A limit set trichotomy for order-preserving systems on time scales
In this paper we derive a limit set trichotomy for abstract order-preserving 2-parameter semiflows in normal cones of strongly ordered Banach spaces. Additionally, to provide an example, Muller's theorem is generalized to dynamic equations on arbitrary time scales and applied to a model from po...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2004-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2004/64/abstr.html |
| _version_ | 1828489869975879680 |
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| author | Christian Poetzsche Stefan Siegmund |
| author_facet | Christian Poetzsche Stefan Siegmund |
| author_sort | Christian Poetzsche |
| collection | DOAJ |
| description | In this paper we derive a limit set trichotomy for abstract order-preserving 2-parameter semiflows in normal cones of strongly ordered Banach spaces. Additionally, to provide an example, Muller's theorem is generalized to dynamic equations on arbitrary time scales and applied to a model from population dynamics. |
| first_indexed | 2024-12-11T10:33:36Z |
| format | Article |
| id | doaj.art-03e39df573b64f1b821c3d0cbe14c407 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T10:33:36Z |
| publishDate | 2004-04-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-03e39df573b64f1b821c3d0cbe14c4072022-12-22T01:10:48ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-04-01200464118A limit set trichotomy for order-preserving systems on time scalesChristian PoetzscheStefan SiegmundIn this paper we derive a limit set trichotomy for abstract order-preserving 2-parameter semiflows in normal cones of strongly ordered Banach spaces. Additionally, to provide an example, Muller's theorem is generalized to dynamic equations on arbitrary time scales and applied to a model from population dynamics.http://ejde.math.txstate.edu/Volumes/2004/64/abstr.htmlLimit set trichotomy2-parameter semiflowdynamic equationtime scale. |
| spellingShingle | Christian Poetzsche Stefan Siegmund A limit set trichotomy for order-preserving systems on time scales Electronic Journal of Differential Equations Limit set trichotomy 2-parameter semiflow dynamic equation time scale. |
| title | A limit set trichotomy for order-preserving systems on time scales |
| title_full | A limit set trichotomy for order-preserving systems on time scales |
| title_fullStr | A limit set trichotomy for order-preserving systems on time scales |
| title_full_unstemmed | A limit set trichotomy for order-preserving systems on time scales |
| title_short | A limit set trichotomy for order-preserving systems on time scales |
| title_sort | limit set trichotomy for order preserving systems on time scales |
| topic | Limit set trichotomy 2-parameter semiflow dynamic equation time scale. |
| url | http://ejde.math.txstate.edu/Volumes/2004/64/abstr.html |
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