$\Psi$-bounded solutions for a Lyapunov matrix differential equation
It is proved a necessary and sufficient condition for the existence of at least one $\Psi$-bounded solution of a linear nonhomogeneous Lyapunov matrix differential equation.
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| Format: | Article |
| Language: | English |
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University of Szeged
2009-03-01
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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=370 |
| _version_ | 1797830742135275520 |
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| author | Aurel Diamandescu |
| author_facet | Aurel Diamandescu |
| author_sort | Aurel Diamandescu |
| collection | DOAJ |
| description | It is proved a necessary and sufficient condition for the existence of at least one $\Psi$-bounded solution of a linear nonhomogeneous Lyapunov matrix differential equation. |
| first_indexed | 2024-04-09T13:40:58Z |
| format | Article |
| id | doaj.art-d7c5d4588d6347449327c1b6a80b90fe |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:58Z |
| publishDate | 2009-03-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-d7c5d4588d6347449327c1b6a80b90fe2023-05-09T07:52:59ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752009-03-0120091711110.14232/ejqtde.2009.1.17370$\Psi$-bounded solutions for a Lyapunov matrix differential equationAurel Diamandescu0University of Craiova, Craiova, RomaniaIt is proved a necessary and sufficient condition for the existence of at least one $\Psi$-bounded solution of a linear nonhomogeneous Lyapunov matrix differential equation.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=370 |
| spellingShingle | Aurel Diamandescu $\Psi$-bounded solutions for a Lyapunov matrix differential equation Electronic Journal of Qualitative Theory of Differential Equations |
| title | $\Psi$-bounded solutions for a Lyapunov matrix differential equation |
| title_full | $\Psi$-bounded solutions for a Lyapunov matrix differential equation |
| title_fullStr | $\Psi$-bounded solutions for a Lyapunov matrix differential equation |
| title_full_unstemmed | $\Psi$-bounded solutions for a Lyapunov matrix differential equation |
| title_short | $\Psi$-bounded solutions for a Lyapunov matrix differential equation |
| title_sort | psi bounded solutions for a lyapunov matrix differential equation |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=370 |
| work_keys_str_mv | AT aureldiamandescu psiboundedsolutionsforalyapunovmatrixdifferentialequation |