数学物理学报 ›› 2011, Vol. 31 ›› Issue (4): 918-922.

• 论文 • 上一篇    下一篇

关于某类代数微分方程整函数解的增长性估计

顾荣美, 丁建军, 袁文俊   

  1. 广州大学 数学与信息科学学院 广州 510006
  • 收稿日期:2009-07-18 修回日期:2010-08-29 出版日期:2011-08-25 发布日期:2011-08-25
  • 基金资助:

    国家自然科学基金(10441220)、国家教育部博士点基金(200810780002)和广州市教育局科技计划项目(62035)资助

On the Estimate of Growth of Entire Solutions of Some Classes of Algebric Differential Equations

 GU Rong-Mei, DING Jian-Jun, YUAN Wen-Jun   

  1. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006
  • Received:2009-07-18 Revised:2010-08-29 Online:2011-08-25 Published:2011-08-25
  • Supported by:

    国家自然科学基金(10441220)、国家教育部博士点基金(200810780002)和广州市教育局科技计划项目(62035)资助

摘要:

该文运用正规族理论给出关于某类代数微分方程整函数解有穷增长级的一般估计, 同时讨论了一类增长级为1的代数微分方程.

关键词: 整函数, 正规族, 代数微分方程

Abstract:

In this note, the authors give a general estimate of finite growth order of entire solutions  of some classes of algebraic differential equations by using the normal family theory, and also discuss a specific class of algebraic differential equations, in which the order of any transcendental entire solution is one.

Key words: Entire function, Normal family, Algebraic differential equations

中图分类号: 

  • 34A20