On Quantum Star Graphs With Eigenparameter Dependent Vertex Conditions
| dc.contributor.author | Ugurlu, Ekin | |
| dc.contributor.author | Mutlu, Gokhan | |
| dc.date.accessioned | 2024-01-17T13:32:51Z | |
| dc.date.accessioned | 2025-09-18T14:09:11Z | |
| dc.date.available | 2024-01-17T13:32:51Z | |
| dc.date.available | 2025-09-18T14:09:11Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | We investigate the spectral properties of two different boundary value problems on a compact star graph in which the vertex conditions are dependent on the spectral parameter. We treat these boundary value problems as eigenvalue problems in some extended Hilbert spaces by associating them with vector-valued operators. We prove that the corresponding operators are self-adjoint. We construct the characteristic functions of these eigenvalue problems and prove that the corresponding operators have discrete spectrum. Moreover, we present some examples where we construct fundamental solutions and derive the resolvent operators. | en_US |
| dc.identifier.citation | Mutlu, G.; Uğurlu, E. (2023). "On quantum star graphs with eigenparameter dependent vertex conditions", Analysis and Mathematical Physics, Vol.13, No.4. | en_US |
| dc.identifier.doi | 10.1007/s13324-023-00822-w | |
| dc.identifier.issn | 1664-2368 | |
| dc.identifier.issn | 1664-235X | |
| dc.identifier.scopus | 2-s2.0-85164169173 | |
| dc.identifier.uri | https://doi.org/10.1007/s13324-023-00822-w | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13306 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Basel Ag | en_US |
| dc.relation.ispartof | Analysis and Mathematical Physics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Quantum Graphs | en_US |
| dc.subject | Eigenparameter Dependent Boundary Conditions | en_US |
| dc.subject | Spectrum | en_US |
| dc.subject | Resolvent | en_US |
| dc.subject | Self-Adjoint Operators | en_US |
| dc.title | On Quantum Star Graphs With Eigenparameter Dependent Vertex Conditions | en_US |
| dc.title | On quantum star graphs with eigenparameter dependent vertex conditions | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.author.wosid | Mutlu, Gökhan/Abb-1103-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Mutlu, Gokhan] Gazi Univ, Fac Sci, Dept Math, TR-06560 Ankara, Turkiye; [Mutlu, Gokhan] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England; [Ugurlu, Ekin] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06810 Ankara, Turkiye | 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.volume | 13 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Boundary value problems on graphs and networks for ordinary differential equations | |
| gdc.oaire.keywords | Parameter dependent boundary value problems for ordinary differential equations | |
| gdc.oaire.keywords | self-adjoint operators | |
| gdc.oaire.keywords | quantum graphs | |
| gdc.oaire.keywords | eigenparameter dependent boundary conditions | |
| gdc.oaire.keywords | Boundary eigenvalue problems for ordinary differential equations | |
| gdc.oaire.keywords | resolvent | |
| gdc.oaire.keywords | Spectrum, resolvent | |
| gdc.oaire.keywords | Selfadjoint operator theory in quantum theory, including spectral analysis | |
| gdc.oaire.keywords | spectrum | |
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| gdc.virtual.author | Uğurlu, Ekin | |
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