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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| Format: | Others |
| Language: | en_US |
| Published: |
2008
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| Online Access: | http://ndltd.ncl.edu.tw/handle/57641324676512433521 |
| Summary: | 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.
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