A New Insight To the Hamiltonian Systems With a Finite Number of Spectral Parameters
| dc.contributor.author | Ugurlu, Ekin | |
| dc.date.accessioned | 2023-11-22T11:56:26Z | |
| dc.date.accessioned | 2025-09-18T14:10:28Z | |
| dc.date.available | 2023-11-22T11:56:26Z | |
| dc.date.available | 2025-09-18T14:10:28Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | In this article, we introduce a new first-order differential equation containing a finite number of spectral parameters and some results on the solutions of this equation. In particular, with the aid of the nested-circles approach we share a lower bound for the number of linearly independent square-integrable solutions of the equation. We share some limit-point criterias. Moreover, we show that some known and unknown scalar and matrix differential equations can be embedded into this new first-order equation. Using the obtained results we present some additional results for some system of scalar multiparameter differential equations. Finally, we share some relations between the characteristic function of a regular boundary-value problem and the kernel of related integral operator. | en_US |
| dc.identifier.citation | Ekin, Uğurlu. (2023). "A new insight to the Hamiltonian systems with a finite number of spectral parameters", Quaestiones Mathematicae, Vol.46, No. 5, pp. 887-908. | en_US |
| dc.identifier.doi | 10.2989/16073606.2022.2045643 | |
| dc.identifier.issn | 1607-3606 | |
| dc.identifier.issn | 1727-933X | |
| dc.identifier.scopus | 2-s2.0-85128077810 | |
| dc.identifier.uri | https://doi.org/10.2989/16073606.2022.2045643 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13692 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis Ltd | en_US |
| dc.relation.ispartof | Quaestiones Mathematicae | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Primary | en_US |
| dc.subject | Secondary | en_US |
| dc.subject | First-Order System | en_US |
| dc.subject | Weyl'S Theory | en_US |
| dc.subject | Multiparameter Eigenvalue Problem | en_US |
| dc.title | A New Insight To the Hamiltonian Systems With a Finite Number of Spectral Parameters | en_US |
| dc.title | A new insight to the Hamiltonian systems with a finite number of spectral parameters | 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, TR-06790 Ankara, Turkey | en_US |
| gdc.description.endpage | 908 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 887 | en_US |
| gdc.description.volume | 46 | en_US |
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| gdc.oaire.keywords | First-order system; Weyl's theory; multiparameter eigenvalue problem. | |
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