A note on stability of impulsive scalar delay differential equations
For a class of scalar delay differential equations with impulses and satisfying a Yorke-type condition, criteria for the global asymptotic stability of the zero solution are established. These equations possess a non-delayed feedback term, which will be used to refine the general results on stabilit...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2016-09-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5287 |
| _version_ | 1797830581890842624 |
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| author | Teresa Faria José Oliveira |
| author_facet | Teresa Faria José Oliveira |
| author_sort | Teresa Faria |
| collection | DOAJ |
| description | For a class of scalar delay differential equations with impulses and satisfying a Yorke-type condition, criteria for the global asymptotic stability of the zero solution are established. These equations possess a non-delayed feedback term, which will be used to refine the general results on stability presented in recent literature. The usual requirements on the impulses are also relaxed. As an application, sufficient conditions for the global attractivity of a periodic solution for an impulsive periodic model are given. |
| first_indexed | 2024-04-09T13:38:23Z |
| format | Article |
| id | doaj.art-6c9c910d0bc94753949975bceca3f825 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:38:23Z |
| publishDate | 2016-09-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-6c9c910d0bc94753949975bceca3f8252023-05-09T07:53:06ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752016-09-0120166911410.14232/ejqtde.2016.1.695287A note on stability of impulsive scalar delay differential equationsTeresa Faria0José Oliveira1Universidade de Lisboa, Lisboa, PortugalUniversidade do Minho, PortugalFor a class of scalar delay differential equations with impulses and satisfying a Yorke-type condition, criteria for the global asymptotic stability of the zero solution are established. These equations possess a non-delayed feedback term, which will be used to refine the general results on stability presented in recent literature. The usual requirements on the impulses are also relaxed. As an application, sufficient conditions for the global attractivity of a periodic solution for an impulsive periodic model are given.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5287delay differential equationimpulsesyorke conditionglobal attractivity |
| spellingShingle | Teresa Faria José Oliveira A note on stability of impulsive scalar delay differential equations Electronic Journal of Qualitative Theory of Differential Equations delay differential equation impulses yorke condition global attractivity |
| title | A note on stability of impulsive scalar delay differential equations |
| title_full | A note on stability of impulsive scalar delay differential equations |
| title_fullStr | A note on stability of impulsive scalar delay differential equations |
| title_full_unstemmed | A note on stability of impulsive scalar delay differential equations |
| title_short | A note on stability of impulsive scalar delay differential equations |
| title_sort | note on stability of impulsive scalar delay differential equations |
| topic | delay differential equation impulses yorke condition global attractivity |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5287 |
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