New Periodic Solutions for the Singular Hamiltonian System
By use of the Cerami-Palais-Smale condition, we generalize the classical Weierstrass minimizing theorem to the singular case by allowing functions which attain infinity at some values. As an application, we study certain singular second-order Hamiltonian systems with strong force potential at the or...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/703539 |
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| _version_ | 1832557103824240640 |
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| author | Yi Liao |
| author_facet | Yi Liao |
| author_sort | Yi Liao |
| collection | DOAJ |
| description | By use of the Cerami-Palais-Smale condition, we generalize the classical Weierstrass minimizing theorem to the singular case by allowing functions which attain infinity at some values. As an application, we study certain singular second-order Hamiltonian systems with strong force potential at the origin and show the existence of new periodic solutions with fixed periods. |
| format | Article |
| id | doaj-art-70e5e5b9ee074d6ab2d8d8ee28e3b085 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-70e5e5b9ee074d6ab2d8d8ee28e3b0852025-02-03T05:43:42ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/703539703539New Periodic Solutions for the Singular Hamiltonian SystemYi Liao0School of Business Administration, Southwestern University of Finance and Economics, Chengdu 611130, ChinaBy use of the Cerami-Palais-Smale condition, we generalize the classical Weierstrass minimizing theorem to the singular case by allowing functions which attain infinity at some values. As an application, we study certain singular second-order Hamiltonian systems with strong force potential at the origin and show the existence of new periodic solutions with fixed periods.http://dx.doi.org/10.1155/2014/703539 |
| spellingShingle | Yi Liao New Periodic Solutions for the Singular Hamiltonian System Abstract and Applied Analysis |
| title | New Periodic Solutions for the Singular Hamiltonian System |
| title_full | New Periodic Solutions for the Singular Hamiltonian System |
| title_fullStr | New Periodic Solutions for the Singular Hamiltonian System |
| title_full_unstemmed | New Periodic Solutions for the Singular Hamiltonian System |
| title_short | New Periodic Solutions for the Singular Hamiltonian System |
| title_sort | new periodic solutions for the singular hamiltonian system |
| url | http://dx.doi.org/10.1155/2014/703539 |
| work_keys_str_mv | AT yiliao newperiodicsolutionsforthesingularhamiltoniansystem |