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关于二阶线性周期微分方程的次正规解 被引量:5

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摘要 研究了一类二阶周期系数线性微分方程的次正规解的存在性和形式,以及估计了所有解的增长性,回答了Gundersen和Steinbart提出的一个问题.
作者 陈宗煊
出处 《中国科学(A辑)》 CSCD 北大核心 2007年第3期361-374,共14页 Science in China(Series A)
基金 广东省自然科学基金(批准号:06025059)资助项目
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参考文献15

  • 1杨乐.值分布轮及其新研究.北京:科学出版社,1982.
  • 2Hayman W. Meromorphic Function. Oxford: Clarendon Press, 1964.
  • 3Laine I. Nevanlinna Theory and Complex Differential Equations. Berlin: W de Gruyter, 1993.
  • 4Gundersen G, Steinbart M. Subnormal solutions of second order linear differential equations with periodic coefficients. Results in Math, 1994, 25:270-289.
  • 5Wittich H. Subnormale losungen der differentialgleichung w" + p(e^z)w' + q(e^z)w = 0. Nagoya Math J,1967, 30:29-37.
  • 6Chiang Y M, Gao S A. On a problem in complex oscillation theory of periodic second order linear differential equations and some related perturbation results. Ann Acad Sci Fenn Math, 2002, 27:273-290.
  • 7Urabe H, Yang C C. On factorization of entire functions satisfying differential equations. Kodai Math J,1991, 14:123-133.
  • 8Gundersen G. Finite order solutions of second order linear differential equations. Trails Amer Math Soc,1988, 305:415-429.
  • 9Gundersen G. Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates.J London Math Soc, 1988, 37:88-104.
  • 10Chen Z X. On the growth of solutions of a class of higher order diffential equations. Chin Ann of Math,2003, 24B(4): 501-508.

二级参考文献1

共引文献46

同被引文献25

  • 1陈宗煊.The growth of solutions of f"+e^(-z)f' + Q(z)f = 0 where the order (Q) = 1[J].Science China Mathematics,2002,45(3):290-300. 被引量:20
  • 2江良英,陈宗煊.某类高阶整函数系数微分方程解的增长性[J].江西师范大学学报(自然科学版),2005,29(1):12-14. 被引量:2
  • 3陈宗煊,孙光镐.一类二阶微分方程的解和小函数的关系[J].数学年刊(A辑),2006,27(4):431-442. 被引量:29
  • 4HAYMAN W K. Meromorphic functions [ M ]. Oxford: Clarendon Press, 1964.
  • 5LAINE I. Nevanlinna theory and complex differential equations[ M]. Berlin: W de Gmyter, 1993.
  • 6GUNDEREN G, STINBART M. Subnormal solutions of second order linear differential equations with periodic co- efficients[J]. Results in Math, 1994, 25:270-289.
  • 7CHEN Zongxuan. Zeros of meromorphic solutions of high- er order linear differential equations[ J]. Analysis, 1994, 14 : 425 - 438.
  • 8Wittich H. Subnormale lostmgen der differentialgleichtmg w^n+p(e^x)w' +q(e^x)w =0 [J]. Nagoya Math J,1967, 30 : 29 -37.
  • 9Huang Zhibo, Xia Xiaohua, Li Qian. Subnormal solutions of second order nonhomogeneous linear periodic differenti-al equations [ J ]. Commun Nonlinea Sci Numer Simulat, 2010,15(4) :881-885.
  • 10Chiang Y M, Gao Shian. On a problem in complex oscilla- tion theory of periodic second order linear differential e- quation and some related perturbation results [ J ]. Ann Acad Sci Fenn Math,2002,27(2) :273-290.

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