ON EXISTENCE OF SOLUTIONS OF DIFFERENCE RICCATI EQUATION

doi:10.1007/s10473-019-0111-z

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (1): 139-147.doi: 10.1007/s10473-019-0111-z

ON EXISTENCE OF SOLUTIONS OF DIFFERENCE RICCATI EQUATION

陈宗煊¹, Kwang Ho SHON²

1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China;
2. Department of Mathematics, College of Natural Sciences, Pusan National University, Busan, 609-735, Korea

收稿日期:2017-09-11 修回日期:2018-01-01 出版日期:2019-02-25 发布日期:2019-03-13
通讯作者: Zongxuan CHEN E-mail:chzx@vip.sina.com
作者简介:Kwang Ho SHON, khshon@pusan.ac.kr
基金资助:
The research was supported by the National Natural Science Foundation of China (11771090, 11761035, 11871260) and the Natural Science Foundation of Guangdong Province in China (2016A030310106, 2016A030313745).

ON EXISTENCE OF SOLUTIONS OF DIFFERENCE RICCATI EQUATION

Zongxuan CHEN¹, Kwang Ho SHON²

1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China;
2. Department of Mathematics, College of Natural Sciences, Pusan National University, Busan, 609-735, Korea

Received:2017-09-11 Revised:2018-01-01 Online:2019-02-25 Published:2019-03-13
Contact: Zongxuan CHEN E-mail:chzx@vip.sina.com
Supported by:
The research was supported by the National Natural Science Foundation of China (11771090, 11761035, 11871260) and the Natural Science Foundation of Guangdong Province in China (2016A030310106, 2016A030313745).

摘要/Abstract

摘要： Consider the difference Riccati equation f(z+1)=A(z)f(z)+B(z)/C(z)f(z)+D(z), where A, B, C, D are meromorphic functions, we give its solution family with one-parameter

where Q(z) is any constant in C or any periodic meromorphic function with period 1, and f₀(z), f₁(z), f₂(z) are its three distinct meromorphic solutions.

关键词: difference Riccati equation, solution family, order of growth

Abstract: Consider the difference Riccati equation f(z+1)=A(z)f(z)+B(z)/C(z)f(z)+D(z), where A, B, C, D are meromorphic functions, we give its solution family with one-parameter

where Q(z) is any constant in C or any periodic meromorphic function with period 1, and f₀(z), f₁(z), f₂(z) are its three distinct meromorphic solutions.

Key words: difference Riccati equation, solution family, order of growth

陈宗煊, Kwang Ho SHON. ON EXISTENCE OF SOLUTIONS OF DIFFERENCE RICCATI EQUATION[J]. 数学物理学报(英文版), 2019, 39(1): 139-147.

Zongxuan CHEN, Kwang Ho SHON. ON EXISTENCE OF SOLUTIONS OF DIFFERENCE RICCATI EQUATION[J]. Acta mathematica scientia,Series B, 2019, 39(1): 139-147.

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ON EXISTENCE OF SOLUTIONS OF DIFFERENCE RICCATI EQUATION

ON EXISTENCE OF SOLUTIONS OF DIFFERENCE RICCATI EQUATION

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