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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Hindawi Limited
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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Article |
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doaj-52043fdc9831423ea5b4e061bb7484412020-11-25T00:32:53ZengHindawi LimitedJournal 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Long Yuhua |
| spellingShingle |
Long Yuhua Homoclinic Orbits for a Class of Noncoercive Discrete Hamiltonian Systems Journal of Applied Mathematics |
| author_facet |
Long Yuhua |
| author_sort |
Long Yuhua |
| title |
Homoclinic Orbits for a Class of Noncoercive Discrete Hamiltonian Systems |
| title_short |
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_sort |
homoclinic orbits for a class of noncoercive discrete hamiltonian systems |
| publisher |
Hindawi Limited |
| series |
Journal of Applied Mathematics |
| issn |
1110-757X 1687-0042 |
| publishDate |
2012-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2012/720139 |
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AT longyuhua homoclinicorbitsforaclassofnoncoercivediscretehamiltoniansystems |
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