摘要
本文主要目的是利用值分布理论研究复高阶微分方程(Ω(z,ω)/ω~k0(ω')~k1…(ω^(n)~kn)~m=aω~p+sum from j=0 to x b_j(z)ω~j(p≥m)亚纯允许解的存在性问题.证明了一个在适当的条件下,该微分方程的亚纯解一定不是允许解的结果.实例表明该文的结果是最佳的.
The main purpose of this paper is to investigate the existence of complex higher-order
differential equation ( by using the value
distribution theory, and to prove a resuct which meromorphic solutions of this differential equation must be non-admissible solutions under some proper condition. An example is given to show that the result in this paper is sharp.
出处
《数学杂志》
CSCD
北大核心
2003年第3期381-384,共4页
Journal of Mathematics
基金
国家自然科学基金(19971052)
关键词
允许解
微分方程
值分布
admissible solution
differential equation
value distribution
