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微分方程的解和小函数的关系
  • ISSN号：0583-1431
  • 期刊名称：《数学学报》
  • 时间：0
  • 分类：O174.5[理学—数学;理学—基础数学]
  • 作者机构：[1]五邑大学数理系,江门529020, [2]山东大学数学学院,济南250100
  • 相关基金：国家自然科学基金资助项目（10771121）;教育部高校博士点专项基金项目（20060422049）;广东省自然科学基金（9452902001003278）;广东省高校优秀青年创新人才培养项目（LYM08097）
作者： 徐俊峰[1], 仪洪勋[2]
关键词： 亚纯函数, 不动点, 小函数, meromorphic function, fixed-point, small function
中文摘要：

本文利用了一个新的引理研究了微分方程解以及它们的一阶，二阶导数，微分多项式与小函数的之间的关系．

英文摘要：

In this paper, we use a new lemma to investigate the relation between solutions, their 1st, 2nd derivatives, differential polynomial of differential equations with function of small growth.

同期刊论文项目
函数唯一性与复域微分方程
期刊论文 60
同项目期刊论文
Uniqueness of meromorphic functions sharing a meromorphic function of a smaller order with their der
THE UNIQUENESS THEOREMS OF MEROMORPHIC FUNCTIONS SHARING THREE VALUES AND ONE PAIR OF POLYNOMIALS
On Uniqueness Theorems of Meromorphic Functions Concerning Weighted Sharing of Three Values
Uniqueness of meromorphic functions whose derivatives share four small functions
GROWTH AND FIXED POINTS OF MEROMORPHIC SOLUTIONS OF HIGHER-ORDER LINEAR DIFFERENTIAL EQUATIONS
Further results on weighted sharing of values for meromorphic functions
On the complex oscillation theory of f '' plus A (z)f=0 where A(z) is analytic in the unit disc
On uniqueness of meromorphic functions sharing three values and a set consisting of two small meromo
Some results on the uniqueness of meromorphic mappings
Solutions of higher order linear differential equations in an angle
SOME INEQUALITIES OF DIFFERENTIAL POLYNOMIALS
On the uniqueness of an entire function sharing a small entire function with some linear differentia
Value sharing of meromorphic functions and their derivatives
Some further results on weighted sharing three values and Brosch's theorem
Uniqueness theorems and normal families of entire functions and their derivatives
On the uniqueness of meromorphic functions that share four values in one angular domain
On the multiple values and uniqueness of meromorphic functions on annuli
Fixed-points and uniqueness of meromorphic functions
On the uniqueness problems of meromorphic functions and their linear differential polynomials
NORMAL FAMILIES AND UNIQUENESS THEOREM OF HOLOMORPHIC FUNCTIONS
Normal families and uniqueness of entire functions and their derivatives
The growth of solutions of linear differential equations with coefficients of iterated order in the
高阶线性微分方程解的角域增长性
The uniqueness theorems of meromorphic functions sharing three values and one pair of values
On uniqueness of meromorphic functions with shared four values in some angular domains
Weighted sharing of meromorphic functions relative to small functions
Some further results on meromorphic functions that share two sets
Entire functions that share one value with their linear differential polynomials
The uniqueness theorems of meromorphic functions sharing three values and a set with two elements
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关于单位圆内解析系数的二阶线性微分方程的复振荡
Results on weighted sharing of values for meromorphic functions
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Uniqueness of entire functions and differential polynomials
An entire function and its derivatives sharing a polynomial
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关于线性微分方程解的增长性及其应用
具有一个非零公共值的亚纯函数的微分多项式唯一性
一类多项式的导函数CM分担一个非零公共值的整函数的唯一性
Value Distribution of a Class of Differential Polynomials
关于单位圆内解析系数的线性微分方程的复振荡理论
与分担值相关的正规族问题的一个注记
关于复代数微分方程亚纯解的增长级
亚纯函数分担三个值
全纯函数的正规族
正规族与正规函数的一个注记
关于亚纯函数的Nevanlinna四值定理
线性微分方程的一个复振荡结果
全纯函数的正规族与分担集
Uniqueness of Meromorphic Functions Sharing One Set
圆环内亚纯函数分担IM集合的唯一性定理
期刊信息
  • 《数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院数学研究院
  • 主编：李炳仁
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100080
  • 邮箱：Actamath@amss.ac.cn
  • 电话：010-62551910
  • 国际标准刊号：ISSN：0583-1431
  • 国内统一刊号：ISSN：11-2038/O1
  • 邮发代号:2-502
  • 获奖情况:
  • 1996年中科院优秀科技期刊二等奖,1997年全国优秀科技期刊二等奖,2000年中科院优秀科技期刊二等奖
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:9981