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一类二阶微分方程的解和小函数的关系
引用本文:陈宗煊,孙光镐.一类二阶微分方程的解和小函数的关系[J].数学年刊A辑(中文版),2006(4).
作者姓名:陈宗煊  孙光镐
作者单位:华南师范大学数学科学学院,釜山大学自然科学学院数学系 广州 510631,釜山 609-735,韩国
基金项目:高校博士点基金(No.20050574002),广东省自然科学基金(No.04010360),韩国科协智力联合基金(No.062-1-3-0101)资助的项目
摘    要:在文中研究了一类二阶线性微分方程的解以及它们的一阶,二阶导数,微分多项式与小函数之间的关系.

关 键 词:微分方程  收敛指数  整函数

The Relation Between Solutions of a Class of Second Order Differential Equation with Functions of Small Growth
CHEN Zongxuan SHON Kwang Ho School of Mathematical Sciences,South China Normal University,Guangzhou ,China.The Relation Between Solutions of a Class of Second Order Differential Equation with Functions of Small Growth[J].Chinese Annals of Mathematics,2006(4).
Authors:CHEN Zongxuan SHON Kwang Ho School of Mathematical Sciences  South China Normal University  Guangzhou  China
Institution:CHEN Zongxuan SHON Kwang Ho School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China. Department of Mathematics,College of Natural Sciences,Pusan National University,Pusan 609-735,Korea.
Abstract:This paper investigates the relation between solutions, their 1th, 2th derivatives, differential polynomial of a class of second order linear differential equations with function of small growth.
Keywords:Differential equation  Exponent of convergence  Entire function
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