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关于线性微分方程解的增长性及其应用
  • ISSN号：1672-5174
  • 期刊名称：《中国海洋大学学报：自然科学版》
  • 时间：0
  • 分类：O174.52[理学—数学;理学—基础数学]
  • 作者机构：[1]中国海洋大学数学科学学院,山东青岛266100
  • 相关基金：国家自然科学基金（10771121 40776006）; 国家自然科学基金中俄合作协定项目（10911120056）; 山东省自然科学基金（Z2008A01 ZR2009AM008）资助 感谢审稿专家对本文提出的有益的建议.
作者： 李效敏[1], 高灵[1], 曹建[1]
关键词： 线性微分多项式, 整函数, 分担值, 唯一性定理, linear differential polynomials, entire functions, shared values, uniqueness theorems
中文摘要：

本文应用Wiman-valiron理论研究2类非齐次线性微分方程的解的增长性,并由此得到有穷级整函数及其k（≥1）阶导函数具有1个非零公共值的唯一性定理。本文结果改进了R.Brück和杨连中等人的结果。

英文摘要：

Based on Wiman-Valiron theory,this paper deals with the growth of solutions of two kinds of non-homogeneous linear differential equations.A theorem on uniqueness of non-constant entire functions sharing a nonzero complex number with their derivatives of k-th order,where k is a positive integer,is proved the results obtained improve those given by R.Br ck,Lian-Zhong Yang,and others.

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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
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Fixed-points and uniqueness of meromorphic functions
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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
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On the multiple values and uniqueness of meromorphic functions sharing small functions as targets
On meromorphic functions that share three values of finite weights
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
On the uniqueness problems of entire functions and their linear differential polynomials
Uniqueness of entire functions and differential polynomials
An entire function and its derivatives sharing a polynomial
On uniqueness of an entire function and its derivatives
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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
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关于单位圆内解析系数的线性微分方程的复振荡理论
On the multiple values and uniqueness of meromorphic functions on annuli
On the uniqueness of meromorphic functions that share four values in one angular domain
Uniqueness theorems and normal families of entire functions and their derivatives
Some further results on weighted sharing three values and Brosch's theorem
Value sharing of meromorphic functions and their derivatives
On the uniqueness of an entire function sharing a small entire function with some linear differentia
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
微分方程的解和小函数的关系
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
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
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期刊信息
  • 《中国海洋大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:中国海洋大学
  • 主编：管华诗
  • 地址：青岛市松岭路238号
  • 邮编：266100
  • 邮箱：xbzrb@ouc.edu.cn
  • 电话：0532-82032256
  • 国际标准刊号：ISSN：1672-5174
  • 国内统一刊号：ISSN：37-1414/P
  • 邮发代号:24-31
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,德国数学文摘,美国剑桥科学文摘,英国动物学记录,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（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:11624