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The Growth Orders of Meromorphic Solutions of Differential Equations

一类微分方程亚纯解的增长级(英文)
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摘要 By meas of the Nevanlinna theory of the value distribution of meromorphic functions, this paper discusses the orders of growth of meromorphic solutions of differential equation and proves that the form of the solution is determined if the order are sufficiently large.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第1期16-20,共5页 数学季刊(英文版)
基金 the National Natural Science Foundation of China(10471065) the Natural Science Foundation of Guangdong Province(04010474)
关键词 differential equation meromorphic solution growth order 微分方程 亚纯解 增长级 亚纯函数
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参考文献3

  • 1HE Yu-zan, XIAO Xiu-zhi. Algebroid Functions and Ordinary Differential Equations[M]. Beijing: Science Press, 1988.
  • 2TODA N. On the growth of meromorphic solutions of some higher order differential equations[J]. J Math Soc Japan, 1986, 38(3): 439-451.
  • 3KATAJAMAKI K. Value distribution of some differential polynomials of entire algebroid functions[J]. Complex Variables, 1996, 30: 135-144.

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