On the Maximal Subspaces of Discrete Hamiltonian Systems
| dc.contributor.author | Bairamov, Elgiz | |
| dc.contributor.author | Ugurlu, Ekin | |
| dc.date.accessioned | 2024-07-04T10:05:17Z | |
| dc.date.accessioned | 2025-09-18T12:48:33Z | |
| dc.date.available | 2024-07-04T10:05:17Z | |
| dc.date.available | 2025-09-18T12:48:33Z | |
| dc.date.issued | 2024 | |
| dc.description | Ugurlu, Ekin/0000-0002-0540-8545 | en_US |
| dc.description.abstract | In this paper, we consider a discrete Hamiltonian system on nonnegative integers, and using Sylvester's inertia indices theory, we construct maximal subspaces on which the Hermitian form has a certain sign. After constructing nested ellipsoids, we introduce a lower bound for the number of linearly independent summable-square solutions of the discrete equation. Finally, we provide a limit-point criterion. | en_US |
| dc.description.sponsorship | Cankaya University | en_US |
| dc.description.sponsorship | No Statement Available | en_US |
| dc.identifier.citation | Uğurlu, Ekin; Bairamov, Elgiz (2024). "On the Maximal Subspaces of Discrete Hamiltonian Systems", Bulletin of the Malaysian Mathematical Sciences Society, Vol. 47, No. 3. | en_US |
| dc.identifier.doi | 10.1007/s40840-024-01674-8 | |
| dc.identifier.issn | 0126-6705 | |
| dc.identifier.issn | 2180-4206 | |
| dc.identifier.scopus | 2-s2.0-85188524560 | |
| dc.identifier.uri | https://doi.org/10.1007/s40840-024-01674-8 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12102 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springernature | en_US |
| dc.relation.ispartof | Bulletin of the Malaysian Mathematical Sciences Society | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Discrete Equations | en_US |
| dc.subject | Hamiltonian Systems | en_US |
| dc.subject | Sylvester'S Inertia Indices | en_US |
| dc.subject | Subspace Theory | en_US |
| dc.subject | Weyl'S Theory | en_US |
| dc.title | On the Maximal Subspaces of Discrete Hamiltonian Systems | en_US |
| dc.title | On the Maximal Subspaces of Discrete Hamiltonian Systems | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Ugurlu, Ekin/0000-0002-0540-8545 | |
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| gdc.author.wosid | Bairamov, Elgiz/Aaf-6575-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ugurlu, Ekin] Cankaya Univ, Dept Math, TR-06810 Ankara, Turkiye; [Bairamov, Elgiz] Ankara Univ, Dept Math, TR-06100 Ankara, Turkiye | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 47 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
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| gdc.oaire.keywords | Numerical Analysis | |
| gdc.oaire.keywords | Symplectic Methods | |
| gdc.oaire.keywords | Linear subspace | |
| gdc.oaire.keywords | Mathematical optimization | |
| gdc.oaire.keywords | Pure mathematics | |
| gdc.oaire.keywords | Spectral Theory of Differential Operators | |
| gdc.oaire.keywords | Discrete mathematics | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Hamiltonian Systems | |
| gdc.oaire.keywords | Computational Theory and Mathematics | |
| gdc.oaire.keywords | Combinatorics | |
| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | Computer Science | |
| gdc.oaire.keywords | Numerical Integration Methods for Differential Equations | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Hamiltonian system | |
| gdc.oaire.keywords | Mathematical Physics | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Matrix Algorithms and Iterative Methods | |
| gdc.oaire.keywords | Hamiltonian (control theory) | |
| gdc.oaire.keywords | Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators | |
| gdc.oaire.keywords | Weyl theory and its generalizations for ordinary differential equations | |
| gdc.oaire.keywords | discrete equations | |
| gdc.oaire.keywords | Hamiltonian systems | |
| gdc.oaire.keywords | Weyl's theory | |
| gdc.oaire.keywords | Sylvester's inertia indices | |
| gdc.oaire.keywords | subspace theory | |
| gdc.oaire.keywords | Discrete version of topics in analysis | |
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| gdc.virtual.author | Uğurlu, Ekin | |
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