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 par...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].展开更多
In this paper,a topological classification of piecewise monotone functions(abbreviated as PM functions)with nonmonotonicity height equal to 1 which are strictly increasing on their characteristic intervals and have fi...In this paper,a topological classification of piecewise monotone functions(abbreviated as PM functions)with nonmonotonicity height equal to 1 which are strictly increasing on their characteristic intervals and have finitely many fixed points is presented.展开更多
基金Supported by the National Natural Foundation of China(Grant No.11201184)the Scientific Research Fundof Sichuan Provincial Education Department(Grant No.11ZA160)
文摘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].
文摘In this paper,a topological classification of piecewise monotone functions(abbreviated as PM functions)with nonmonotonicity height equal to 1 which are strictly increasing on their characteristic intervals and have finitely many fixed points is presented.
