位置：成果数据库 > 期刊 > 期刊详情页
潘勒韦III型差分方程的亚纯解
  • ISSN号：0583-1431
  • 期刊名称：数学学报
  • 时间：2014
  • 页码：181-188
  • 分类：O174.5[理学—数学;理学—基础数学]
  • 作者机构：[1]北京航空航天大学数学与系统科学学院,北京100191, [2]山东大学数学院,济南250100
  • 相关基金：国家自然科学基金资助项目（11201014,11171013,11126036）;北航基本业务费302854资助
  • 相关项目：Painlevé 差分方程的研究
作者： Zhang Jilong|Yang Lianzhong|
关键词： 亚纯解, 差分, 有限级, meromorphic solution, difference, finite order
中文摘要：

研究了潘勒韦III型差分方程的亚纯解的Borel例外值，零点极点和不动点的收敛指数．另外还给出了一些证明结论条件精确的例子．

英文摘要：

We investigate the properties of meromorphic solutions of Painlev~ III dif- ference equations. In particular, we study the existence of Borel exceptional value, the exponent of convergence of zeros, poles and fixed points of a transcendental meromor- phic solution. Several sharp examples of meromorphic solutions of some Painleve III difference equations are given.

同期刊论文项目
复域中的差分值分布
期刊论文 1
覆盖曲面理论、随机级数及算子不等式的若干研究
期刊论文 53 会议论文 1 著作 1
Painlevé 差分方程的研究
期刊论文 11
同项目期刊论文
ZEROS AND FIXED POINTS OF DIFFERENCE
GROWTH OF SOLUTIONS TO SECOND-ORDER COMPLEXDIFFERENTIAL EQUATIONS
Value distribution of difference and q-difference polynomials
The zero distributionand uniqueness of difference-differential polynomials
关于代数体函数的唯一性
On Entire Solutions of Some Differential-Difference
Borel's directions and shared values
关于广义Furuta不等式的扩展型的一些研究
Growth of solutions of some nonlinear second order equations
RESULTS ON A QUESTION OF ZHANG AND YANG
Erratum to: A note on the Bruck conjecture
NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS SHARING A HOLOMORPHIC FUNCTION AND THE CONVERSE OF THE BLOC
Entire functions sharing one or two finite values CM with their shifts or difference operators
Normal families of meromorphic functions sharing values or functions
The fundamental theorems of algebroid functions on annuli
Value Distribution of Certain Type of Difference Polynomials
Furuta Type Inequalities Dealing with Pedersen-Takesaki Type Operator Equations
Entire Solutions Of Differential-Difference Equation And Fermat Type q-DifferenceDifferential Equati
全平面内随机 Dirichlet 级数的几个定理
涉及重值的代数体函数的唯一性
CHARACTERIZATIONS OF OPERATOR ORDER FOR k STRICTLY POSITIVE OPERATORS
The Second Main Theorem Concerning Small AlgebroidFunctions
The scaling window of the model d-k-CSP
The Normality of Algebroid Multifunctions and Their Coefficient Functions
On the Phase Transitions of (k, q)–SAT
On growth of meromorphic solutions of nonlinear difference equations and two conjectures of C.C. Yan
Growth of Meromorphic Solutions for Complex DifferenceEquations of Malmquist Type
The Normality Criteria for Families of Entire Algebroid Functions
THE HYPER ORDER AND FIXED POINTS OFSOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS
涉及CM分担值的代数体函数的唯一性
Least squares solutions of the matrix equation AXB+CYD=E with the least norm for symmetric arrowhead
Some results related to complex linear and nonlinear difference equations
On Radial Distribution of Julia Sets of Solutions to Certain Second Order Complex Linear Differentia
多类复高阶q-平移差分方程组的解
复线性微分方程解的导数的Julia 集的径向分布
New upper bounds for the MAX CUT problem
A new upper bound for random (2+p)SAT by flipping two variables
On the constraint length of random k-CSP
某类非线性微差分方程的整函数解
On the multiple values and uniqueness of algebraic functions on annuli
Entire functions that share values or small functions with their derivatives
The Second Main Theorem Concerning Small Algebroid Functions
Meromorphic solutions of linear difference equations
关于亚纯函数唯一性的一些结果
Some Further Results on Uniqueness of Entire Functions and
复域复合函数方程组解的极点与增长级
关于复差分方程组的允许解的形式
关于单叶限制值的正规定理
复高阶微分方程的解
Meromorphic solutions of Painlevé III difference equations with Borel exceptional values
Entire solutions of q-di erence equations and value distribution of q-di erence polynomials
Properties of meromorphic solutions of Painlevé III difference equations
Differential Polynomials Sharing one value
Meromorphic Functions Sharing Pairs of Small Functions
On growth of meromorphic solutions of nonlinear difference equations and two conjectures of C. C. Ya
Growth of meromorphic solutions for complex difference equations of Malmquist type
Zeros and shared one value of q-shift difference polynomials
Borel exceptional values of meromorphic solutions of Painlevé III difference equations
Meromorphic solutions of difference Painlevé IV equations
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