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K阶整系数线性微分方程解的超级和零点(英文) 被引量：4

THE HYPER ORDER AND ZEROS OF SOLUTIONS OF K-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS
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摘要 研究了几类K阶整系数线性微分方程解的超级、零点收敛指数和零点超收敛指数,得到一些精确的结果. The hyper order, the exponent of convergence and the hyper-exponent of convergence of zeros of solutions for some types of K-order linear differential equations with entire coefficients are discussed. Some sharp results are obtained.
作者 刘名生
机构地区 华南师范大学数学系
出处 《华南师范大学学报（自然科学版）》 CAS 2003年第3期29-37,共9页 Journal of South China Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(19971029)
关键词 K阶整系数线性微分方程 解 超级 零点 收敛指数 超收敛指数 linear differential equation hyper order zero exponent of convergence
分类号 O175.1 [理学—基础数学] O241.81 [理学—计算数学]
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二级参考文献10

  • 1Boas RP Jr.Entire functions[]..1954
  • 2Bank S,Laine I.On the oscillation theory of f ″+A f = 0 where A is entire[].Transactions of the American Mathematical Society.1982
  • 3Yi HX,Yang CC.The Uniqueness Theory of Meromorphic Functions[]..1995
  • 4G. Frank,S. Hellerstein.On the meromorphic solutions of non-homogeneous linear differential equations with polynomial coefficients[].Proceedings of the London Mathematical Society.1986
  • 5Gundersen G.Finite Order Solutions of Second Order Linear Differential Equations[].Transactions of the American Mathematical Society.1988
  • 6KWON Ki-ho.Nonexistence of finite order solutions of certain second order linear differential equations[].Kodai Mathematical Journal.1996
  • 7Kinnunen L.Linear differential equations with solutions of finite iterated order[].Southeast Asian Bulletin of Mathematics.1998
  • 8Y.Z. He,X.Z. Xiao.Algebroid Functions and Ordinary Differential Equations[]..1988
  • 9Markushevich,A. I. Theory of Functions of a Complex Variable, Vol. II . 1965
  • 10Langley J. K.Some oscillation theorems for higher order linear differential equations with entire coefficients of small growth[].Res Math.1990

共引文献23

同被引文献16

  • 1刘名生.高阶线性微分方程解的不动点与零点[J].华南师范大学学报（自然科学版）,2004,36(4):1-6. 被引量：7
  • 2BANK S, LAINE I. On the oscillation theory of f""+Af=0 where A is entire[J]. Trans Amer Math Soc, 1982,273:356-363.
  • 3GAO Shi-an. On the complex oscillation of solutions of nonhomogeneous linear differential equations with polynomial coefficients[J]. Comment Math Univ Sancti Pauli, 1989,38:11-20.
  • 4CHEN Zong-xuan, YANG Chung-chun. Quantitative estimations on the zeros and growths of entire solutions of linear differential equations[J]. Complex Variables, 2000,42:119-133.
  • 5LAINE I. A note on the complex oscillation theory of non-homogenous linear differential equations[J]. Results in Math, 1990,18:282-285.
  • 6LAINE I. Nevanlinna Theory and Complex Differential Equations[M]. Berlin: Walter de Gruyter, 1993.
  • 7Gunderson G.Finite order solutions of second order linear differential equations[J].Trans.Amer.Math.Soc.,1988,37(2):415～429.
  • 8Hellestein S, Mills J and Rossi J.On the growth of solution of f″+gf′+hf=0[J].Trans.Amer.Math.Soc.,1991,33(2):693～706.
  • 9Ki-Ho Kwon.Nonexistence of finite order solutions of certain secnd linear differential equations[J].Kodai Math.J.,1996,19(3):378～387.
  • 10Ki-Ho Kwon and Jeong-Heon Kim.On the growth of entire functions with aplications to linear differential equations[J].Kangweon-Kyungki Math.Jour.,1998,6(1):127～135.

引证文献4

二级引证文献8

华南师范大学学报（自然科学版）
2003年 第3期

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