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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
  • ISSN号：1000-5862
  • 期刊名称：江西师范大学学报(自然科学版)
  • 时间：2012.11.15
  • 页码：579-583
  • 分类：O174.52[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（11201195,11171119）; 江西省自然科学基金（20122BAB201012）; 江西省教育厅科技（GJJ12179）资助项目
  • 相关项目：函数的唯一性问题和非齐次线性微分方程解的性质
作者： 李延玲|刘慧芳|冯斌|
关键词： 微分方程, 整函数, 增长级, 超级, differential equation, entire function, order of growth, hyper-order
中文摘要：

研究微分方程f′′＋A_1（z）e~（az~n）f′＋A_0（z）e~（bz~n）f=F（z）的复振荡问题,其中Aj（z）（≠0）（j=0,1）是多项式,F（z）（≠0）是整函数,且deg（A0）A

英文摘要：

The complex oscillation problem concerning the differential equation f′′＋A1（z）eazn f′＋A0（z）ebzn f=F（z） has been investigated,where Aj（z）（≠0）（j=0,1）are nonzero polynomials satisfying deg（A0）Adeg（A1）n-1（n≥2）,f（Z）（≠0） is an entire function of σ（F） n.It is proved that every nonzero solution f（z）of the above equation satisfies λ（f）=λ（f）=σ（f）=∞,λ2（f）=λ2（f）=σ2（f）=n.

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
函数的唯一性问题和非齐次线性微分方程解的性质
期刊论文 31
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
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~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
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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
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On the Deficiencies of Some Differential-Difference Polynomials
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Growth of solutions of linear differential equations with meromorphic coefficients of [p; q]-order
Complex differential equations with solutions in the Hardy spaces
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Periodic solutions of the Riccati differentialequation with periodic coefficients
A note on value distribution of difference polynomials of meromorphic functions
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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
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整函数与其差分算子的唯一性定理
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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
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Zeros, Poles, and Fixed Points of Meromorphic Solutions of Difference Painleve Equations
复域差分和差分方程的研究
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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
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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
二阶齐次微分方程解及其解的导数与小函数的关系
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
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
角域内分担小函数的亚纯函数的唯一性定理
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一类二阶非齐次微分方程解的增长性与不动点（英文）
整函数与其差分算子的唯一性定理
具有公共小函数的代数体函数的唯一性
权分担一个值的亚纯函数的唯一性
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给定Borel方向的代数体函数
一类高阶复微分方程解的增长性
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积分第一中值定理的推广
一类二阶非齐次微分方程解的增长性与不动点
亚纯函数的非线性微分多项式分担多项式的唯一性
高阶线性微分方程亚纯解的增长性
基于微分中值定理的积分中值定理
积分型中值定理的推广及统一表示
一阶微分方程解的唯一性注记
期刊信息
  • 《江西师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:江西师范大学
  • 主办单位:江西师范大学
  • 主编：
  • 地址：南昌市紫阳大道99号
  • 邮编：330022
  • 邮箱：lk8506184@126.com
  • 电话：0791-88506814
  • 国际标准刊号：ISSN：1000-5862
  • 国内统一刊号：ISSN：36-1092/N
  • 邮发代号:44-56
  • 获奖情况:
  • 2009年中国高等学校自然科学学报研究会颁发“全国...,2009年被评为：第四届华东地区优秀期刊奖”,2008年教育部科技司授予“第2届中国高校优秀科技...,2008年江西省新闻出版局授予“第3届江西省优秀期...,2004年教育部科技司授予“全国高校优秀科技期刊二...
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  • 被引量:5205