Some Results on the Solutions of Higher-Order Linear Differential Equations

被引：0
作者：
Nan Li
Xiaoguang Qi
Lianzhong Yang
机构：
[1] University of Jinan,School of Mathematical Sciences
[2] Shandong University,School of Mathematics
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2019年 / 42卷
关键词：
Meromorphic functions; Differential equation; 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 investigate the solutions of certain types of higher-order linear differential equations. By introducing a new concept of n-subnormal solution, we study the existence, growth, and numbers of solutions of this type, and we also estimate the growth of all other solutions.
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页码：2771 / 2794
页数：23
相关论文
共 15 条
  • [1] Bank S(1972)General theorem concerning the growth of solutions of first-order algebraic differential equations Compositio Math. 25 61-70
  • [2] Chen ZX(2003)On the hyper order of solutions of higher order differential equations Chin Ann. Math. 24B 501-508
  • [3] Chen ZX(2007)On subnormal solutions of second order linear periodic differential equations Sci. China Ser. A. 50 786-800
  • [4] Shon KH(2010)Subnormal solutions of differential equations with periodic coefficients Acta Math. Sci. 30B 75-88
  • [5] Chen ZX(2011)Numbers of subnormal solutions for higher order periodic differential equations Acta Math. Sin. (Engl. Ser.) 27 1753-1768
  • [6] Shon KH(1988)Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates J. London Math. Soc. 37 88-104
  • [7] Chen Z X(1988)Finite order solutions of second order linear differential equations Trans. Amer. Math. Soc. 305 415-429
  • [8] Shon K H(1994)Subnormal solutions of second order linear differential equation with periodic coefficients Results Math. 25 270-289
  • [9] Gundersen G(2010)Oscillation of higher-order linear differential equations with entire coefficients Electron. J. Diff. Eqs. 2010 1-11
  • [10] Gundersen G(1967)Subnormale Lösungen der Differentialgleichung Nagoya Math. J. 30 29-37
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