On the Growth of Solutions of a Class of Higher Order Linear Differential Equations with Meromorphic Coefficients 被引量：2

On the Growth of Solutions of a Class of Higher Order Linear Differential Equations with Meromorphic Coefficients

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摘要 In this paper, we investigate the growth of solutions of higher order linear differential equations with meromorphic coefficients. Under certain conditions, we obtain precise estimation of growth order and hyper-order of solutions of the equation.

作者 MAO Zhi-qiang LIU Hui-fang

机构地区 School of Mathematical Sciences School of Math and Computer Science Institute of Mathematics and Informatics

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第2期278-283,共6页 数学季刊（英文版）

关键词 linear differential equation meromorphic function growth order HYPER-ORDER 高阶线性微分方程纯系生长函数系数秩序估计

分类号 O175.1 [理学—基础数学] S965.232 [农业科学—水产养殖]

作者简介 MAO Zhi-qiang（1972-）, male, native of Fengcheng, Jiangxi, an associate professor of Jiangxi Science and Technology Normal University, Ph.D., engages in complex analysis;LIU Hui-fang（1973-）, female, native of Fengcheng, Jiangxi, an associate professor of Jiangxi Normal University, Ph.D., engages in complex analysis.

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参考文献1

1Zong Xuan CHEN,Kwang Ho SHON.On the Growth and Fixed Points of Solutions of Second Order Differential Equations with Meromorphic Coefficients[J].Acta Mathematica Sinica,English Series,2005,21(4):753-764. 被引量：17

二级参考文献17

1Hille, E.: Ordinary Differential Equations in the Complex Domain, Wiley, New York, 1976.
2Frei, M.: Uber die subnormalen losungen der differentialgleichung w〃+ e^-zw' + (konst.)w = 0. Comment.Math. Helv., 36, 1-8 (1962).
3Ozawa, M.: On a solution of w〃+ e^-zw' + (az + b)w = 0. Kodai Math. J., 3, 295-309 (1980).
4Gundersen, G.: On the question of whether f〃 + e^-zf' + B(z)f = 0 can admit a solution f absolutely unequal to 0 of finiteorder. Proc, R.S.E., 102(A), 9017 (1986).
5Langley, J. K.: On complex oscillation and a problem of Ozawa. Kodai Math. J., 9, 430-439 (1986).
6Amemiya, I., Ozawa, M.: Non-existence of finite order solutions of w" + e^-zw' + Q(z)2 = 0. Hokkaido Math. J., 10, 1-17 (1981).
7Chen, Z. X.: The growth of solutions of f〃+ e^-zf'+ Q(z)f = 0 where the order (Q) = 1. Science in China (Series A), 45(3), 290-300 (2002).
8Chen, Z. X.: The fixed points and hyper order of solutions of second order complex differential equations. Acta Math. Scierztia, (in Chinese), 20(3), 425-432 (2000).
9Gundersen, G.: Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates. J. London Math. Soc., 37(2), 88-104 (1988).
10Chen, Z. X., Yang, C. C.: Some oscillation theorems for linear differetial equations with meromorphic coefficients. Southeast Asian Bull. of Math., 23, 409- 417 (1999).

共引文献16

1Benharrat BELADI,Abdallah El FARISSI.OSCILLATION THEORY TO SOME COMPLEX LINEAR LARGE DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,2009,25(1):1-7.
2毛志强,陈宗煊.关于某类二阶亚纯系数微分方程解的增长性[J].华南师范大学学报（自然科学版）,2007,39(1):15-19. 被引量：1
3Benharrat BELAIDI.ON THE MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS[J].Journal of Systems Science & Complexity,2007,20(1):41-46.
4刘慧芳.一类亚纯系数微分方程解的增长性[J].纯粹数学与应用数学,2008,24(1):25-29. 被引量：4
5徐洪焱,沈霞,曹廷彬.亚纯函数系数微分方程的解和小函数的关系[J].数学的实践与认识,2010,40(15):226-232. 被引量：2
6Bao Qin CHEN Zong Xuan CHEN Sheng LI.Properties on Solutions of Some q-Difference Equations[J].Acta Mathematica Sinica,English Series,2010,26(10):1877-1886. 被引量：3
7Zong Xuan CHEN,Kwang Ho SHON.Numbers of Subnormal Solutions for Higher Order Periodic Differential Equations[J].Acta Mathematica Sinica,English Series,2011,27(9):1753-1768. 被引量：1
8金瑾,石宁生.一类微分方程的解及其解的导数与不动点的关系[J].数学的实践与认识,2011,41(22):185-190. 被引量：22
9周凤麟,徐洪焱.高阶亚纯函数系数微分方程的解及其导数的不动点[J].数学的实践与认识,2012,24(6):199-205.
10吴昭君,陈裕先.一类二阶微分方程解的不动点[J].数学物理学报（A辑）,2012,32(4):779-784. 被引量：1

同被引文献5

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
2Zong Xuan CHEN,Kwang Ho SHON.On the Growth and Fixed Points of Solutions of Second Order Differential Equations with Meromorphic Coefficients[J].Acta Mathematica Sinica,English Series,2005,21(4):753-764. 被引量：17
3Ye Zhou LI,Jun WANG.Oscillation of Solutions of Linear Differential Equations[J].Acta Mathematica Sinica,English Series,2008,24(1):167-176. 被引量：8
4CHEN Yu-xian,WU Zhao-jun.On the Location of Zeros of Higher Order Differential Equation[J].Chinese Quarterly Journal of Mathematics,2010,25(1):92-97. 被引量：2
5WU PengCheng,ZHU Jun.On the growth of solutions to the complex differential equation f''+Af'+Bf=0[J].Science China Mathematics,2011,54(5):939-947. 被引量：23

引证文献2

1FENG Bin LIU Hui-fang.On the Growth and the Fixed Points of Solutions of Second Order Non-homogeneous Differential Equations[J].Chinese Quarterly Journal of Mathematics,2013,28(3):437-446. 被引量：1
2熊辉,刘慧芳.On the Growth of Solutions of a Class of Higher Order Linear Differential Equations[J].Chinese Quarterly Journal of Mathematics,2016,31(4):369-378.

二级引证文献1

1陈玉.一类二阶非齐次微分方程解的增长性与不动点(英文)[J].应用数学,2016,29(1):117-124. 被引量：1

1孔荫莹,孙道椿.ON GLOBAL MEROMORPHIC SOLUTIONS OF SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS[J].Acta Mathematica Scientia,2013,33(2):423-429. 被引量：1
2张晓梅,孙道椿.EXISTENCE OF MEROMORPHIC SOLUTIONS OF SOME HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,2013,33(2):600-608.
3熊辉,刘慧芳.On the Growth of Solutions of a Class of Higher Order Linear Differential Equations[J].Chinese Quarterly Journal of Mathematics,2016,31(4):369-378.
4王珺,孙宗煊.ZEROS OF SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,2001,17(1):71-81.
5Tingbin CAO Hongxun YI.ON THE COMPLEX OSCILLATION OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS[J].Journal of Systems Science & Complexity,2007,20(1):135-148. 被引量：1
6CaoTingbin,ChenZongxuan,ZhengXiumin,TuJin.ON THE ITERATED ORDER OF MEROMORPHIC SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,2005,21(2):111-122. 被引量：3
7Jianren LONG 1,2 1.School of Mathematics and Computer Science,Guizhou Normal University,Guizhou 550001,P.R.China,2.Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China.On Complex Oscillation Theory of Solutions of Some Higher Order Linear Differential Equations[J].Journal of Mathematical Research with Applications,2012,32(4):423-430. 被引量：1
8Zong Xuan CHEN,Kwang Ho SHON.On the Growth and Fixed Points of Solutions of Second Order Differential Equations with Meromorphic Coefficients[J].Acta Mathematica Sinica,English Series,2005,21(4):753-764. 被引量：17
9Shunzhou WU,Xiumin ZHENG.Growth of Meromorphic Solutions of Complex Linear Differential-Difference Equations with Coefficients Having the Same Order[J].Journal of Mathematical Research with Applications,2014,34(6):683-695. 被引量：1
10肖丽鹂,陈宗煊.ON A PROBLEM IN COMPLEX OSCILLATION THEORY OF PERIODIC HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,2010,30(4):1291-1300.

Chinese Quarterly Journal of Mathematics

2009年第2期

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