ON OSCILLATION THEOREMS FOR HIGHER ORDER DIFFERENTIAL EQUATIONS 被引量：3

ON OSCILLATION THEOREMS FOR HIGHER ORDER DIFFERENTIAL EQUATIONS

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摘要ＯＮＯＳＣＩＬＬＡＴＩＯＮＴＨＥＯＲＥＭＳＦＯＲＨＩＧＨＥＲＯＲＤＥＲＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳ￥ＣｈｅｎＺｏｎｇｘｕａｎ（ＤｅｐｔｏｆＭａｔｈ，ＪｉａｎｇｘｉＮｏｒｍａｌＵｎｉｖ）ＮａｎｃｈａｎｇＡｂｓｔｒａｃｔ：Ｉｎｔｈｉｓｐａｐ... In this paper,we investigate the complex oscillation of the differentialequationf(k)+Ak-1f(k-1)…+A1f'+A0f=F(z),where Aj(j=0,…,k-1) are finite order entire functions. And we give precise estimates ofthe exponent of convergence of the zero-sequence of solutions for the above equation under someadditional hypotheses.

作者 Chen Zongxuan(Dept of Math,Jiangxi Normal Univ)Nanchang

出处《数学研究》 CSCD 1994年第1期56-59,共4页 Journal of Mathematical Study

关键词线性微分方程完全函数 0-序列非齐次复振动 Linear differential equation,entire function,zero-sequence,order.

分类号 O175.2 [理学—基础数学] O321 [理学—一般力学与力学基础]

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1CHEN 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

引证文献3

1涂金,陈宗煊,曹廷彬,郑秀敏.某类高阶微分方程解的复振荡[J].江西师范大学学报（自然科学版）,2005,29(1):8-11. 被引量：5
2涂金,陈宗煊,郑秀敏.几类高阶微分方程解的复振荡[J].数学杂志,2007,27(1):77-82. 被引量：2
3王珺,吕巍然.关于高阶整函数系数微分方程解的增长性[J].纯粹数学与应用数学,2002,18(3):202-206.

二级引证文献7

1黄志刚.一类亚纯函数系数线性微分方程亚纯解的增长级[J].数学物理学报（A辑）,2010,30(4):1071-1079.
2石磊,易才凤.一类高阶线性微分方程解的增长性[J].江西师范大学学报（自然科学版）,2012,36(3):230-233. 被引量：11
3冯斌,刘慧芳,李延玲.一类高阶微分方程解的增长性[J].江西师范大学学报（自然科学版）,2012,36(4):335-338. 被引量：1
4杨碧珑,易才凤.一类亚纯系数高阶线性微分方程解的增长性[J].江西师范大学学报（自然科学版）,2012,36(5):477-481. 被引量：3
5陈美茹,陈裕先,陈宗煊.某类差分方程亚纯解的增长性[J].数学杂志,2012,32(6):1075-1082.
6李延玲,刘慧芳,冯斌.微分方程f′′+A_1(z)e^(az^n)f′+A_0(z)e^(bz^n)f=F(z)的复振荡[J].江西师范大学学报（自然科学版）,2012,36(6):579-583. 被引量：2
7娄伟,陈宗煊.一类高阶周期微分方程的解和小函数的关系[J].理论数学,2012,2(4):177-184.

1袁文俊.A result of complex oscillation for differential equations f''+(Q_1e^p+Q_2)f=0[J].Chinese Science Bulletin,1996,41(17):1418-1422.
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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
4GAO Shian and YANG Ronghua Department of Mathematics,South China Normal University,Guangzhou 510631, China,Department of Mathematics, Guangdong Educational College, Guangzhou 510303, China.A problem of complex oscillation for homogeneous linear differential equations[J].Chinese Science Bulletin,1998,43(20):1709-1712. 被引量：2
5Tu 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.
6Jin TU,Jingsi WEI,Chunfang CHEN.On the Complex Oscillation of Second Order Linear Differential Equations with Entire Coefficients of [p, q]-Order[J].Journal of Mathematical Research with Applications,2015,35(2):172-180.
7秦厚荣.Elements of Finite Order in K_2 of Fields[J].Chinese Science Bulletin,1994,39(6):449-451. 被引量：2
8Zhi-ting Xu.Oscillation Theorems for Nonlinear Second Order Elliptic Equations[J].Acta Mathematicae Applicatae Sinica,2007,23(4):569-578.
9Jinchang Yu (Software College,Dongguan University of Technology,Dongguan 523808,Guangdong).OSCILLATION THEOREMS FOR A CLASS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS OF EMDEN-FOWLER TYPE[J].Annals of Differential Equations,2009,25(3):371-378. 被引量：2
10俞元洪,靳明忠.OSCILLATION THEOREMS FOR A SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION[J].Applied Mathematics and Mechanics(English Edition),1992,13(4):379-385.

数学研究

1994年第1期

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ON OSCILLATION THEOREMS FOR HIGHER ORDER DIFFERENTIAL EQUATIONS 被引量：3

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