ON THE GROWTH OF SOLUTIONS TO HIGHER ORDER DIFFERENTIAL EQUATION 被引量：1

ON THE GROWTH OF SOLUTIONS TO HIGHER ORDER DIFFERENTIAL EQUATION

导出

摘要 In this paper, we consider a higher order differential equation and obtain a precise estimate of the order of growth and the hyper-order of solutions to the equation. In this paper, we consider a higher order differential equation and obtain a precise estimate of the order of growth and the hyper-order of solutions to the equation.

作者 Juan Gong, Zongxuan Chen (School of Mathematical Sciences, South China Normal University, Guangzhou 510631) Xiumin Zheng (Institute of Math. and Information Science, Jiangxi Normal University, Nanchang 330022)

出处《Annals of Differential Equations》 2012年第2期170-179,共10页 微分方程年刊（英文版）

基金 supported by the Natural Science Foundation of Jiangxi Province(No.20114BAB211003)

关键词 differential equation entire function order of growth HYPER-ORDER differential equation entire function order of growth hyper-order

分类号 O175 [理学—基础数学]

引文网络
相关文献

参考文献7

1陈宗煊,孙光镐.ON THE GROWTH OF SOLUTIONS OF A CLASS OF HIGHER ORDER DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,2004,24(1):52-60. 被引量：28
2YANG Le.Value Distribution Theory and New Research[]..1982
3Yi HX,Yang CC.The Uniqueness Theory of Meromorphic Functions[]..1995
4Gundersen G.Finite Order Solutions of Second Order Linear Differential Equations[].Transactions of the American Mathematical Society.1988
5He Yuzan,Xiao Xiuzhi.Algebroid functions and ordinary differential equations[]..1988
6Valiron G.Lectures on the General Theory of Integral Functions[]..1949
7Zongxuan Chen.The growth of solutions of the differential equation f′′ + e zf′ + Q (z)f = 0[].Science in China.2001

二级参考文献16

1Hayman W. Meromorphic Function. Oxford: Clarendon Press, 1964.
2Yang Lo. Value Distribution Theory and New Research. Beijing: Science Press, 1982(in Chinese).
3Yi Hongxun, Yang Chungchun. The Uniqueness Theory of Meromorphic Functions. Beijing: Science Press, 1995 (in Chinese).
4Hille E. Ordinary Differential Equations in the Complex Domain. New York: Wiley, 1976.
5Frei M. Uber die subnormalen losungen der differentialgleichung w″ + e^-Zw′ + (konst.)w = 0. Comment Math Helv, 1962, 36:1-8.
6Ozawa M. On a solution of w″ + e^-Zw′ + (az + b)w = 0. Kodai Math J, 1980, 3: 295-309.
7Gundersen G. On the question of whether f″+ e^-Zf′ + B(z)f = 0 can admit a solution f≠ 0 of finiteorder. Proc R S E, 1986, 102A: 9-17.
8Langley J K. On complex oscillation and a problem of Ozawa. Kodai Math J, 1986, 9:430-439.
9Amemiya I, Ozawa M. Non-existence of finite order solutions of w″+ e^-Zw′+ Q(z)w = 0. Hokkaido Math J, 1981, 10:1-17.
10Chen Zongxuan. The growth of solutions of the differential equation f″ + e^-Zf′ + Q(z)f = 0. Science in China (Series A), 2001, 31:775-784 (in Chinese).

共引文献27

1刘名生,梁建军.一类高阶齐次线性微分方程亚纯解的超级[J].华南师范大学学报（自然科学版）,2006,38(2):1-5.
2陈裕先,刘慧芳.某类高阶线性微分方程解的增长性[J].南昌大学学报（理科版）,2006,30(3):219-221. 被引量：1
3王金莲,刘慧芳.一类高阶线性微分方程解的增长性[J].南昌大学学报（理科版）,2006,30(6):527-530. 被引量：1
4涂金,陈宗煊.一类高阶微分方程解的增长性[J].数学物理学报（A辑）,2008,28(4):670-678. 被引量：11
5陈玉.某类高阶整函数系数微分方程解的增长性[J].南昌大学学报（理科版）,2009,33(1):27-29. 被引量：2
6金瑾.一类高阶线性微分方程解的复振荡[J].毕节学院学报（综合版）,2011,29(4):20-26.
7金瑾.一类高阶线性微分方程解的复振荡性质[J].曲靖师范学院学报,2011,30(3):11-16.
8金瑾.一类高阶齐次线性微分方程解的复振荡[J].山西大同大学学报（自然科学版）,2011,27(3):1-5.
9陈美茹,陈宗煊.具有缺项级数系数的高阶齐次线性微分方程解的性质[J].数学物理学报（A辑）,2011,31(6):1697-1707.
10彭锋,陈锦丽,陈宗煊.一类高阶线性微分方程解的增长性[J].高校应用数学学报（A辑）,2012,27(3):366-374.

同被引文献3

1Ye 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
2Jianren 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
3Chen Zongxuan,Gao Shian Department of Mathematics, Jiangxi Normal University. Nanchang 330027, China Department of Mathematics, South China Normal University, Guangzhou 510631. China.Entire Solutions of Differential Equations with Finite Order Transcendental Entire Coefficients[J].Acta Mathematica Sinica,English Series,1997,13(4):453-464. 被引量：5

引证文献1

1周鉴,龙见仁.高阶非齐次线性微分方程解的增长级[J].中北大学学报（自然科学版）,2017,38(5):544-548.

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
2李叶舟,冯绍继.ON HYPER-ORDER OF MEROMORPHIC SOLUTIONS OF FIRST-ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,2001,21(3):383-390.
3LIYEZHOU,CHENZONGXUAN.ON THE HYPER-ORDER OF MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS[J].Applied Mathematics(A Journal of Chinese Universities),1998,13(4):403-408. 被引量：4
4江良英,陈宗煊.ESTIMATES FOR THE HYPER-ORDER OF SOLUTIONS OF CERTAIN LINEAR DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,2008,28(2):393-400. 被引量：2
5任耀峰.On a Version of Rosenthal’s Inequality for Locally Square Integrable Martingales[J].Journal of Mathematical Research and Exposition,2008,28(4):1013-1016.
6陈宗煊,孙光镐.ON THE GROWTH OF SOLUTIONS OF A CLASS OF HIGHER ORDER DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,2004,24(1):52-60. 被引量：28
7Tu Jin Zheng Xiumin (Institute of Math.and Informations,Jiangxi Normal University,Nanchang 330022) Huang Wenping (Nanchang Military Academy,Nanchang 330103).GROWTH OF SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH FINITE ORDER ENTIRE COEFFICIENTS[J].Annals of Differential Equations,2008,24(1):46-51.
8张月阳,高宗升,张继龙.ON GROWTH OF MEROMORPHIC SOLUTIONS OF NONLINEAR DIFFERENCE EQUATIONS AND TWO CONJECTURES OF C.C. YANG[J].Acta Mathematica Scientia,2016,36(1):195-202.
9ChenZongxuan.GROWTH OF SOLUTIONS OF THREE ORDER DIFFERENTIAL EQUATIONS[J].Applied Mathematics(A Journal of Chinese Universities),2005,20(1):35-44.
10陈宗煊.THE ZERO AND ORDER OF SOME SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS WITH TRANSCENDENTAL MEROMORPHIC COEFFICIENTS[J].Applied Mathematics(A Journal of Chinese Universities),1994,9(4):365-374.

Annals of Differential Equations

2012年第2期

浏览历史

内容加载中请稍等...