The Spectral Analysis of a System of First-Order Equations With Dissipative Boundary Conditions
| dc.contributor.author | Ugurlu, Ekin | |
| dc.date.accessioned | 2023-02-09T06:42:43Z | |
| dc.date.accessioned | 2025-09-18T14:09:04Z | |
| dc.date.available | 2023-02-09T06:42:43Z | |
| dc.date.available | 2025-09-18T14:09:04Z | |
| dc.date.issued | 2021 | |
| dc.description | Ugurlu, Ekin/0000-0002-0540-8545 | en_US |
| dc.description.abstract | This paper aims to share some completeness theorems related with a boundary value problem generated by a system of equations and non-self-adjoint (dissipative) boundary conditions. Indeed, we consider a system of equations that contains a continuous analogous of the orthogonal polynomials on the unit circle. Constructing the characteristic function of the related dissipative operator, we share some completeness theorems. Moreover, we give an explicit form of the self-adjoint dilation of the dissipative operator. | en_US |
| dc.identifier.citation | Uğurlu, Ekin (2021). "The spectral analysis of a system of first-order equations with dissipative boundary conditions", Mathematical Methods in the Applied Sciences, Vol. 44, no. 14, pp. 11046-11058. | en_US |
| dc.identifier.doi | 10.1002/mma.7467 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.scopus | 2-s2.0-85105312936 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.7467 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13257 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Completeness Theorem | en_US |
| dc.subject | Dissipative Operator | en_US |
| dc.subject | Orthogonal Polynomials On The Unit Circle | en_US |
| dc.title | The Spectral Analysis of a System of First-Order Equations With Dissipative Boundary Conditions | en_US |
| dc.title | The spectral analysis of a system of first-order equations with dissipative boundary conditions | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Ugurlu, Ekin/0000-0002-0540-8545 | |
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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 | 11058 | en_US |
| gdc.description.issue | 14 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 11046 | en_US |
| gdc.description.volume | 44 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
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| gdc.oaire.keywords | dissipative operator | |
| gdc.oaire.keywords | orthogonal polynomials on the unit circle | |
| gdc.oaire.keywords | Linear accretive operators, dissipative operators, etc. | |
| gdc.oaire.keywords | Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis | |
| gdc.oaire.keywords | completeness theorem | |
| gdc.oaire.keywords | Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators | |
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