高阶微分方程解的零点的分布

数学季刊 ›› 2010, Vol. 25 ›› Issue (1): 92-97.

高阶微分方程解的零点的分布

1. Department of Mathematics and Physics, Xinyu College2. Department of Mathematics, Xianning College

收稿日期:2006-06-21 出版日期:2010-03-30 发布日期:2023-06-09
作者简介: CHEN Yu-xian(1968- ), male, native of Yongxin, Jiangxi, M.D.S., a professor of Xinyu College, engages in complex analysis; WU Zhao-jun(1978- ), male, native of Xianning, Hubei, Ph.D., engages in complex analysis.
基金资助:
Supported by the NSF of China(10471048)；

On the Location of Zeros of Higher Order Differential Equation

1. Department of Mathematics and Physics, Xinyu College2. Department of Mathematics, Xianning College

Received:2006-06-21 Online:2010-03-30 Published:2023-06-09
About author: CHEN Yu-xian(1968- ), male, native of Yongxin, Jiangxi, M.D.S., a professor of Xinyu College, engages in complex analysis; WU Zhao-jun(1978- ), male, native of Xianning, Hubei, Ph.D., engages in complex analysis.
Supported by:
Supported by the NSF of China(10471048)；

摘要/Abstract

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^[6] and Yi^[7].

关键词: second order exponent convergence, Nevanlinna theory, higher order differential
equation

Abstract: 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^[6] and Yi^[7].

Key words: second order exponent convergence, Nevanlinna theory, higher order differential
equation

中图分类号:

O175.55

陈裕先, 吴昭君. 高阶微分方程解的零点的分布[J]. 数学季刊, 2010, 25(1): 92-97.

CHEN 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.