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数学与物理
理论数学
Vol. 2 No. 3 (July 2012)
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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
DOI:
10.12677/PM.2012.23025
,
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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
Abstract:
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. 高阶线性微分方程解与其小函数的关系[J]. 理论数学, 2012, 2(3): 156-163.
http://dx.doi.org/10.12677/PM.2012.23025
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