of systems of higher-order partial differential equations under some conditions are obtained. Some results of systems of differential equations are generalized to several complex variables.
出处
《数学杂志》
CSCD
北大核心
2007年第2期127-134,共8页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China(10471065)
the Natural Science Foundation of Guangdong Province(0401074).
关键词
允许解
多复变
偏微分方程组
admissible solutions
several complex variables
systems of partial differential equations
