Homoclinic Orbits for a Class of Noncoercive Discrete Hamiltonian Systems
A class of first-order noncoercive discrete Hamiltonian systems are considered. Based on a generalized mountain pass theorem, some existence results of homoclinic orbits are obtained when the discrete Hamiltonian system is not periodical and need not satisfy the global Ambrosetti-Rabinowitz conditio...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/720139 |
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| _version_ | 1832562735782559744 |
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| author | Long Yuhua |
| author_facet | Long Yuhua |
| author_sort | Long Yuhua |
| collection | DOAJ |
| description | A class of first-order noncoercive discrete Hamiltonian systems are considered. Based on a generalized mountain pass theorem, some existence results of homoclinic orbits are obtained when the discrete Hamiltonian system is not periodical and need not satisfy the global Ambrosetti-Rabinowitz condition. |
| format | Article |
| id | doaj-art-52043fdc9831423ea5b4e061bb748441 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-52043fdc9831423ea5b4e061bb7484412025-02-03T01:21:58ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/720139720139Homoclinic Orbits for a Class of Noncoercive Discrete Hamiltonian SystemsLong Yuhua0School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaA class of first-order noncoercive discrete Hamiltonian systems are considered. Based on a generalized mountain pass theorem, some existence results of homoclinic orbits are obtained when the discrete Hamiltonian system is not periodical and need not satisfy the global Ambrosetti-Rabinowitz condition.http://dx.doi.org/10.1155/2012/720139 |
| spellingShingle | Long Yuhua Homoclinic Orbits for a Class of Noncoercive Discrete Hamiltonian Systems Journal of Applied Mathematics |
| title | Homoclinic Orbits for a Class of Noncoercive Discrete Hamiltonian Systems |
| title_full | Homoclinic Orbits for a Class of Noncoercive Discrete Hamiltonian Systems |
| title_fullStr | Homoclinic Orbits for a Class of Noncoercive Discrete Hamiltonian Systems |
| title_full_unstemmed | Homoclinic Orbits for a Class of Noncoercive Discrete Hamiltonian Systems |
| title_short | Homoclinic Orbits for a Class of Noncoercive Discrete Hamiltonian Systems |
| title_sort | homoclinic orbits for a class of noncoercive discrete hamiltonian systems |
| url | http://dx.doi.org/10.1155/2012/720139 |
| work_keys_str_mv | AT longyuhua homoclinicorbitsforaclassofnoncoercivediscretehamiltoniansystems |