Periodic Solutions for Second Order Hamiltonian Systems with Impulses via the Local Linking Theorem
A class of second order impulsive Hamiltonian systems are considered. By applying a local linking theorem, we establish the new criterion to guarantee that this impulsive Hamiltonian system has at least one nontrivial T-periodic solution under local superquadratic condition. This result generalizes...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/250870 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550062575583232 |
|---|---|
| author | Longsheng Bao Binxiang Dai |
| author_facet | Longsheng Bao Binxiang Dai |
| author_sort | Longsheng Bao |
| collection | DOAJ |
| description | A class of second order impulsive Hamiltonian systems are considered. By applying a local linking theorem, we establish the new criterion to guarantee that this impulsive Hamiltonian system has at least one nontrivial T-periodic solution under local superquadratic condition. This result generalizes and improves some existing results in the known literature. |
| format | Article |
| id | doaj-art-51b213585fbd49b09e20ef3f4e8f9372 |
| 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-51b213585fbd49b09e20ef3f4e8f93722025-02-03T06:07:47ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/250870250870Periodic Solutions for Second Order Hamiltonian Systems with Impulses via the Local Linking TheoremLongsheng Bao0Binxiang Dai1School of Mathematics and Statistics, Central South University, Changsha, Hunan 410075, ChinaSchool of Mathematics and Statistics, Central South University, Changsha, Hunan 410075, ChinaA class of second order impulsive Hamiltonian systems are considered. By applying a local linking theorem, we establish the new criterion to guarantee that this impulsive Hamiltonian system has at least one nontrivial T-periodic solution under local superquadratic condition. This result generalizes and improves some existing results in the known literature.http://dx.doi.org/10.1155/2014/250870 |
| spellingShingle | Longsheng Bao Binxiang Dai Periodic Solutions for Second Order Hamiltonian Systems with Impulses via the Local Linking Theorem Abstract and Applied Analysis |
| title | Periodic Solutions for Second Order Hamiltonian Systems with Impulses via the Local Linking Theorem |
| title_full | Periodic Solutions for Second Order Hamiltonian Systems with Impulses via the Local Linking Theorem |
| title_fullStr | Periodic Solutions for Second Order Hamiltonian Systems with Impulses via the Local Linking Theorem |
| title_full_unstemmed | Periodic Solutions for Second Order Hamiltonian Systems with Impulses via the Local Linking Theorem |
| title_short | Periodic Solutions for Second Order Hamiltonian Systems with Impulses via the Local Linking Theorem |
| title_sort | periodic solutions for second order hamiltonian systems with impulses via the local linking theorem |
| url | http://dx.doi.org/10.1155/2014/250870 |
| work_keys_str_mv | AT longshengbao periodicsolutionsforsecondorderhamiltoniansystemswithimpulsesviathelocallinkingtheorem AT binxiangdai periodicsolutionsforsecondorderhamiltoniansystemswithimpulsesviathelocallinkingtheorem |