Numbers of subnormal solutions for higher order periodic differential equations

被引：0
作者：
Zong Xuan Chen
Kwang Ho Shon
机构：
[1] South China Normal University,School of Mathematical Sciences
[2] College of Natural Sciences Pusan National University,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2011年 / 27卷
关键词：
Periodic differential equation; subnormal solution; hyper-order; 30D35; 34M10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we estimate the number of subnormal solutions for higher order linear periodic differential equations, and estimate the growth of subnormal solutions and all other solutions. We also give a representation of subnormal solutions of a class of higher order linear periodic differential equations.
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页码：1753 / 1768
页数：15
相关论文
共 18 条
  • [1] Gundersen G.(1994)Subnormal solutions of second order linear differential equations with periodic coefficients Results in Math. 25 270-289
  • [2] Steinbart M.(2002)On a problem in complex oscillation theory of periodic second order linear differential equations and some related perturbation results Ann. Acad. Sci. Fenn. Math. 27 273-290
  • [3] Ching Y. M.(1967)Subnormale Lösungen der Differentialgleichung Nagoya Math. J. 30 29-37
  • [4] Gao S. A.(2005)″ + Acta Mathematica Sinica, English Series 21 753-764
  • [5] Wittich H.(1988)(e J. London Math. Soc. 37 88-104
  • [6] Chen Z. X.(1988)) Trans. Amer. Math. Soc. 305 415-429
  • [7] Shon K. H.(2007)′ + Sci. China Ser. A 50 786-800
  • [8] Gundersen G.(1999)(e Kodai Math. J. 22 273-285
  • [9] Gundersen G.(1961)) Comment. Math. Helv. 35 201-222
  • [10] Chen Z. X.(1961) = 0 Ann. Acad. Sci. Fenn. Ser. A I Math. 397 1-19
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