数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (6): 1685-1694.doi: 10.1016/S0252-9602(17)30100-5

• 论文 • 上一篇    下一篇

RICCATI-TYPE RESULT FOR MEROMORPHIC SOLUTIONS OF SYSTEMS OF COMPOSITE FUNCTIONAL EQUATIONS

高凌云1, 刘曼莉2   

  1. 1. Department of Mathematics, Jinan University, Guangzhou 510632, China;
    2. School of Mathematics, Shandong University, Jinan 250100, China
  • 收稿日期:2016-07-23 修回日期:2017-06-20 出版日期:2017-12-25 发布日期:2017-12-25
  • 通讯作者: Manli LIU E-mail:lml6641@163.com
  • 作者简介:Lingyun GAO,tgaoly@jnu.edu.cn

RICCATI-TYPE RESULT FOR MEROMORPHIC SOLUTIONS OF SYSTEMS OF COMPOSITE FUNCTIONAL EQUATIONS

Lingyun GAO1, Manli LIU2   

  1. 1. Department of Mathematics, Jinan University, Guangzhou 510632, China;
    2. School of Mathematics, Shandong University, Jinan 250100, China
  • Received:2016-07-23 Revised:2017-06-20 Online:2017-12-25 Published:2017-12-25
  • Contact: Manli LIU E-mail:lml6641@163.com

摘要:

By use of Nevanlinna value distribution theory, we will investigate the properties of meromorphic solutions of two types of systems of composite functional equations and obtain some results. One of the results we get is about both components of meromorphic solutions on the system of composite functional equations satisfying Riccati differential equation, the other one is property of meromorphic solutions of the other system of composite functional equations while restricting the growth.

关键词: Riccati equations, meromorphic solutions, composite functional equations

Abstract:

By use of Nevanlinna value distribution theory, we will investigate the properties of meromorphic solutions of two types of systems of composite functional equations and obtain some results. One of the results we get is about both components of meromorphic solutions on the system of composite functional equations satisfying Riccati differential equation, the other one is property of meromorphic solutions of the other system of composite functional equations while restricting the growth.

Key words: Riccati equations, meromorphic solutions, composite functional equations