Trichotomy for Dynamical Systems in Banach Spaces
We construct a framework for the study of dynamical systems that describe phenomena from physics and engineering in infinite dimensions and whose state evolution is set out by skew-evolution semiflows. Therefore, we introduce the concept of ω-trichotomy. Characterizations in a uniform setting are pr...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/793813 |
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| _version_ | 1832560390249119744 |
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| author | Codruţa Stoica |
| author_facet | Codruţa Stoica |
| author_sort | Codruţa Stoica |
| collection | DOAJ |
| description | We construct a framework for the study of dynamical systems that describe phenomena from physics and engineering in infinite dimensions and whose state evolution is set out by skew-evolution semiflows. Therefore, we introduce the concept of ω-trichotomy. Characterizations in a uniform setting are proved, using techniques from the
domain of nonautonomous evolution equations with unbounded coefficients, and connections with the classic notion of trichotomy are given. The statements are sustained by several examples. |
| format | Article |
| id | doaj-art-6c383cefbfe5452ea3307d06e2faeba9 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-6c383cefbfe5452ea3307d06e2faeba92025-02-03T01:27:46ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/793813793813Trichotomy for Dynamical Systems in Banach SpacesCodruţa Stoica0Department of Mathematics and Computer Science, Aurel Vlaicu University of Arad, 2 Elena Drăgoi Str, 310330 Arad, RomaniaWe construct a framework for the study of dynamical systems that describe phenomena from physics and engineering in infinite dimensions and whose state evolution is set out by skew-evolution semiflows. Therefore, we introduce the concept of ω-trichotomy. Characterizations in a uniform setting are proved, using techniques from the domain of nonautonomous evolution equations with unbounded coefficients, and connections with the classic notion of trichotomy are given. The statements are sustained by several examples.http://dx.doi.org/10.1155/2013/793813 |
| spellingShingle | Codruţa Stoica Trichotomy for Dynamical Systems in Banach Spaces The Scientific World Journal |
| title | Trichotomy for Dynamical Systems in Banach Spaces |
| title_full | Trichotomy for Dynamical Systems in Banach Spaces |
| title_fullStr | Trichotomy for Dynamical Systems in Banach Spaces |
| title_full_unstemmed | Trichotomy for Dynamical Systems in Banach Spaces |
| title_short | Trichotomy for Dynamical Systems in Banach Spaces |
| title_sort | trichotomy for dynamical systems in banach spaces |
| url | http://dx.doi.org/10.1155/2013/793813 |
| work_keys_str_mv | AT codrutastoica trichotomyfordynamicalsystemsinbanachspaces |