Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions
This paper is devoted to multiple solutions of generalized asymptotical linear Hamiltonian systems satisfying Bolza boundary conditions. We classify the linear Hamiltonian systems by the index theory and obtain the existence and multiplicity of solutions for the Hamiltonian systems, based on an appl...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/521059 |
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| _version_ | 1832566236246966272 |
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| author | Yuan Shan Baoqing Liu |
| author_facet | Yuan Shan Baoqing Liu |
| author_sort | Yuan Shan |
| collection | DOAJ |
| description | This paper is devoted to multiple solutions of generalized asymptotical linear Hamiltonian systems satisfying Bolza boundary conditions. We classify the linear Hamiltonian systems by the index theory and obtain the existence and multiplicity of solutions for the Hamiltonian systems, based on an application of the classical symmetric mountain pass lemma. |
| format | Article |
| id | doaj-art-daa2d3b74c89439e82ef17972450d835 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-daa2d3b74c89439e82ef17972450d8352025-02-03T01:04:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/521059521059Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary ConditionsYuan Shan0Baoqing Liu1School of Mathematical Sciences, Nanjing Normal University, Nanjing, Jiangsu 210023, ChinaSchool of Mathematical Sciences, Nanjing Normal University, Nanjing, Jiangsu 210023, ChinaThis paper is devoted to multiple solutions of generalized asymptotical linear Hamiltonian systems satisfying Bolza boundary conditions. We classify the linear Hamiltonian systems by the index theory and obtain the existence and multiplicity of solutions for the Hamiltonian systems, based on an application of the classical symmetric mountain pass lemma.http://dx.doi.org/10.1155/2013/521059 |
| spellingShingle | Yuan Shan Baoqing Liu Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions Journal of Applied Mathematics |
| title | Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions |
| title_full | Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions |
| title_fullStr | Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions |
| title_full_unstemmed | Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions |
| title_short | Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions |
| title_sort | multiple solutions for generalized asymptotical linear hamiltonian systems satisfying bolza boundary conditions |
| url | http://dx.doi.org/10.1155/2013/521059 |
| work_keys_str_mv | AT yuanshan multiplesolutionsforgeneralizedasymptoticallinearhamiltoniansystemssatisfyingbolzaboundaryconditions AT baoqingliu multiplesolutionsforgeneralizedasymptoticallinearhamiltoniansystemssatisfyingbolzaboundaryconditions |