On Homoclinic Solutions for First-Order Superquadratic Hamiltonian Systems with Spectrum Point Zero
The existence and multiplicity of homoclinic solutions for a class of first-order periodic Hamiltonian systems with spectrum point zero are obtained. The proof is based on two critical point theorems for strongly indefinite functionals. Some recent results are improved and extended.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/313690 |
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| _version_ | 1832550969717555200 |
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| author | Feng Li Juntao Sun |
| author_facet | Feng Li Juntao Sun |
| author_sort | Feng Li |
| collection | DOAJ |
| description | The existence and multiplicity of homoclinic solutions for a class of first-order periodic Hamiltonian systems with spectrum point zero are obtained. The proof is based on two critical point theorems for strongly indefinite functionals. Some recent results are improved and extended. |
| format | Article |
| id | doaj-art-4cccbc7437dd435095bc88ffa9432ce0 |
| 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-4cccbc7437dd435095bc88ffa9432ce02025-02-03T06:05:20ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/313690313690On Homoclinic Solutions for First-Order Superquadratic Hamiltonian Systems with Spectrum Point ZeroFeng Li0Juntao Sun1School of Science, Linyi University, Linyi, Shandong 276005, ChinaSchool of Science, Shandong University of Technology, Zibo, Shandong 255049, ChinaThe existence and multiplicity of homoclinic solutions for a class of first-order periodic Hamiltonian systems with spectrum point zero are obtained. The proof is based on two critical point theorems for strongly indefinite functionals. Some recent results are improved and extended.http://dx.doi.org/10.1155/2014/313690 |
| spellingShingle | Feng Li Juntao Sun On Homoclinic Solutions for First-Order Superquadratic Hamiltonian Systems with Spectrum Point Zero Abstract and Applied Analysis |
| title | On Homoclinic Solutions for First-Order Superquadratic Hamiltonian Systems with Spectrum Point Zero |
| title_full | On Homoclinic Solutions for First-Order Superquadratic Hamiltonian Systems with Spectrum Point Zero |
| title_fullStr | On Homoclinic Solutions for First-Order Superquadratic Hamiltonian Systems with Spectrum Point Zero |
| title_full_unstemmed | On Homoclinic Solutions for First-Order Superquadratic Hamiltonian Systems with Spectrum Point Zero |
| title_short | On Homoclinic Solutions for First-Order Superquadratic Hamiltonian Systems with Spectrum Point Zero |
| title_sort | on homoclinic solutions for first order superquadratic hamiltonian systems with spectrum point zero |
| url | http://dx.doi.org/10.1155/2014/313690 |
| work_keys_str_mv | AT fengli onhomoclinicsolutionsforfirstordersuperquadratichamiltoniansystemswithspectrumpointzero AT juntaosun onhomoclinicsolutionsforfirstordersuperquadratichamiltoniansystemswithspectrumpointzero |