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A note on iterative roots of PM functions |
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| Authors: | Lin Li Dilian Yang |
| Affiliation: | a Department of Mathematics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, PR China b Pure Mathematics Department, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 c Yangtze Center of Mathematics and Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, PR China |
| Abstract: | In this paper we study iterative roots of PM functions, a special class of non-monotone functions. Problem 2 in [W. Zhang, PM functions, their characteristic intervals and iterative roots, Ann. Polon. Math. LXV (1997) 119-128] is solved partly and Theorem 4 in that paper is generalized. |
| Keywords: | Iterative root Characteristic interval Monotonicity |
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