Discrete Left-Definite Hamiltonian Systems
| dc.contributor.author | Ugurlu, Ekin | |
| dc.date.accessioned | 2023-12-05T11:44:58Z | |
| dc.date.accessioned | 2025-09-18T12:47:19Z | |
| dc.date.available | 2023-12-05T11:44:58Z | |
| dc.date.available | 2025-09-18T12:47:19Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | In this paper we consider an even-dimensional discrete Hamiltonian system on the set of nonnegative integers in the left-definite form. Using the inertia indices of the hermitian form related with the solutions of the equation we construct some maximal subspaces of the solution space. After constructing some ellipsoids preserving nesting properties we introduce a lower bound for the number of Dirichlet-summable solutions of the equation. Moreover we introduce a limit-point criterion. | en_US |
| dc.identifier.citation | Uğurlu, E. (2023). "Discrete left-definite hamiltonian systems", Journal of Applied Analysis and Computation, Vol.13, No.3, pp.1178-1189. | en_US |
| dc.identifier.doi | 10.11948/20210387 | |
| dc.identifier.issn | 2156-907X | |
| dc.identifier.issn | 2158-5644 | |
| dc.identifier.scopus | 2-s2.0-85160670740 | |
| dc.identifier.uri | https://doi.org/10.11948/20210387 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11764 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wilmington Scientific Publisher, Llc | en_US |
| dc.relation.ispartof | Journal of Applied Analysis & Computation | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Discrete Hamiltonian System | en_US |
| dc.subject | Weyl Theory | en_US |
| dc.subject | Left-Definite Equation | en_US |
| dc.subject | Sylvester'S Inertia Indices | en_US |
| dc.subject | Subspace Theory | en_US |
| dc.title | Discrete Left-Definite Hamiltonian Systems | en_US |
| dc.title | Discrete left-definite hamiltonian systems | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.institutional | Ugurlu, Ekin | |
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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 Etimesgut, Ankara, Turkiye | en_US |
| gdc.description.endpage | 1189 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 1178 | en_US |
| gdc.description.volume | 13 | en_US |
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| gdc.oaire.keywords | Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems | |
| gdc.oaire.keywords | subspace theory | |
| gdc.oaire.keywords | Difference and functional equations | |
| gdc.oaire.keywords | General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants | |
| gdc.oaire.keywords | discrete Hamiltonian system | |
| gdc.oaire.keywords | Weyl theory | |
| gdc.oaire.keywords | left-definite equation | |
| gdc.oaire.keywords | Sylvester's inertia indices | |
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