Lagrangian Stability of a Class of Second-Order Periodic Systems
We study the following second-order periodic system: x′′+V′(x)+p(t)=0 where V(x) has a singularity and p(t)=p(t+1). Under some assumptions on the V(x) and p(t), by Moser's twist theorem we obtain the existence of quasiperiodic solutions and boundedness of all the solutions.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/106214 |
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| _version_ | 1832561154657878016 |
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| author | Shunjun Jiang Fang Fang |
| author_facet | Shunjun Jiang Fang Fang |
| author_sort | Shunjun Jiang |
| collection | DOAJ |
| description | We study the following second-order periodic system: x′′+V′(x)+p(t)=0 where V(x) has a singularity and p(t)=p(t+1). Under some assumptions on the V(x) and p(t), by Moser's twist theorem we obtain the existence of quasiperiodic solutions and boundedness of all the solutions. |
| format | Article |
| id | doaj-art-7e672e53cb5e41f0bbb2e7f755ce3826 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7e672e53cb5e41f0bbb2e7f755ce38262025-02-03T01:25:51ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/106214106214Lagrangian Stability of a Class of Second-Order Periodic SystemsShunjun Jiang0Fang Fang1College of Sciences, Nanjing University of Technology, Nanjing 210009, ChinaDepartment of Basic Course, Nanjing Institute of Technology, Nanjing 211167, ChinaWe study the following second-order periodic system: x′′+V′(x)+p(t)=0 where V(x) has a singularity and p(t)=p(t+1). Under some assumptions on the V(x) and p(t), by Moser's twist theorem we obtain the existence of quasiperiodic solutions and boundedness of all the solutions.http://dx.doi.org/10.1155/2011/106214 |
| spellingShingle | Shunjun Jiang Fang Fang Lagrangian Stability of a Class of Second-Order Periodic Systems Abstract and Applied Analysis |
| title | Lagrangian Stability of a Class of Second-Order Periodic Systems |
| title_full | Lagrangian Stability of a Class of Second-Order Periodic Systems |
| title_fullStr | Lagrangian Stability of a Class of Second-Order Periodic Systems |
| title_full_unstemmed | Lagrangian Stability of a Class of Second-Order Periodic Systems |
| title_short | Lagrangian Stability of a Class of Second-Order Periodic Systems |
| title_sort | lagrangian stability of a class of second order periodic systems |
| url | http://dx.doi.org/10.1155/2011/106214 |
| work_keys_str_mv | AT shunjunjiang lagrangianstabilityofaclassofsecondorderperiodicsystems AT fangfang lagrangianstabilityofaclassofsecondorderperiodicsystems |