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

• 论文 • 上一篇    下一篇

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. 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. 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: 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