Homoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian Systems
We establish a new existence result on homoclinic solutions for a second-order nonperiodic Hamiltonian systems. This homoclinic solution is obtained as a limit of solutions of a certain sequence of nil-boundary value problems which are obtained by the minimax methods. Some recent results in the lite...
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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/10.1155/2013/417020 |
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| _version_ | 1832562508872810496 |
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| author | Qiang Zheng |
| author_facet | Qiang Zheng |
| author_sort | Qiang Zheng |
| collection | DOAJ |
| description | We establish a new existence result on homoclinic solutions for a second-order nonperiodic Hamiltonian systems. This homoclinic solution is obtained as a limit of solutions of a certain sequence of nil-boundary value problems which are obtained by the minimax methods. Some recent results in the literature are generalized and extended. |
| format | Article |
| id | doaj-art-fcf66b6b56c941239a463d15839243c5 |
| 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-fcf66b6b56c941239a463d15839243c52025-02-03T01:22:32ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/417020417020Homoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian SystemsQiang Zheng0College of Computer Science and Technology, Shandong University of Technology, Zibo, Shandong 255049, ChinaWe establish a new existence result on homoclinic solutions for a second-order nonperiodic Hamiltonian systems. This homoclinic solution is obtained as a limit of solutions of a certain sequence of nil-boundary value problems which are obtained by the minimax methods. Some recent results in the literature are generalized and extended.http://dx.doi.org/10.1155/2013/417020 |
| spellingShingle | Qiang Zheng Homoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian Systems Abstract and Applied Analysis |
| title | Homoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian Systems |
| title_full | Homoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian Systems |
| title_fullStr | Homoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian Systems |
| title_full_unstemmed | Homoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian Systems |
| title_short | Homoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian Systems |
| title_sort | homoclinic solutions for a second order nonperiodic asymptotically linear hamiltonian systems |
| url | http://dx.doi.org/10.1155/2013/417020 |
| work_keys_str_mv | AT qiangzheng homoclinicsolutionsforasecondordernonperiodicasymptoticallylinearhamiltoniansystems |