Bounded solutions for a class of Hamiltonian systems
We obtain solutions bounded for all $t \in (-\infty,\infty)$ of systems of ordinary differential equations as limits of the solutions of the corresponding Dirichlet problems on $(-L,L)$, with $L \to \infty$. Using the variational approach, we derive a priori estimates for the corresponding Dirich...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2018-09-01
|
| 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=6436 |
| _version_ | 1797830505431826432 |
|---|---|
| author | Philip Korman Guanying Peng |
| author_facet | Philip Korman Guanying Peng |
| author_sort | Philip Korman |
| collection | DOAJ |
| description | We obtain solutions bounded for all $t \in (-\infty,\infty)$ of systems of ordinary differential equations as limits of the solutions of the corresponding Dirichlet problems on $(-L,L)$, with $L \to \infty$. Using the variational approach, we derive a priori estimates for the corresponding Dirichlet problems, allowing passage to the limit, via a diagonal sequence. |
| first_indexed | 2024-04-09T13:38:16Z |
| format | Article |
| id | doaj.art-5277062368f84835ace714c37af6e9e1 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:38:16Z |
| publishDate | 2018-09-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-5277062368f84835ace714c37af6e9e12023-05-09T07:53:08ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752018-09-012018811710.14232/ejqtde.2018.1.816436Bounded solutions for a class of Hamiltonian systemsPhilip Korman0Guanying Peng1Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio, USADepartment of Mathematics, University of Arizona, Tucson, Arizona, USAWe obtain solutions bounded for all $t \in (-\infty,\infty)$ of systems of ordinary differential equations as limits of the solutions of the corresponding Dirichlet problems on $(-L,L)$, with $L \to \infty$. Using the variational approach, we derive a priori estimates for the corresponding Dirichlet problems, allowing passage to the limit, via a diagonal sequence.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6436solutions bounded for all $t$a priori estimates |
| spellingShingle | Philip Korman Guanying Peng Bounded solutions for a class of Hamiltonian systems Electronic Journal of Qualitative Theory of Differential Equations solutions bounded for all $t$ a priori estimates |
| title | Bounded solutions for a class of Hamiltonian systems |
| title_full | Bounded solutions for a class of Hamiltonian systems |
| title_fullStr | Bounded solutions for a class of Hamiltonian systems |
| title_full_unstemmed | Bounded solutions for a class of Hamiltonian systems |
| title_short | Bounded solutions for a class of Hamiltonian systems |
| title_sort | bounded solutions for a class of hamiltonian systems |
| topic | solutions bounded for all $t$ a priori estimates |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6436 |
| work_keys_str_mv | AT philipkorman boundedsolutionsforaclassofhamiltoniansystems AT guanyingpeng boundedsolutionsforaclassofhamiltoniansystems |