Left-Definite Hamiltonian Systems and Corresponding Nested Circles
| dc.contributor.author | Ugurlu, Ekin | |
| dc.date.accessioned | 2024-01-03T13:27:14Z | |
| dc.date.accessioned | 2025-09-18T14:10:34Z | |
| dc.date.available | 2024-01-03T13:27:14Z | |
| dc.date.available | 2025-09-18T14:10:34Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | This work aims to construct the Titchmarsh-Weyl M(A)-theory for an even-dimensional left-definite Hamiltonian system. For this purpose, we introduce a suitable Lagrange formula and selfadjoint boundary conditions including the spectral parameter A. Then we obtain circle equations having nesting properties. Using the intersection point belonging to all the circles we share a lower bound for the number of Dirichlet-integrable solutions of the system. | en_US |
| dc.identifier.citation | Uğurlu, E. (2023). "Left-definite Hamiltonian systems and corresponding nested circles", Turkish Journal of Mathematics, Vol.47, No.4, pp.1276-1287. | en_US |
| dc.identifier.doi | 10.55730/1300-0098.3427 | |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.issn | 1303-6149 | |
| dc.identifier.scopus | 2-s2.0-85160343829 | |
| dc.identifier.uri | https://doi.org/10.55730/1300-0098.3427 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13729 | |
| dc.language.iso | en | en_US |
| dc.publisher | Tubitak Scientific & Technological Research Council Turkey | en_US |
| dc.relation.ispartof | Turkish Journal of Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Left-Definite Equations | en_US |
| dc.subject | Hamiltonian Systems | en_US |
| dc.subject | Weyl'S Theory | en_US |
| dc.title | Left-Definite Hamiltonian Systems and Corresponding Nested Circles | en_US |
| dc.title | Left-definite Hamiltonian systems and corresponding nested circles | 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, Ankara, Turkiye | en_US |
| gdc.description.endpage | 1287 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 1276 | en_US |
| gdc.description.volume | 47 | en_US |
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| gdc.oaire.keywords | left-definite equations | |
| gdc.oaire.keywords | General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants | |
| gdc.oaire.keywords | Weyl's theory | |
| gdc.oaire.keywords | Hamiltonian systems | |
| 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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