Periodic and bounded solutions of functional differential equations with small delays
We study existence and local uniqueness of periodic solutions of nonlinear functional differential equations of first order with small delays. Bifurcations of periodic and bounded solutions of particular periodically forced second-order equations with small delays are investigated as well.
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| Format: | Article |
| Language: | English |
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University of Szeged
2022-07-01
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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=9439 |
| _version_ | 1797830469111250944 |
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| author | Michal Fečkan Július Pačuta |
| author_facet | Michal Fečkan Július Pačuta |
| author_sort | Michal Fečkan |
| collection | DOAJ |
| description | We study existence and local uniqueness of periodic solutions of nonlinear functional differential equations of first order with small delays. Bifurcations of periodic and bounded solutions of particular periodically forced second-order equations with small delays are investigated as well. |
| first_indexed | 2024-04-09T13:36:35Z |
| format | Article |
| id | doaj.art-d5efcc5ca2294c568582202fe5bf186f |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:36:35Z |
| publishDate | 2022-07-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-d5efcc5ca2294c568582202fe5bf186f2023-05-09T07:53:12ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752022-07-0120223311010.14232/ejqtde.2022.1.339439Periodic and bounded solutions of functional differential equations with small delaysMichal Fečkan0Július Pačuta1Comenius University, Bratislava, SlovakiaComenius University in Bratislava, SlovakiaWe study existence and local uniqueness of periodic solutions of nonlinear functional differential equations of first order with small delays. Bifurcations of periodic and bounded solutions of particular periodically forced second-order equations with small delays are investigated as well.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=9439periodic and bounded solutionssmall delaytopological degreebifurcation |
| spellingShingle | Michal Fečkan Július Pačuta Periodic and bounded solutions of functional differential equations with small delays Electronic Journal of Qualitative Theory of Differential Equations periodic and bounded solutions small delay topological degree bifurcation |
| title | Periodic and bounded solutions of functional differential equations with small delays |
| title_full | Periodic and bounded solutions of functional differential equations with small delays |
| title_fullStr | Periodic and bounded solutions of functional differential equations with small delays |
| title_full_unstemmed | Periodic and bounded solutions of functional differential equations with small delays |
| title_short | Periodic and bounded solutions of functional differential equations with small delays |
| title_sort | periodic and bounded solutions of functional differential equations with small delays |
| topic | periodic and bounded solutions small delay topological degree bifurcation |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=9439 |
| work_keys_str_mv | AT michalfeckan periodicandboundedsolutionsoffunctionaldifferentialequationswithsmalldelays AT juliuspacuta periodicandboundedsolutionsoffunctionaldifferentialequationswithsmalldelays |