A nonzero solution for bounded selfadjoint operator equations and homoclinic orbits of Hamiltonian systems
We obtain an existence theorem of nonzero solution for a class of bounded selfadjoint operator equations. The main result contains as a special case the existence result of a nontrivial homoclinic orbit of a class of Hamiltonian systems by Coti Zelati, Ekeland and Séré. We also investigate the exis...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2021-09-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8862 |
| _version_ | 1797830429566304256 |
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| author | Mingliang Song Runzhen Li |
| author_facet | Mingliang Song Runzhen Li |
| author_sort | Mingliang Song |
| collection | DOAJ |
| description | We obtain an existence theorem of nonzero solution for a class of bounded selfadjoint operator equations. The main result contains as a special case the existence result of a nontrivial homoclinic orbit of a class of Hamiltonian systems by Coti Zelati, Ekeland and Séré. We also investigate the existence of nontrivial homoclinic orbit of indefinite second order systems as another application of the theorem. |
| first_indexed | 2024-04-09T13:37:07Z |
| format | Article |
| id | doaj.art-435220a6b8404ef296b2429ba4dd49ad |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:37:07Z |
| publishDate | 2021-09-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-435220a6b8404ef296b2429ba4dd49ad2023-05-09T07:53:11ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752021-09-0120216811310.14232/ejqtde.2021.1.688862A nonzero solution for bounded selfadjoint operator equations and homoclinic orbits of Hamiltonian systemsMingliang Song0Runzhen Li1Mathematics and Information Technology School, Jiangsu Second Normal University, P.R. ChinaSchool of Mathematical Sciences, Nanjing Normal University, Nanjing, P.R. ChinaWe obtain an existence theorem of nonzero solution for a class of bounded selfadjoint operator equations. The main result contains as a special case the existence result of a nontrivial homoclinic orbit of a class of Hamiltonian systems by Coti Zelati, Ekeland and Séré. We also investigate the existence of nontrivial homoclinic orbit of indefinite second order systems as another application of the theorem.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8862bounded selfadjoint operator equationsnonzero solutionhomoclinic orbithamiltonian systemsindefinite second order systems |
| spellingShingle | Mingliang Song Runzhen Li A nonzero solution for bounded selfadjoint operator equations and homoclinic orbits of Hamiltonian systems Electronic Journal of Qualitative Theory of Differential Equations bounded selfadjoint operator equations nonzero solution homoclinic orbit hamiltonian systems indefinite second order systems |
| title | A nonzero solution for bounded selfadjoint operator equations and homoclinic orbits of Hamiltonian systems |
| title_full | A nonzero solution for bounded selfadjoint operator equations and homoclinic orbits of Hamiltonian systems |
| title_fullStr | A nonzero solution for bounded selfadjoint operator equations and homoclinic orbits of Hamiltonian systems |
| title_full_unstemmed | A nonzero solution for bounded selfadjoint operator equations and homoclinic orbits of Hamiltonian systems |
| title_short | A nonzero solution for bounded selfadjoint operator equations and homoclinic orbits of Hamiltonian systems |
| title_sort | nonzero solution for bounded selfadjoint operator equations and homoclinic orbits of hamiltonian systems |
| topic | bounded selfadjoint operator equations nonzero solution homoclinic orbit hamiltonian systems indefinite second order systems |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8862 |
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