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The Growth of Solutions of Higher Order Differential Equations with Coefficients Having the Same Order: 《Journal of Mathematical Research with Applications》2015年第4期387-399,共13页Yanyan ZHAN Lipeng XIAO; Supported by the National Natural Science Foundation of China(Grant Nos.11301232;11171119);the Natural Science Foundation of Jiangxi Province(Grant No.20132BAB211009); In this paper, we consider the growth of solutions of some homogeneous and non- homogeneous higher order differential equations. It is proved that under some conditions for entire functions F, Aji and polynomials Pj（...; 关键词：order of growth HYPER-ORDER exponent of convergence of zero sequence differ-ential equation

ON THE GROWTH OF SOLUTIONS TO HIGHER ORDER DIFFERENTIAL EQUATION被引量：1: 《Annals of Differential Equations》2012年第2期170-179,共10页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); supported by the Natural Science Foundation of Jiangxi Province(No.20114BAB211003); 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.; 关键词：differential equation entire function order of growth HYPER-ORDER

Numbers of Subnormal Solutions for Higher Order Periodic Differential Equations被引量：1: 《Acta Mathematica Sinica,English Series》2011年第9期1753-1768,共16页Zong Xuan CHEN Kwang Ho SHON; The first author is supported by National Natural Science Foundation of China （Grant No. 10871076）; the second author is supported by the Research Fund Program of Research Institute for Basic Sciences, Pusan National University, Korea, 2009, Project No. RIBS-PNU-2010-0066000 The authors are grateful to the referees for a number of helpful suggestions to improve the paper.; In this paper, we estimate the number of subnormal solutions for higher order linear periodic differential equations, and estimate the growth of subnormal solutions and all other solutions. We also give a representati...; 关键词：Periodic differential equation subnormal solution HYPER-ORDER

On the Growth of Solutions of a Class of Higher Order Linear Differential Equations with Meromorphic Coefficients被引量：2: 《Chinese Quarterly Journal of Mathematics》2009年第2期278-283,共6页MAO Zhi-qiang LIU Hui-fang; 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...; 关键词：linear differential equation meromorphic function growth order HYPER-ORDER

ESTIMATES FOR THE HYPER-ORDER OF SOLUTIONS OF CERTAIN LINEAR DIFFERENTIAL EQUATIONS被引量：2: 《Acta Mathematica Scientia》2008年第2期393-400,共8页江良英陈宗煊; the National Natural Science Foundation of China(10161006,10571044);the Natural Science Foundation of Guangdong Prov(06025059); In this article, the authors study the growth of certain second order linear differential equation f″＋A（z）f′＋B（z）f=0 and give precise estimates for the hyperorder of solutions of infinite order. Under similar ...; 关键词：Linear differential equation entire function HYPER-ORDER GENUS

Oscillation of Solutions of Linear Differential Equations被引量：8: 《Acta Mathematica Sinica,English Series》2008年第1期167-176,共10页Ye Zhou LI Jun WANG; Tian Yuan Fund for Mathematics (Grant No.10426007);Shanghai Postdoctoral Scientific Program; This paper is devoted to studying the growth problem, the zeros and fixed points distribution of the solutions of linear differential equations f″＋e^-zf′＋Q（z）f=F（z）,whereQ（z）≡h（z）e^cz and c∈R.; 关键词：complex differential equation entire functions HYPER-ORDER ZERO

ON THE GROWTH OF SOLUTIONS OF A CLASS OF HIGHER ORDER DIFFERENTIAL EQUATION被引量：2: 《Annals of Differential Equations》2007年第1期35-44,共10页Kang Yueming Chen Zongxuan Cheng Tao; This work is supported by the National Natural Science Foundation of China(No.10571028);the Ph.D. Programs Foundation of Higher Education of China (No.20050574002);the Natural Science Foundation of Guangdong Province (No.06025059).; In this paper, a class of higher order linear differential equation is investigated. The order and the hyper-order of the solutions of the equation are exactly estimated under some certain conditions.; 关键词：linear differential equation the growth of order HYPER-ORDER entire function

GROWTH OF SOLUTIONS OF THREE ORDER DIFFERENTIAL EQUATIONS: 《Applied Mathematics(A Journal of Chinese Universities)》2005年第1期35-44,共10页ChenZongxuan; theNationalNaturalScienceFoundationofChina(10161006)andtheNaturalScienceFoundationofGuangdongProvince(04010360); In this paper,the precise estimation of the order and hyper-order of solutions of a class of three order homogeneous and non-homogeneous linear differential equations are obtained.The results of M.Ozawa(1980),G.Gunder...; 关键词：differential equation entire function hyper-order.

FIXED POINTS OF THE lTH POWER OF DIFFERENTIAL POLYNOMIALS GENERATED BY SOLUTIONS OF DIFFERENTIAL EQUATIONS: 《Journal of Systems Science & Complexity》2004年第2期271-280,共10页WANGJun YIHongxun CAIHuiping; This research is supported by the National Natural Science Foundation of China(No. 10371065) ; the Natural Science Foundation of Shandong Province, China(No. Z2002A01).; In this paper,we study the problem on the fixed points of the lth power of linear differential polynomials generated by second order linear differential equations.Because of the control of differential equation,we can...; 关键词：second order differential equation fixed point differential polynomial order HYPER-ORDER

ON THE GROWTH OF SOLUTIONS OF A CLASS OF HIGHER ORDER DIFFERENTIAL EQUATIONS被引量：28: 《Acta Mathematica Scientia》2004年第1期52-60,共9页陈宗煊孙光镐; This work is supported by the National Natural Science Foundation of China(10161006);the Natural Science Foundation of Jiangxi Prov(001109);Korea Research Foundation Grant(KRF-2001-015-DP0015); In this paper, authors investigate the order of growth and the hyper order of solutions of a class of the higher order linear differential equation, and improve results of M. Ozawa, G. Gundersen and J.K. Langley, Li C...; 关键词：Differential equation entire function HYPER-ORDER

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