Boundedness of Solutions for a Class of Second-Order Periodic Systems
In this paper we study the following second-order periodic system: x′′+V′(x)+p(x,t)=0, where V(x) has a singularity. Under some assumptions on the V(x) and p(x,t) by Ortega’ small twist theorem, we obtain the existence of quasi-periodic solutions and boundedness of all the solutions.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/267572 |
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| _version_ | 1832549655821418496 |
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| author | Shunjun Jiang Yan Ding |
| author_facet | Shunjun Jiang Yan Ding |
| author_sort | Shunjun Jiang |
| collection | DOAJ |
| description | In this paper we study the following second-order periodic system: x′′+V′(x)+p(x,t)=0,
where V(x) has a singularity. Under some assumptions on the V(x) and p(x,t) by Ortega’ small
twist theorem, we obtain the existence of quasi-periodic solutions and boundedness of all the
solutions. |
| format | Article |
| id | doaj-art-621cb3d9d31e438d913cd1ad0cd68c07 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-621cb3d9d31e438d913cd1ad0cd68c072025-02-03T06:10:48ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/267572267572Boundedness of Solutions for a Class of Second-Order Periodic SystemsShunjun Jiang0Yan Ding1College of Sciences, Nanjing University of Technology, Nanjing 210009, ChinaOverseas Education College, Nanjing University of Technology, Nanjing 210009, ChinaIn this paper we study the following second-order periodic system: x′′+V′(x)+p(x,t)=0, where V(x) has a singularity. Under some assumptions on the V(x) and p(x,t) by Ortega’ small twist theorem, we obtain the existence of quasi-periodic solutions and boundedness of all the solutions.http://dx.doi.org/10.1155/2013/267572 |
| spellingShingle | Shunjun Jiang Yan Ding Boundedness of Solutions for a Class of Second-Order Periodic Systems Abstract and Applied Analysis |
| title | Boundedness of Solutions for a Class of Second-Order Periodic Systems |
| title_full | Boundedness of Solutions for a Class of Second-Order Periodic Systems |
| title_fullStr | Boundedness of Solutions for a Class of Second-Order Periodic Systems |
| title_full_unstemmed | Boundedness of Solutions for a Class of Second-Order Periodic Systems |
| title_short | Boundedness of Solutions for a Class of Second-Order Periodic Systems |
| title_sort | boundedness of solutions for a class of second order periodic systems |
| url | http://dx.doi.org/10.1155/2013/267572 |
| work_keys_str_mv | AT shunjunjiang boundednessofsolutionsforaclassofsecondorderperiodicsystems AT yanding boundednessofsolutionsforaclassofsecondorderperiodicsystems |