JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (6): 23-29.doi: 10.6040/j.issn.1671-9352.0.2017.575

Previous Articles     Next Articles

Further results on the growth of solutions of linear complex differential equations

  

  1. 1. School of Mathematical Sciences, Guizhou Normal University, Guiyang 550001, Guizhou, China;
    2. School of Mathematics and Statistics, Guizhou University, Guiyang 550025, Guizhou, China;
    3. School of Computer Sciences and School of Sciences, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • Received:2017-11-08 Online:2018-06-20 Published:2018-06-13

PDF (PC)

429

Abstract: The growth of solutions of complex linear differential equations is discussed by using Nevanlinna theory. Some results concerning a problem of Gundersen are obtained in this paper, which are improvement of predecessors.

Key words: complex linear differential equations, polynomials, infinite order

CLC Number: 

  • O174.5
[1] HAYMAN W. Meromorphic functions[M]. Oxford: Clarendon Press, 1964.
[2] 杨乐. 值分布论及其新研究[M]. 北京:科学出版社, 1982. YANG Le. Value distribution theory and new studies[M]. Beijing: Science Press, 1982.
[3] GUNDERSEN G G. Research questions on meromorphic functions and complex differential equations[J]. Computational Methods and Function Theory, 2017, 17(1):195-209.
[4] LONG Jianren, SHI Lei, WU Xiubi, et al. On a question of Gundersen concerning the growth of solutions of linear differential equations[J]. Annales Academiae Scientiarum Fennicae Mathematica, 2018, 43:337-348.
[5] GUNDERSEN G G. Estimates for the logarithmic derivative of a meromorphic function[J]. Journal of the London Mathematic Society, 1988, 37:88-104.
[6] HILLE E. Lectures on ordinary differential equations[M]. Oxford: Technology Press of the Massachusetts, 1969.
[7] LANGLEY J. On complex oscillation and a problem of Ozawa[J]. Kodai Math, 1986, 9:430-439.
[8] BANK S B, LAINE I, LANGLEY J. On the frequency of zeros of solutions of second order linear differential equations[J]. Results Math, 1986, 10:8-24.
[1] XIAO Wei-ming, WANG Gui-jun. Design and approximation of SISO three layers feedforward neural network based on Bernstein polynomials [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(9): 55-61.
[2] ZHAI Xue-bo, HU Xiu-yan. An important application and estimation of Levy mean [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(04): 24-26.
[3] WANG Xian, ZHOU Jian-yang, MA Wen-chao. Dynamical Grbner bases for the polynomial ring with countably infinite variables [J]. J4, 2013, 48(6): 38-41.
[4] XU Jun-feng and ZHANG Zhan-liang . Derivatives of meromorphic functions concerning fix-points and polynomials [J]. J4, 2007, 42(5): 1-04 .
[5] LI Xiao-lingsup> and HAN Qi . On a result of R.Bruck [J]. J4, 2007, 42(4): 84-90 .
[6] WANG Xin-min,SUN Xia . A practical method for the least common multiple of polynomials [J]. J4, 2007, 42(10): 76-79 .
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright 2018 © Editorial office of JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
Supported by Beijing Magtech Co.Ltd