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On the First Prolongational Limit Set of Flows of Free Mappings

並列摘要


We consider an equivalence relation defined for a given flow of the plane which has no fixed points. We prove that the first prolongational limit set of every point from the boundary of an equivalence class is contained in the boundary of this class. Moreover, if two points lying on two different boundary orbits of a class are contained in the same component of the complement of an orbit of this class, then each of these two points is contained in the first prolongational limit set of the other one.

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被引用紀錄


Sheng, Y. D. (2008). 奈米薄膜去除天然有機物與微囊藻毒-LR之研究 [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2008.02851
楊祚魁(2003)。相位式繞射光學元件之研製〔碩士論文,國立臺灣師範大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0021-2603200719140734
陳惠芬(2009)。迷走神經性昏厥與頭抬高傾斜床試驗〔碩士論文,長榮大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0015-1708200915525300

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