Nonexistence of Iterative Roots on PM Functions
- ISSN号:2095-2651
- 期刊名称:《数学研究及应用:英文版》
- 时间:0
- 分类:O171[理学—数学;理学—基础数学] O174.1[理学—数学;理学—基础数学]
- 作者机构:[1]Department of Mathematics, Physics and Information Engineering, Jiaxin9 University, Zhejiang 314001, P. R. China, [2]Department of Mathematics and Information Science, Leshan Normal College, Sichuan 614004, P. R. China, [3]Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, P. R. China
- 相关基金:Supported by the National Natural Foundation of China (Grant No. 11201184) and the Scientific Research Fund of Sichuan Provincial Education Department (Grant No. 11ZA160). We would like to thank the referees for careful reading and many helpful suggestions.
中文摘要:
Many results are given for iterative roots of PM functions,a class of non-monotonic continuous functions,when the characteristic interval exists.In this paper we discuss iterative roots in the opposite case and partly answer the Open Problem 1 proposed in [Ann.Polon.Math.,1997,65(2):119-128].
英文摘要:
Many results are given for iterative roots of PM functions, a class of non-monotonic continuous functions, when the characteristic interval exists. In this paper we discuss iterative roots in the opposite case and partly answer the Open Problem 1 proposed in [Ann. Polon. Math., 1997, 65(2): 119-128].