| 严格逐段单调函数迭代根的不存在性 |
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| 引用本文： | 刘鎏.严格逐段单调函数迭代根的不存在性[J].成都信息工程学院学报,2009,24(2):198-200. |
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| 作者姓名： | 刘鎏 |
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| 作者单位： | 四川大学数学学院,四川,成都,610064 |
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| 基金项目： | 教育部高等学校博士学科点专项科研基金 |
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| 摘 要： | 对于严格逐段单凋函数,前人证明在函数自身迭代后非单调点个数增加的情况下不存在次数大于函数非单调点个数的迭代根,这里进一步证明在一定条件下函数小存在次数等于函数非单调点个数的迭代根.
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| 关 键 词： | 迭代根 特征区间 非单调点 |
Nonexistence of iterative roots of PM functions |
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| LIU Liu.Nonexistence of iterative roots of PM functions[J].Journal of Chengdu University of Information Technology,2009,24(2):198-200. |
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| Authors: | LIU Liu |
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| Institution: | LIU Liu(College of Mathematics,SCU,Chengdu 610064,China) |
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| Abstract: | It is known that the piece monotone functions which increase the number of the non-monotone points under the iteration have no iterative roots whose order is more than the number of the non-monotone points.That there is no iterative root whose order is equal to the number of the non-monotone points of the piece monotone functions is proved under some conditions. |
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| Keywords: | iterative root characteristic interval non-monotone point |
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