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一个微分方程的解及其应用
引用本文:王建平.一个微分方程的解及其应用[J].数学杂志,2006,26(1):31-36.
作者姓名:王建平
作者单位:绍兴文理学院数学系,湖北,绍兴,312000
基金项目:SupportedbytheNSF(No.10371065)ofChina,theNSF(No.M103006)ofZhejiangProvince.
摘    要:本文利用Gundersen的方法研究了一个线性微分方程的解并证明此方程的每一个整函数解的级必为无穷,推广了Gundersen和杨连中的若干结果。作为应用,我们还研究了与导数具有公共不动点的整函数.

关 键 词:整函数  公共值  不动点
文章编号:0255-7797(2006)01-0031-06
收稿时间:2003-10-20
修稿时间:2003-10-202004-09-08

ON SOLUTION OF A DIFFERENTIAL EQUATION AND ITS APPLICATION
WANG Jian-ping.ON SOLUTION OF A DIFFERENTIAL EQUATION AND ITS APPLICATION[J].Journal of Mathematics,2006,26(1):31-36.
Authors:WANG Jian-ping
Institution:Dept. of Math. , Shaoxing College of Arts and Sciences, Shaoxing 312000,China
Abstract:In this paper, we investigate the solution of a l inear differential equation by using the method of Gundersen and prove that the order of every entire solution of the differential equation under consideration is infinite, which generalizes some results given by Gundersen and Yang. Also we give one of its applications to the entire functions that have the same fixed p oints with their derivatives.
Keywords:entire function  shared value  fixed point
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