The Characteristic Matrix Function of a Dissipative Hamiltonian Operator
| dc.contributor.author | Ugurlu, Ekin | |
| dc.date.accessioned | 2020-12-25T07:56:45Z | |
| dc.date.accessioned | 2025-09-18T14:09:10Z | |
| dc.date.available | 2020-12-25T07:56:45Z | |
| dc.date.available | 2025-09-18T14:09:10Z | |
| dc.date.issued | 2021 | |
| dc.description | Ugurlu, Ekin/0000-0002-0540-8545 | en_US |
| dc.description.abstract | In this paper, we consider a singular dissipative even-order Hamiltonian operator with a finite number of transmission conditions. Using coordinate-free approach, we construct the characteristic matrix-function of the Cayley transform of the dissipative operator. Using the equivalence of completeness property of root functions of Cayley transform and dissipative operator, we prove some completeness theorems. Moreover, we construct an explicit form of the resolvent operator of dissipative operator. | en_US |
| dc.identifier.citation | Uğurlu, Ekin (2020). "The characteristic matrix function of a dissipative Hamiltonian operator", Mathematical Methods in the Applied Sciences, Vol. 44, No. 2, pp. 1343-1357. | en_US |
| dc.identifier.doi | 10.1002/mma.6834 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-85089910045 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.6834 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13300 | |
| 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 | Characteristic Function | en_US |
| dc.subject | Functional Embeddings | en_US |
| dc.subject | Spectral Analysis | en_US |
| dc.title | The Characteristic Matrix Function of a Dissipative Hamiltonian Operator | en_US |
| dc.title | The characteristic matrix function of a dissipative Hamiltonian operator | 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 | 1357 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 1343 | en_US |
| gdc.description.volume | 44 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | characteristic function | |
| gdc.oaire.keywords | Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. | |
| gdc.oaire.keywords | Boundary value problems with impulses for ordinary differential equations | |
| gdc.oaire.keywords | functional embeddings | |
| gdc.oaire.keywords | spectral analysis | |
| gdc.oaire.keywords | Weyl theory and its generalizations for ordinary differential equations | |
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