Chain Recurrent Sets for Autonomous Differential Equations with Multiple Solutions

Chain Recurrent Sets for Autonomous Differential Equations with Multiple Solutions

碩士 === 國立交通大學 === 應用數學系所 === 96 === In 1967, Strauss and Yorke introduced the concept of generalized positive limit sets for asymptotic autonomous differential equations. In this thesis, we study chain recurrent sets for autonomous differential equations possibly with multiple solutions. Under certa...

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Main Authors: Shih-Jhong Zeng, 曾世忠
Other Authors: Ming-Chia Li
Format: Others
Language:en_US
Published: 2008
Online Access:http://ndltd.ncl.edu.tw/handle/57641324676512433521
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spelling ndltd-TW-096NCTU55070252015-10-13T12:18:06Z http://ndltd.ncl.edu.tw/handle/57641324676512433521 Chain Recurrent Sets for Autonomous Differential Equations with Multiple Solutions 具多重解的自律微分方程鏈回歸集 Shih-Jhong Zeng 曾世忠 碩士 國立交通大學 應用數學系所 96 In 1967, Strauss and Yorke introduced the concept of generalized positive limit sets for asymptotic autonomous differential equations. In this thesis, we study chain recurrent sets for autonomous differential equations possibly with multiple solutions. Under certain conditions, we obtain semi-invariance of the chain recurrent set. Relations between chain recurrent sets and generalized positive limit sets are also concerned. Ming-Chia Li 李明佳 2008 學位論文 ; thesis 15 en_US
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language en_US
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sources NDLTD
description 碩士 === 國立交通大學 === 應用數學系所 === 96 === In 1967, Strauss and Yorke introduced the concept of generalized positive limit sets for asymptotic autonomous differential equations. In this thesis, we study chain recurrent sets for autonomous differential equations possibly with multiple solutions. Under certain conditions, we obtain semi-invariance of the chain recurrent set. Relations between chain recurrent sets and generalized positive limit sets are also concerned.
author2 Ming-Chia Li
author_facet Ming-Chia Li
Shih-Jhong Zeng
曾世忠
author Shih-Jhong Zeng
曾世忠
spellingShingle Shih-Jhong Zeng
曾世忠
Chain Recurrent Sets for Autonomous Differential Equations with Multiple Solutions
author_sort Shih-Jhong Zeng
title Chain Recurrent Sets for Autonomous Differential Equations with Multiple Solutions
title_short Chain Recurrent Sets for Autonomous Differential Equations with Multiple Solutions
title_full Chain Recurrent Sets for Autonomous Differential Equations with Multiple Solutions
title_fullStr Chain Recurrent Sets for Autonomous Differential Equations with Multiple Solutions
title_full_unstemmed Chain Recurrent Sets for Autonomous Differential Equations with Multiple Solutions
title_sort chain recurrent sets for autonomous differential equations with multiple solutions
publishDate 2008
url http://ndltd.ncl.edu.tw/handle/57641324676512433521
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AT céngshìzhōng jùduōzhòngjiědezìlǜwēifēnfāngchéngliànhuíguījí
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