CONTINUOUSLY DECREASING SOLUTIONS FOR A GENERAL ITERATIVE EQUATION

doi:10.1016/S0252-9602(17)30125-X

数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (1): 177-186.doi: 10.1016/S0252-9602(17)30125-X

CONTINUOUSLY DECREASING SOLUTIONS FOR A GENERAL ITERATIVE EQUATION

宋威¹, 李林²

1. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China;
2. College of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing 314001, China

收稿日期:2016-10-25 修回日期:2017-02-10 出版日期:2018-02-25 发布日期:2018-02-25
通讯作者: Lin LI E-mail:matlinl@mail.zjxu.edu.cn
作者简介:Wei SONG,E-mail:dawenhxi@126.com
基金资助:
This work is supported by Zhejiang Provincial Natural Science Foundation of China under Grant No.LY18A010017 and the National Science Foundation of China (11101105, 11301226).

CONTINUOUSLY DECREASING SOLUTIONS FOR A GENERAL ITERATIVE EQUATION

Wei SONG¹, Lin LI²

1. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China;
2. College of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing 314001, China

Received:2016-10-25 Revised:2017-02-10 Online:2018-02-25 Published:2018-02-25
Contact: Lin LI E-mail:matlinl@mail.zjxu.edu.cn
Supported by:
This work is supported by Zhejiang Provincial Natural Science Foundation of China under Grant No.LY18A010017 and the National Science Foundation of China (11101105, 11301226).

摘要/Abstract

摘要：

Most known results on polynomial-like iterative equations are concentrated to increasing solutions. Without the uniformity of orientation and monotonicity, it becomes much more difficult for decreasing cases. In this paper, we prove the existence of decreasing solutions for a general iterative equation, which was proposed as an open problem in[J. Zhang, L. Yang, W. Zhang, Some advances on functional equations, Adv. Math. (China) 24 (1995) 385-405] (or[W. Zhang, J.A. Baker, Continuous solutions of a polynomial-like iterative equation with variable coefficients, Ann. Polon. Math. 73 (2000) 29-36]).

关键词: iterative equation, orientation-reversing, Schröder transformation, fixed point theorem

Abstract:

Key words: iterative equation, orientation-reversing, Schröder transformation, fixed point theorem

宋威, 李林. CONTINUOUSLY DECREASING SOLUTIONS FOR A GENERAL ITERATIVE EQUATION[J]. 数学物理学报(英文版), 2018, 38(1): 177-186.

Wei SONG, Lin LI. CONTINUOUSLY DECREASING SOLUTIONS FOR A GENERAL ITERATIVE EQUATION[J]. Acta mathematica scientia,Series B, 2018, 38(1): 177-186.

参考文献

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CONTINUOUSLY DECREASING SOLUTIONS FOR A GENERAL ITERATIVE EQUATION

CONTINUOUSLY DECREASING SOLUTIONS FOR A GENERAL ITERATIVE EQUATION

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