理论数学

Vol.2 No.3 (July 2012)

高阶线性微分方程解与其小函数的关系
The Relation between Solutions of Higher Order Linear Differential Equations and Functions of Small Growth

 

作者:

金 瑾 :贵州省毕节学院数学系

 

关键词:

线性微分方程整函数小函数收敛指数Linear Differential Equations Entire Function Small Function Exponent of Convergence

 

摘要:

本文研究了高阶线性齐次微分方程

解的增长性,其中

是整函数,为非零复常数,得到了方程解的一阶导数,二阶导数,微分多项式与小函数之间的关系。

In this paper, the growth of solutions of higher order linear differential equation is investigates,

 in the  were entire functions, ,  are non-zero constant obtains their 1st, 2nd derivatives, differential polynomial of differential equations with function of small growth.

文章引用:

金 瑾 (2012) 高阶线性微分方程解与其小函数的关系。 理论数学, 2, 156-163. doi: 10.12677/PM.2012.23025

 

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