Oscillation and stability of first-order delay differential equations with retarded impulses
In this paper, we study both the oscillation and the stability of impulsive differential equations when not only the continuous argument but also the impulse condition involves delay. The results obtained in the present paper improve and generalize the main results of the key references in this subj...
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| Format: | Article |
| Language: | English |
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University of Szeged
2015-10-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3894 |
| _version_ | 1797830588409839616 |
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| author | Başak Karpuz |
| author_facet | Başak Karpuz |
| author_sort | Başak Karpuz |
| collection | DOAJ |
| description | In this paper, we study both the oscillation and the stability of impulsive differential equations when not only the continuous argument but also the impulse condition involves delay. The results obtained in the present paper improve and generalize the main results of the key references in this subject. An illustrative example is also provided. |
| first_indexed | 2024-04-09T13:39:34Z |
| format | Article |
| id | doaj.art-8b7c8bb7d3204eb2a8eb374dfb3e65bd |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:39:34Z |
| publishDate | 2015-10-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-8b7c8bb7d3204eb2a8eb374dfb3e65bd2023-05-09T07:53:05ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752015-10-0120156611710.14232/ejqtde.2015.1.663894Oscillation and stability of first-order delay differential equations with retarded impulsesBaşak Karpuz0Department of Mathematics, Faculty of Science, Tinaztepe Campus, Dokuz Eylul University, 35160 Buca, Izmir, TurkeyIn this paper, we study both the oscillation and the stability of impulsive differential equations when not only the continuous argument but also the impulse condition involves delay. The results obtained in the present paper improve and generalize the main results of the key references in this subject. An illustrative example is also provided.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3894oscillationstabilityuniform stabilitydelay differential equationsimpulse effects |
| spellingShingle | Başak Karpuz Oscillation and stability of first-order delay differential equations with retarded impulses Electronic Journal of Qualitative Theory of Differential Equations oscillation stability uniform stability delay differential equations impulse effects |
| title | Oscillation and stability of first-order delay differential equations with retarded impulses |
| title_full | Oscillation and stability of first-order delay differential equations with retarded impulses |
| title_fullStr | Oscillation and stability of first-order delay differential equations with retarded impulses |
| title_full_unstemmed | Oscillation and stability of first-order delay differential equations with retarded impulses |
| title_short | Oscillation and stability of first-order delay differential equations with retarded impulses |
| title_sort | oscillation and stability of first order delay differential equations with retarded impulses |
| topic | oscillation stability uniform stability delay differential equations impulse effects |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3894 |
| work_keys_str_mv | AT basakkarpuz oscillationandstabilityoffirstorderdelaydifferentialequationswithretardedimpulses |