| 非压缩动力系统的Perron—Frobenius算子具有PF性质的几个充分条件 |
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| 引用本文： | 刘卉. 非压缩动力系统的Perron—Frobenius算子具有PF性质的几个充分条件[J]. 嘉应学院学报, 2008, 26(3): 26-28 |
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| 作者姓名： | 刘卉 |
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| 作者单位： | 嘉应学院数学系,广东,梅州,514015 |
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| 摘 要： | 讨论了n维非压缩动力系统及其所定义的Perron—Frobenius算子。通过建立n维非压缩动力系统的PF算子与非膨胀函数迭代系统的Ruelle算子之间的联系，给出了所论算子具有Perron—Frobenius性质的几个充分条件。
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| 关 键 词： | 非压缩动力系统 函数迭代系统 Dini连续 Perron—Frobenius算子 Perron—Frobenius性质 |
Some Sufficient Conditions for the Non -contractive Dynamical Systems' Perron- Frobenius Operators Possessing the Perron- Frobenius Property |
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| HIU Hui. Some Sufficient Conditions for the Non -contractive Dynamical Systems' Perron- Frobenius Operators Possessing the Perron- Frobenius Property[J]. Journal of Jiaying University, 2008, 26(3): 26-28 |
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| Authors: | HIU Hui |
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| Affiliation: | HIU Hui ( Department of Mathematics ,flaying University,Meizhou 514015, China) |
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| Abstract: | In this paper,we study the non-contractive dynamical systems and the associated Perron-Frobenius operators,and we give some sufficient condition for the operator possessing the Perron-Frobenius property. |
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| Keywords: | non-contractive dynamical system iterated function system Dini continuity Perron-Frobenius operator Perron-Frobenius property |
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