THE GROWTH OF DIFFERENCE EQUATIONS AND DIFFERENTIAL EQUATIONS

doi:10.1007/s10473-021-0608-0

数学物理学报(英文版) ›› 2021, Vol. 41 ›› Issue (6): 1911-1920.doi: 10.1007/s10473-021-0608-0

THE GROWTH OF DIFFERENCE EQUATIONS AND DIFFERENTIAL EQUATIONS

陈宗煊¹, 张然然², 蓝双婷³, 陈创鑫⁴

1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China;
2. Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China;
3. School of Mathematics and Systems Sciences, Guangdong Polytechnic Normal University, Guangzhou 510665, China;
4. College of Computational Sciences, Zhongkai University of Agriculture and Engineering, Guangzhou 510225, China

收稿日期:2021-03-10 修回日期:2021-07-14 出版日期:2021-12-25 发布日期:2021-12-27
通讯作者: Zongxuan CHEN,E-mail:chzx@vip.sina.com E-mail:chzx@vip.sina.com
作者简介:Ranran ZHANG,E-mail:zhangranran@gdei.edu.cn;Shuangting LAN,E-mail:wqh200811@126.com;Chuangxin CHEN,E-mail:chenchxin@126.com
基金资助:
This work is supported by the National Natural Science Foundation of China (11771090, 11871260, 11761035, 11801093, 11801110).

THE GROWTH OF DIFFERENCE EQUATIONS AND DIFFERENTIAL EQUATIONS

Zongxuan CHEN¹, Ranran ZHANG², Shuangting LAN³, Chuangxin CHEN⁴

1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China;
2. Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China;
3. School of Mathematics and Systems Sciences, Guangdong Polytechnic Normal University, Guangzhou 510665, China;
4. College of Computational Sciences, Zhongkai University of Agriculture and Engineering, Guangzhou 510225, China

Received:2021-03-10 Revised:2021-07-14 Online:2021-12-25 Published:2021-12-27
Supported by:
This work is supported by the National Natural Science Foundation of China (11771090, 11871260, 11761035, 11801093, 11801110).

摘要/Abstract

摘要： In this paper, we mainly apply a new, asymptotic method to investigate the growth of meromorphic solutions of linear higher order difference equations and differential equations. We delete the condition (1.6) of Theorems E and F, yet obtain the same results for Theorems E and F. We also weaken the condition (1.4) of Theorems C and D.

关键词: asymptotic Method, difference equations, differential equations

Abstract: In this paper, we mainly apply a new, asymptotic method to investigate the growth of meromorphic solutions of linear higher order difference equations and differential equations. We delete the condition (1.6) of Theorems E and F, yet obtain the same results for Theorems E and F. We also weaken the condition (1.4) of Theorems C and D.

Key words: asymptotic Method, difference equations, differential equations

中图分类号:

30D35

陈宗煊, 张然然, 蓝双婷, 陈创鑫. THE GROWTH OF DIFFERENCE EQUATIONS AND DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 2021, 41(6): 1911-1920.

Zongxuan CHEN, Ranran ZHANG, Shuangting LAN, Chuangxin CHEN. THE GROWTH OF DIFFERENCE EQUATIONS AND DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia,Series B, 2021, 41(6): 1911-1920.

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THE GROWTH OF DIFFERENCE EQUATIONS AND DIFFERENTIAL EQUATIONS

THE GROWTH OF DIFFERENCE EQUATIONS AND DIFFERENTIAL EQUATIONS

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