On reducibility of linear quasiperiodic systems with bounded solutions
It is proved that nonreducible systems form a dense $G_{\delta}$ subset in the space of systems of linear differential equations with quasiperiodic skew-symmetric matrices and fix frequency module. There exists an open set of nonreducible systems in this space.
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| Format: | Article |
| Language: | English |
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University of Szeged
2000-01-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=55 |
| _version_ | 1797830808789057536 |
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| author | Viktor Tkachenko |
| author_facet | Viktor Tkachenko |
| author_sort | Viktor Tkachenko |
| collection | DOAJ |
| description | It is proved that nonreducible systems form a dense $G_{\delta}$ subset in the space of systems of linear differential equations with quasiperiodic skew-symmetric matrices and fix frequency module. There exists an open set of nonreducible systems in this space. |
| first_indexed | 2024-04-09T13:42:00Z |
| format | Article |
| id | doaj.art-d5c21e597b89491688a887f1351e4af8 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:42:00Z |
| publishDate | 2000-01-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-d5c21e597b89491688a887f1351e4af82023-05-09T07:52:56ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752000-01-0119992911110.14232/ejqtde.1999.5.2955On reducibility of linear quasiperiodic systems with bounded solutionsViktor Tkachenko0Institute of Mathematics, National Academy of Sciences of Ukraine, Kiev, UkraineIt is proved that nonreducible systems form a dense $G_{\delta}$ subset in the space of systems of linear differential equations with quasiperiodic skew-symmetric matrices and fix frequency module. There exists an open set of nonreducible systems in this space.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=55 |
| spellingShingle | Viktor Tkachenko On reducibility of linear quasiperiodic systems with bounded solutions Electronic Journal of Qualitative Theory of Differential Equations |
| title | On reducibility of linear quasiperiodic systems with bounded solutions |
| title_full | On reducibility of linear quasiperiodic systems with bounded solutions |
| title_fullStr | On reducibility of linear quasiperiodic systems with bounded solutions |
| title_full_unstemmed | On reducibility of linear quasiperiodic systems with bounded solutions |
| title_short | On reducibility of linear quasiperiodic systems with bounded solutions |
| title_sort | on reducibility of linear quasiperiodic systems with bounded solutions |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=55 |
| work_keys_str_mv | AT viktortkachenko onreducibilityoflinearquasiperiodicsystemswithboundedsolutions |