二阶非齐次微分方程解的增长性与不动点

数学季刊 ›› 2013, Vol. 28 ›› Issue (3): 437-446.

二阶非齐次微分方程解的增长性与不动点

Institute of Mathematics and Informatics, Jiangxi Normal University

收稿日期:2012-10-29 出版日期:2013-09-30 发布日期:2023-02-24
作者简介:FENG Bin(1987-), male, native of Fuzhou, Jiangxi, engages in complex analysis; LIU hui- fang(1973-), female, native of Fengcheng, Jiangxi, an associate professor of Jiangxi Normal University, Ph.D., engages in complex analysis.
基金资助:
Supported by the NNSF of China(11201195)；Supported by the Natural Science Foundation of Jiangxi(20122BAB201012,20132BAB201008); Supported by the STP of Education Department of Jiangxi(GJJ12179)

On the Growth and the Fixed Points of Solutions of Second Order Non-homogeneous Diﬀerential Equations

Institute of Mathematics and Informatics, Jiangxi Normal University

Received:2012-10-29 Online:2013-09-30 Published:2023-02-24
About author:FENG Bin(1987-), male, native of Fuzhou, Jiangxi, engages in complex analysis; LIU hui- fang(1973-), female, native of Fengcheng, Jiangxi, an associate professor of Jiangxi Normal University, Ph.D., engages in complex analysis.
Supported by:
Supported by the NNSF of China(11201195)；Supported by the Natural Science Foundation of Jiangxi(20122BAB201012,20132BAB201008)；Supported by the STP of Education Department of Jiangxi(GJJ12179)

摘要/Abstract

摘要： In this paper, we investigate the growth and the fixed points of solutions and their 1st,2nd derivatives of second order non-homogeneous linear differential equation and obtain the estimation of the order and the exponent of convergence of fixed points of solutions of the above equations.

关键词: differential equation, entire function, order of growth, fixed point

Abstract: In this paper, we investigate the growth and the fixed points of solutions and their 1st,2nd derivatives of second order non-homogeneous linear differential equation and obtain the estimation of the order and the exponent of convergence of fixed points of solutions of the above equations.

Key words: differential equation, entire function, order of growth, fixed point

中图分类号:

O174.52

冯斌, 刘慧芳. 二阶非齐次微分方程解的增长性与不动点[J]. 数学季刊, 2013, 28(3): 437-446.

FENG Bin, LIU Hui-fang. On the Growth and the Fixed Points of Solutions of Second Order Non-homogeneous Diﬀerential Equations[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(3): 437-446.

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