SOLUTIONS TO LINEAR DIFFERENTIAL EQUATIONS WITH SOME COEFFICIENT BEING LACUNARY SERIES OF [p, q]-ORDER IN THE COMPLEX PLANE

SOLUTIONS TO LINEAR DIFFERENTIAL EQUATIONS WITH SOME COEFFICIENT BEING LACUNARY SERIES OF [p, q]-ORDER IN THE COMPLEX PLANE

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摘要 In this paper, we investigate the growth and value distribution of meromorphic solutions to higher order linear differential equations with some dominating coefficient being Lacunary series and the results of this paper improve and extend the previous results of J. Tu, 2013. In this paper, we investigate the growth and value distribution of meromorphic solutions to higher order linear differential equations with some dominating coefficient being Lacunary series and the results of this paper improve and extend the previous results of J. Tu, 2013.

作者 Meilong Zhan Xiumin Zheng

机构地区 Institute of Math. and Information Science

出处《Annals of Differential Equations》 2014年第3期364-372,共9页 微分方程年刊（英文版）

基金 Supported by the National Natural Science Foundation of China(Grant No.11301233) the Natural Science Foundation of Jiangxi Province(Grant No.20132BAB211002) the Youth Science Foundation of Education Bureau of Jiangxi Province(Grant No.GJJ14271)

关键词 linear differential equation meromorphic solution Lacunary series linear differential equation meromorphic solution Lacunary series

分类号 O175 [理学—基础数学]

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1TU Jin,LIU Jie.Growth of Solutions of a Differential Equations with Class of Higher Order Linear Coefficients Being Gap Series[J].Journal of Mathematical Research and Exposition,2009,29(3):563-567. 被引量：3

二级参考文献2

1CHEN Zong Xuan Department of Mathematics. Jiangxi Normal University. Nanchang 330027. P. R. China.On the Hyper-Order of Solutions of Some Second-Order Linear Differential Equations[J].Acta Mathematica Sinica,English Series,2002,18(1):79-88. 被引量：24
2CHEN ZONGXUAN Department of Mathematics, Jiangxi Normai University, Nanchang 330027, China. Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China..ON THE HYPER ORDER OF SOLUTIONS OF HIGHER ORDER DIFFERENTIAL EQUATIONS[J].Chinese Annals of Mathematics,Series B,2003,24(4):501-508. 被引量：34

共引文献2

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Annals of Differential Equations

2014年第3期

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SOLUTIONS TO LINEAR DIFFERENTIAL EQUATIONS WITH SOME COEFFICIENT BEING LACUNARY SERIES OF [p, q]-ORDER IN THE COMPLEX PLANE

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