Periodic solutions of second-order nonautonomous dynamical systems
We study the existence of periodic solutions for second-order nonautonomous dynamical systems. We give four sets of hypotheses which guarantee the existence of solutions. We were able to weaken the hypotheses considerably from those used previously for such systems. We employ a new saddle point theo...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2006-08-01
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| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/BVP/2006/25104 |
| _version_ | 1818882027626168320 |
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| author | Martin Schechter |
| author_facet | Martin Schechter |
| author_sort | Martin Schechter |
| collection | DOAJ |
| description | We study the existence of periodic solutions for second-order nonautonomous dynamical systems. We give four sets of hypotheses which guarantee the existence of solutions. We were able to weaken the hypotheses considerably from those used previously for such systems. We employ a new saddle point theorem using linking methods. |
| first_indexed | 2024-12-19T15:11:14Z |
| format | Article |
| id | doaj.art-482c08aa20a84cf59914ca42dda641b8 |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-19T15:11:14Z |
| publishDate | 2006-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-482c08aa20a84cf59914ca42dda641b82022-12-21T20:16:17ZengSpringerOpenBoundary Value Problems1687-27621687-27702006-08-01200610.1155/BVP/2006/25104Periodic solutions of second-order nonautonomous dynamical systemsMartin SchechterWe study the existence of periodic solutions for second-order nonautonomous dynamical systems. We give four sets of hypotheses which guarantee the existence of solutions. We were able to weaken the hypotheses considerably from those used previously for such systems. We employ a new saddle point theorem using linking methods.http://dx.doi.org/10.1155/BVP/2006/25104 |
| spellingShingle | Martin Schechter Periodic solutions of second-order nonautonomous dynamical systems Boundary Value Problems |
| title | Periodic solutions of second-order nonautonomous dynamical systems |
| title_full | Periodic solutions of second-order nonautonomous dynamical systems |
| title_fullStr | Periodic solutions of second-order nonautonomous dynamical systems |
| title_full_unstemmed | Periodic solutions of second-order nonautonomous dynamical systems |
| title_short | Periodic solutions of second-order nonautonomous dynamical systems |
| title_sort | periodic solutions of second order nonautonomous dynamical systems |
| url | http://dx.doi.org/10.1155/BVP/2006/25104 |
| work_keys_str_mv | AT martinschechter periodicsolutionsofsecondordernonautonomousdynamicalsystems |