The Inverse Problem for the Impulsive Differential Pencil
| dc.contributor.author | Khalili, Yasser | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2025-05-11T17:04:57Z | |
| dc.date.available | 2025-05-11T17:04:57Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | In this paper, we investigate the inverse problem for the impulsive differential pencil in the finite interval. Taking Mochizuki-Trooshin's theorem, it is proved that two potentials and the boundary conditions are uniquely given by one spectra together with a set of values of eigenfunctions in the situation of x = 1/2. Moreover, applying Gesztesy-Simon's theorem, we demonstrate that if the potentials are assumed on the interval [(1-theta)/2, 1], where theta is an element of (0, 1), a finite number of spectrum are enough to give potentials on [0, 1] and other boundary condition. | en_US |
| dc.description.sponsorship | Sari Agricultural Sciences and Natural Resources University in Iran [03-1401-10] | en_US |
| dc.description.sponsorship | The financial support of this study was provided by Sari Agricultural Sciences and Natural Resources University in Iran in the form of research project no. 03-1401-10. | en_US |
| dc.identifier.doi | 10.1134/S1995080224600341 | |
| dc.identifier.issn | 1995-0802 | |
| dc.identifier.issn | 1818-9962 | |
| dc.identifier.scopus | 2-s2.0-85193389186 | |
| dc.identifier.uri | https://doi.org/10.1134/S1995080224600341 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/9646 | |
| dc.language.iso | en | en_US |
| dc.publisher | Maik Nauka/interperiodica/springer | en_US |
| dc.relation.ispartof | Lobachevskii Journal of Mathematics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Inverse Problem | en_US |
| dc.subject | Pencil | en_US |
| dc.subject | Impulsive | en_US |
| dc.subject | Spectrum | en_US |
| dc.title | The Inverse Problem for the Impulsive Differential Pencil | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Khalili, Yasser/Aaa-4461-2022 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Khalili, Yasser] Sari Agr Sci & Nat Resources Univ, Dept Basic Sci, Sari 578, Iran; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkiye | en_US |
| gdc.description.endpage | 709 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 700 | en_US |
| gdc.description.volume | 45 | en_US |
| gdc.description.woscitationindex | Emerging Sources Citation Index | |
| gdc.description.wosquality | N/A | |
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| gdc.oaire.keywords | Sturm-Liouville theory | |
| gdc.oaire.keywords | impulsive | |
| gdc.oaire.keywords | Inverse problems involving ordinary differential equations | |
| gdc.oaire.keywords | inverse problem | |
| gdc.oaire.keywords | Discontinuous ordinary differential equations | |
| gdc.oaire.keywords | General spectral theory of ordinary differential operators | |
| gdc.oaire.keywords | pencil | |
| gdc.oaire.keywords | spectrum | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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