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 |
| Summary: | <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> |
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| ISSN: | 1687-2762 1687-2770 |