On the Location of Zeros of Higher Order Differential Equation 被引量：2

On the Location of Zeros of Higher Order Differential Equation

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摘要 In this paper, by using the Nevanlinna Theory on angular domain, we establish a theorem which concerns the growth of entire function and his zero. As an application, we survey the location of zero of higher order differential equation, which can be regarded as an alternating but precise version of Wu and Yi.

作者 CHEN Yu-xian WU Zhao-jun

机构地区 Department of Mathematics and Physics Department of Mathematics

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2010年第1期92-97,共6页 数学季刊（英文版）

基金 Supported by the NSF of China(10471048)

关键词 second order exponent convergence Nevanlinna theory higher order differential equation 第二顺序代表集中；Nevanlinna 理论；更高订微分方程；

分类号 O175.55 [理学—基础数学]

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参考文献8

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二级参考文献1

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共引文献6

1徐洪焱,易才凤,陈裕先.迭代级函数的辐角分布[J].江西师范大学学报（自然科学版）,2006,30(2):180-183.
2陈裕先,胡长春,吴昭君.复方程f″+Af=0解的超级零点充满圆[J].江西师范大学学报（自然科学版）,2007,31(3):232-235. 被引量：2
3金瑾.高阶复微分方程解的超级的角域分布[J].数学的实践与认识,2008,38(12):178-187. 被引量：20
4金瑾,何鹏飞,谭棉.复微分方程f"+Af=0解的无穷级零点充满圆[J].毕节学院学报（综合版）,2010,28(4):35-40.
5胡军,易才凤.高阶非齐次线性微分方程解沿径向的振荡性质[J].江西师范大学学报（自然科学版）,2014,38(2):162-166. 被引量：1
6吴昭君.无限级整函数在角域内的取值和增长性[J].数学年刊（A辑）,2015,36(1):81-90.

同被引文献10

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
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9Ye 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
10MAO Zhi-qiang,LIU Hui-fang.On the Growth of Solutions of a Class of Higher Order Linear Differential Equations with Meromorphic Coefficients[J].Chinese Quarterly Journal of Mathematics,2009,24(2):278-283. 被引量：2