Periodic solutions of second-order nonautonomous dynamical systems
<p/> <p>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 n...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2006-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2006/25104 |
| _version_ | 1818016007816478720 |
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| author | Schechter Martin |
| author_facet | Schechter Martin |
| author_sort | Schechter Martin |
| collection | DOAJ |
| description | <p/> <p>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.</p> |
| first_indexed | 2024-04-14T07:05:53Z |
| format | Article |
| id | doaj.art-8a2ebca9487f4261bec8b4fe42ad50d8 |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-04-14T07:05:53Z |
| publishDate | 2006-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-8a2ebca9487f4261bec8b4fe42ad50d82022-12-22T02:06:33ZengSpringerOpenBoundary Value Problems1687-27621687-27702006-01-012006125104Periodic solutions of second-order nonautonomous dynamical systemsSchechter Martin<p/> <p>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.</p>http://www.boundaryvalueproblems.com/content/2006/25104 |
| spellingShingle | Schechter Martin 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://www.boundaryvalueproblems.com/content/2006/25104 |
| work_keys_str_mv | AT schechtermartin periodicsolutionsofsecondordernonautonomousdynamicalsystems |