Extensions of a Minimal Third-Order Formally Symmetric Operator
| dc.contributor.author | Ugurlu, Ekin | |
| dc.date.accessioned | 2020-11-11T10:11:29Z | |
| dc.date.accessioned | 2025-09-18T15:44:15Z | |
| dc.date.available | 2020-11-11T10:11:29Z | |
| dc.date.available | 2025-09-18T15:44:15Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | In this paper, we consider some regular boundary value problems generated by a third-order differential equation and some boundary conditions. In particular, we construct maximal self-adjoint, maximal dissipative and maximal accumulative extensions of the minimal operator. Further using Lax-Phillips scattering theory and Sz.-Nagy-Foias characteristic function theory we prove a completeness theorem. | en_US |
| dc.identifier.citation | Uğurlu, Ekin. "Extensions of a Minimal Third-Order Formally Symmetric Operator", BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, Vol. 43, No. 1, pp. 453-470, (2020). | en_US |
| dc.identifier.doi | 10.1007/s40840-018-0696-8 | |
| dc.identifier.issn | 0126-6705 | |
| dc.identifier.issn | 2180-4206 | |
| dc.identifier.scopus | 2-s2.0-85069822379 | |
| dc.identifier.uri | https://doi.org/10.1007/s40840-018-0696-8 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14222 | |
| dc.language.iso | en | en_US |
| dc.publisher | Malaysian Mathematical Sciences Soc | en_US |
| dc.relation.ispartof | Bulletin of the Malaysian Mathematical Sciences Society | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Third-Order Operator | en_US |
| dc.subject | Extension | en_US |
| dc.subject | Dilation | en_US |
| dc.subject | Spectral Analysis | en_US |
| dc.title | Extensions of a Minimal Third-Order Formally Symmetric Operator | en_US |
| dc.title | Extensions of a Minimal Third-Order Formally Symmetric Operator | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| 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-06530 Ankara, Turkey | en_US |
| gdc.description.endpage | 470 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 453 | en_US |
| gdc.description.volume | 43 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
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| gdc.oaire.keywords | Sz.-Nagy-Foiaş characteristic functions | |
| gdc.oaire.keywords | third order operator | |
| gdc.oaire.keywords | Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. | |
| gdc.oaire.keywords | Scattering theory of linear operators | |
| gdc.oaire.keywords | extension | |
| gdc.oaire.keywords | General theory of ordinary differential operators | |
| gdc.oaire.keywords | Linear boundary value problems for ordinary differential equations | |
| gdc.oaire.keywords | Dilations, extensions, compressions of linear operators | |
| gdc.oaire.keywords | spectral theory | |
| gdc.oaire.keywords | Lax-Phillips scattering theory | |
| gdc.oaire.keywords | Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators | |
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