Forced oscillations for delay motion equations on manifolds
We prove an existence result for $T$-periodic solutions of a $T$-periodic second order delay differential equation on a boundaryless compact manifold with nonzero Euler-Poincare characteristic. The approach is based on an existence result recently obtained by the authors for first order delay differ...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2007-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2007/62/abstr.html |
| _version_ | 1811229979743092736 |
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| author | Pierluigi Benevieri Alessandro Calamai Massimo Furi Maria Patrizia Pera |
| author_facet | Pierluigi Benevieri Alessandro Calamai Massimo Furi Maria Patrizia Pera |
| author_sort | Pierluigi Benevieri |
| collection | DOAJ |
| description | We prove an existence result for $T$-periodic solutions of a $T$-periodic second order delay differential equation on a boundaryless compact manifold with nonzero Euler-Poincare characteristic. The approach is based on an existence result recently obtained by the authors for first order delay differential equations on compact manifolds with boundary. |
| first_indexed | 2024-04-12T10:22:30Z |
| format | Article |
| id | doaj.art-375e3866e52246d5a1c9c89806503f73 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T10:22:30Z |
| publishDate | 2007-04-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-375e3866e52246d5a1c9c89806503f732022-12-22T03:37:04ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912007-04-0120076215Forced oscillations for delay motion equations on manifoldsPierluigi BenevieriAlessandro CalamaiMassimo FuriMaria Patrizia PeraWe prove an existence result for $T$-periodic solutions of a $T$-periodic second order delay differential equation on a boundaryless compact manifold with nonzero Euler-Poincare characteristic. The approach is based on an existence result recently obtained by the authors for first order delay differential equations on compact manifolds with boundary.http://ejde.math.txstate.edu/Volumes/2007/62/abstr.htmlDelay differential equationsForced oscillationsperiodic solutionscompact manifoldsEuler-Poincare characteristicfixed point index. |
| spellingShingle | Pierluigi Benevieri Alessandro Calamai Massimo Furi Maria Patrizia Pera Forced oscillations for delay motion equations on manifolds Electronic Journal of Differential Equations Delay differential equations Forced oscillations periodic solutions compact manifolds Euler-Poincare characteristic fixed point index. |
| title | Forced oscillations for delay motion equations on manifolds |
| title_full | Forced oscillations for delay motion equations on manifolds |
| title_fullStr | Forced oscillations for delay motion equations on manifolds |
| title_full_unstemmed | Forced oscillations for delay motion equations on manifolds |
| title_short | Forced oscillations for delay motion equations on manifolds |
| title_sort | forced oscillations for delay motion equations on manifolds |
| topic | Delay differential equations Forced oscillations periodic solutions compact manifolds Euler-Poincare characteristic fixed point index. |
| url | http://ejde.math.txstate.edu/Volumes/2007/62/abstr.html |
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