华东师范大学学报(自然科学版) ›› 2014, Vol. 2014 ›› Issue (1): 21-26.

• 应用数学与基础数学 • 上一篇    下一篇

两类整函数系数线性微分方程的解及其与小函数的关系

孙桂荣   

  1. 苏州科技学院数理学院~~数学系, 苏州\; 215009
  • 收稿日期:2013-04-01 修回日期:2013-07-01 出版日期:2014-01-25 发布日期:2015-09-25

Relations between solutions of two classes of  differential equations with entire function coefficients and functions of small growth

SUN Gui-rong   

  1. Department of Mathematics, University of Science and Technology of Suzhou, Suzhou Jiangsu 215009, China
  • Received:2013-04-01 Revised:2013-07-01 Online:2014-01-25 Published:2015-09-25

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摘要： 运用值分布理论, 讨论了两类整函系数二阶齐次线性微分方程;
得到了方程的解及其一阶、二阶导数与小函数之间的关系.
改进和推广了一些文献的结果.

关键词: 微分方程, 收敛指数, 小函数

Abstract: This paper was devoted to studying two classes of second
order linear
 differential equations with entire function coefficients by using the
  value distribution theory.
The relations between functions of small growth and the solutions of
the equations, as well as, their 1st and 2nd derivatives
investigated. The results improve some previous works.

Key words: differential equation, exponent of convergence, small function

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