Homoclinic Solutions for a Class of the Second-Order Impulsive Hamiltonian Systems
This paper is concerned with the existence of homoclinic solutions for a class of the second order impulsive Hamiltonian systems. By employing the Mountain Pass Theorem, we demonstrate that the limit of a 2kT-periodic approximation solution is a homoclinic solution of our problem.
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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/10.1155/2013/583107 |
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| _version_ | 1832565226198794240 |
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| author | Jingli Xie Zhiguo Luo Guoping Chen |
| author_facet | Jingli Xie Zhiguo Luo Guoping Chen |
| author_sort | Jingli Xie |
| collection | DOAJ |
| description | This paper is concerned with the existence of homoclinic solutions for a class of the second order impulsive Hamiltonian systems. By employing the Mountain Pass Theorem, we demonstrate that the limit of a 2kT-periodic approximation solution is a homoclinic solution of our problem. |
| format | Article |
| id | doaj-art-41973746cc5e4f3a9f7fa5f9819569ef |
| 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-41973746cc5e4f3a9f7fa5f9819569ef2025-02-03T01:08:55ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/583107583107Homoclinic Solutions for a Class of the Second-Order Impulsive Hamiltonian SystemsJingli Xie0Zhiguo Luo1Guoping Chen2College of Mathematics and Statistics, Jishou University, Jishou, Hunan 416000, ChinaDepartment of Mathematics, Hunan Normal University, Changsha, Hunan 410081, ChinaCollege of Mathematics and Statistics, Jishou University, Jishou, Hunan 416000, ChinaThis paper is concerned with the existence of homoclinic solutions for a class of the second order impulsive Hamiltonian systems. By employing the Mountain Pass Theorem, we demonstrate that the limit of a 2kT-periodic approximation solution is a homoclinic solution of our problem.http://dx.doi.org/10.1155/2013/583107 |
| spellingShingle | Jingli Xie Zhiguo Luo Guoping Chen Homoclinic Solutions for a Class of the Second-Order Impulsive Hamiltonian Systems Abstract and Applied Analysis |
| title | Homoclinic Solutions for a Class of the Second-Order Impulsive Hamiltonian Systems |
| title_full | Homoclinic Solutions for a Class of the Second-Order Impulsive Hamiltonian Systems |
| title_fullStr | Homoclinic Solutions for a Class of the Second-Order Impulsive Hamiltonian Systems |
| title_full_unstemmed | Homoclinic Solutions for a Class of the Second-Order Impulsive Hamiltonian Systems |
| title_short | Homoclinic Solutions for a Class of the Second-Order Impulsive Hamiltonian Systems |
| title_sort | homoclinic solutions for a class of the second order impulsive hamiltonian systems |
| url | http://dx.doi.org/10.1155/2013/583107 |
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