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| 区间上k段单调连续自映射的k阶迭代根 | |
| 引用本文： | 孙太祥,席鸿建.区间上k段单调连续自映射的k阶迭代根[J].数学研究及应用,1998,18(4):575-579. |
| 作者姓名： | 孙太祥 席鸿建 |
| 作者单位： | 广西大学数学系;广西大学数学系 |
| 基金项目： | 广西自然科学基金项目. |
| 摘 要： | 本文得到了区间Ｉ＝［０，１］上的ｋ段单调连续自映射具有ｋ阶迭代根的充要条件 |
| 关 键 词： | k段单调连续自映射 单峰自映射 反单峰自映射 反序函数 迭代根 特征区间 |
The k-th Iterative Solutions of k piece Monotone Continuous Self-mapping on the Interval |
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| Sun Taixiang and Xi Hongjian.The k-th Iterative Solutions of k piece Monotone Continuous Self-mapping on the Interval[J].Journal of Mathematical Research with Applications,1998,18(4):575-579. | |
| Authors: | Sun Taixiang and Xi Hongjian |
| Institution: | Dept. of Math.; Guangxi University; Nanning 530004;Dept. of Math.; Guangxi University; Nanning 530004 |
| Abstract: | In this paper, we obtain necessary and sufficient condition of that k-piece monotone continuous self mapping on the interval has the k-th iterative Solutions. |
| Keywords: | k-piece monotone continuous self mapping unimodal self-mapping anti-unimodal self mapping reverse order function iterative solution characteristic interval |
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