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二阶齐次微分方程解及其解的导数与小函数的关系
  • ISSN号：1001-9847
  • 期刊名称：应用数学
  • 时间：2015.4.15
  • 页码：360-367
  • 分类：O174.52[理学—数学;理学—基础数学] O175.12[理学—数学;理学—基础数学]
  • 作者机构：[1]江西师范大学数学与信息科学学院,江西南昌330022
  • 相关基金：国家自然科学基金（11301232,11171119）; 江西省自然科学基金（20132BAB211009）; 江西省教育厅青年科学基金（GJJ12207）资助项目
  • 相关项目：复域差分, 差分方程和微分方程的研究
作者： 占燕燕|肖丽鹏|
关键词： 整函数, 零点收敛指数, 微分多项式, 小函数, Entire function , Exponent of convergence of zero sequence , Differential poly-nomial , Small function
中文摘要：

文中研究二阶齐次微分方程的解以及解的一阶,二阶导数和线性微分多项式取小函数的精确估计.

英文摘要：

In this paper, we investigate the relation between solutions, their l th, 2th derivatives,linear differential polynomial of a class of homogeneous second order differential equa- tions with function of small growth.

同期刊论文项目
复域差分, 差分方程和微分方程的研究
期刊论文 126 著作 1
复函数空间中的微分方程与周期微分方程解的性质
期刊论文 5
同项目期刊论文
ON PROPERTIES OF FINITE-ORDER MEROMORPHIC SOLUTIONS OF A CERTAIN DIFFERENCE PAINLEVE I EQUATION
高阶齐次线性微分方程解的零点
有穷级整函数的差分多项式的性质
某类均差分的值分布
Uniqueness Theorems on Entire Functions and Their Difference Operators or Shifts
Uniqueness of difference operators of meromorphic functions
On the dependent property of solutions for general higher order periodic differential equation
~The function analytic in the exterior of a disc and its application to periodic complex oscillation
~On meromorphic solutions of Riccati and linear difference equations
~某些差分方程的值分布
~Complex oscillation of meromorphic solutions for the Pielou logistic ~ equation
~Fixed points of meromorphic functions and of their differences and shifts
~On solutions of Q-difference Riccati equations with rational coefficients
~复域差分与差分方程的研究
~非齐次线性微分方程解的增长性
~A note on entire functions and their differences
The properties of the meromorphic solutions of some difference equations
Zeros of some difference polynomials
On the value distribution of some difference polynomials
Growth and differenceproperties of meromorphic solutions ondifference equations
ON THE DIFFERENCE COUNTERPART OF BRUCK'S CONJECTURE
ON PROPERTIES OF MEROMORPHIC SOLUTIONS FOR COMPLEX DIFFERENCE EQUATION OF MALMQUIST TYPE
On properties of meromorphic solutions for difference equations concerning gamma function
Relations between Solutions of Differential Equations and Small Functions
ZEROS OF ENTIRE SOLUTIONS TO COMPLEX LINEAR DIFFERENCE EQUATIONS
微分方程f′′+A_1(z)e~(az~n)f′+A_0(z)e~(bz~n)f=F(z)的复振荡
Entire functions sharing sets of small functions with their difference operators or shifts
~Fixed points of meromorphic solutions for difference Riccati equation
ON PROPERTIES OF q-DIFFERENCE EQUATIONS
Periodic solutions of the Riccati differential equation with periodic coefficients
单位圆内某类具慢增长性解析系数高阶线性微分方程解的增长性
Growth of Meromorphic Solutions of Complex Linear
线性微分方程解的复振荡
Growth of solutions of linear differential equations with analytic coefficients of [p; q]-order in t
Relation between meromorphic solutions of a class of higher order linear differential equations and
高阶亚纯系数非齐次线性微分方程解的零点
一类亚纯函数系数线性微分方程亚纯解的增长性
线性微分方程亚纯解的零点和增长级的定量估计
周期微分方程的解生成的微分多项式与小函数的关系
On the Deficiencies of Some Differential-Difference Polynomials
On value distribution and uniqueness of meromorphic function with finite logarithmic order concernin
Growth of solutions of linear differential equations with meromorphic coefficients of [p; q]-order
Complex differential equations with solutions in the Hardy spaces
On entire solutions of certain type of differential-difference equations
Periodic solutions of the Riccati differentialequation with periodic coefficients
A note on value distribution of difference polynomials of meromorphic functions
On properties of meromorphic solutions of certain difference Painlevé III equations
Relationships between characteristic functions of Δ^n f and f
Shared values for differences and Borel exceptional values
Unicity of Meromorphic Functions Sharing Sets with
Zeros, Poles, and Fixed Points of Meromorphic Solutions of Difference Painlevé Equations
On the growth of solutions of certain higher-order linear differential equations
Difference Equations and Sharing Values
整函数与其差分算子的唯一性定理
On Value Distribution of Delta(n)f
FIXED POINTS OF MEROMORPDIC SOLUTIONS FOR DIFFERENCE RICCATI EQUATION
PROPERTIES OF MEROMORPHIC SOLUTIONS OF SOME CERTAIN DIFFERENCE EQUATIONS
Relationships between characteristic functions of Delta(n) f and f
On Properties of Meromorphic Solutions of Certain Difference Painleve III Equations
Zeros, Poles, and Fixed Points of Meromorphic Solutions of Difference Painleve Equations
复域差分和差分方程的研究
一类高阶周期线性微分方程的解和小函数的关系
与高阶导数分担多项式的整函数
某些差分方程的值分布
Existence and growth of meromorphic solutions of some nonlinear q-difference equations
Growth of solutions of linear differential equations with meromorphic coefficients of [p, q]-order
Growth of solutions of linear differential equations with entire coefficients
Some properties of solutions of complex-q-shift difference equations
Properties of Schwarzian difference equations
零级亚纯函数与多项式的复合函数的对数导数引理及其应用
On meromorphic solutions of some linear differential equations with entire coefficients being Fabry
Growth of solutions of some kinds of linear difference equations，
On the existence of meromorphic solutions of some nonlinear differential-
Nonexistence of a subnormal solution of certain second order periodic differential equations
Results on difference analogues of Valiron -Mohon'ko theorem
Some properties on complex functional difference equations
Value distribution and uniqueness on q-differences
Higher-order linear differential equations with solutions having a prescribed sequence of zeros and
Oscillation of arbitrary order derivatives of solutions to linear differential equations taking smal
The growth of solutions of higher order differential equations with coefficients having same order
Solutions of linear differential equations in the unit disc
一类高阶差分方程亚纯解的性质
Fixed Points of Meromorphic Solutions for Some Difference Equations
q-平移差分多项式和推广了的q-平移差分方程亚纯解的一些性质
具有分段常数变量的捕食-被捕食模型的分支分析
亚纯系数的非齐次线性微分方程的振荡解
一类二阶复域微分方程的解与小函数的关系
亚纯函数差分多项式的值分布
~On growth of meromorphic solutions for linear difference equations
非齐次线性微分方程解的增长性
二阶线性周期微分方程的解和小函数的关系
~关于高阶线性微分方程解的增长性
一类高阶微分方程解的增长性
具有缺项级数系数的高阶齐次线性微分方程解的性质
关于高阶线性微分方程解的增长性
角形域中广义Dirichlet级数的准确零级和无限级
一类高阶线性微分方程解的超级估计
Order of Dirichlet Series in the Whole Plane and Remainder Estimation
具有干扰和分段常数变量模型的稳定性及分支
C上和△内某类高阶线性微分方程解的增长性
Dirichlet级数在全平面上的广义逼近和增长
单位圆内解析函数的一个性质
单位圆内亚纯函数与解析函数的级与型
一类2阶微分方程的解和小函数的关系
单位圆内非齐次线性微分方程的振荡解
某类二阶线性微分方程的解的增长性
单位圆内方程f″＋A（z）f=0的解的零点
线性微分方程解的复振荡
周期微分方程的解生成的微分多项式与小函数的关系
Solutions of linear differential equations in the unit disc
某类二阶线性微分方程的解的增长性
有限级超越整函数的差分多项式的值分布
广义Laplace-Stieltjes变换的增长性
期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
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  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
  • 获奖情况:
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  • 被引量:4139