On Dirichlet-Integrable Solutions of Left-Definite Hamiltonian Systems
| dc.contributor.author | Bairamov, Elgiz | |
| dc.contributor.author | Ugurlu, Ekin | |
| dc.date.accessioned | 2024-01-17T13:30:12Z | |
| dc.date.accessioned | 2025-09-18T12:04:36Z | |
| dc.date.available | 2024-01-17T13:30:12Z | |
| dc.date.available | 2025-09-18T12:04:36Z | |
| dc.date.issued | 2023 | |
| dc.description | Ugurlu, Ekin/0000-0002-0540-8545 | en_US |
| dc.description.abstract | This paper aims to share a method to handle left-definite Hamiltonian systems and to construct nested-ellipsoids related with the corresponding hermitian forms. We share a lower bound for the number of linearly independent Dirichlet-integrable solutions of the Hamiltonian systems with respect to some nonnegative matrices. Moreover, we share the corresponding Titchmarsh-Weyl functions. At the end of the paper we introduce a limit-point criterion. | en_US |
| dc.identifier.citation | Uğurlu, E.; Bairamov, E. (2023). "On Dirichlet-integrable solutions of left-definite Hamiltonian systems", Boletin de la Sociedad Matematica Mexicana, Vol.29, No.2. | en_US |
| dc.identifier.doi | 10.1007/s40590-023-00507-1 | |
| dc.identifier.issn | 1405-213X | |
| dc.identifier.issn | 2296-4495 | |
| dc.identifier.scopus | 2-s2.0-85158072882 | |
| dc.identifier.uri | https://doi.org/10.1007/s40590-023-00507-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10396 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer int Publ Ag | en_US |
| dc.relation.ispartof | Boletín de la Sociedad Matemática Mexicana | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Left-Definite Hamiltonian Systems | en_US |
| dc.subject | Quadratic Forms | en_US |
| dc.subject | Integrable-Square Solutions | en_US |
| dc.title | On Dirichlet-Integrable Solutions of Left-Definite Hamiltonian Systems | en_US |
| dc.title | On Dirichlet-integrable solutions of left-definite Hamiltonian systems | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Ugurlu, Ekin/0000-0002-0540-8545 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ugurlu, Ekin] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06810 Ankara, Turkiye; [Bairamov, Elgiz] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkiye | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 29 | en_US |
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| gdc.oaire.keywords | Hamilton's equations | |
| gdc.oaire.keywords | General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants | |
| gdc.oaire.keywords | left-definite Hamiltonian systems | |
| gdc.oaire.keywords | integrable-square solutions | |
| gdc.oaire.keywords | General spectral theory of ordinary differential operators | |
| gdc.oaire.keywords | quadratic forms | |
| gdc.oaire.keywords | Weyl theory and its generalizations for ordinary differential equations | |
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| gdc.virtual.author | Uğurlu, Ekin | |
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