On $\Psi$-stability of nonlinear Lyapunov matrix differential equations
We prove necessary and sufficient conditions for $\Psi -$ (uniform) stability of the trivial solution of a nonlinear Lyapunov matrix differential equation.
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| Format: | Article |
| Language: | English |
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University of Szeged
2009-09-01
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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=441 |
| _version_ | 1797830744821727232 |
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| author | Aurel Diamandescu |
| author_facet | Aurel Diamandescu |
| author_sort | Aurel Diamandescu |
| collection | DOAJ |
| description | We prove necessary and sufficient conditions for $\Psi -$ (uniform) stability of the trivial solution of a nonlinear Lyapunov matrix differential equation. |
| first_indexed | 2024-04-09T13:41:00Z |
| format | Article |
| id | doaj.art-e38bbb6907c5493696991eb179a67dbb |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:41:00Z |
| publishDate | 2009-09-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-e38bbb6907c5493696991eb179a67dbb2023-05-09T07:52:59ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752009-09-0120095411810.14232/ejqtde.2009.1.54441On $\Psi$-stability of nonlinear Lyapunov matrix differential equationsAurel Diamandescu0University of Craiova, Craiova, RomaniaWe prove necessary and sufficient conditions for $\Psi -$ (uniform) stability of the trivial solution of a nonlinear Lyapunov matrix differential equation.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=441 |
| spellingShingle | Aurel Diamandescu On $\Psi$-stability of nonlinear Lyapunov matrix differential equations Electronic Journal of Qualitative Theory of Differential Equations |
| title | On $\Psi$-stability of nonlinear Lyapunov matrix differential equations |
| title_full | On $\Psi$-stability of nonlinear Lyapunov matrix differential equations |
| title_fullStr | On $\Psi$-stability of nonlinear Lyapunov matrix differential equations |
| title_full_unstemmed | On $\Psi$-stability of nonlinear Lyapunov matrix differential equations |
| title_short | On $\Psi$-stability of nonlinear Lyapunov matrix differential equations |
| title_sort | on psi stability of nonlinear lyapunov matrix differential equations |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=441 |
| work_keys_str_mv | AT aureldiamandescu onpsistabilityofnonlinearlyapunovmatrixdifferentialequations |