Inverse scattering properties with Levinson formula for cubic eigenparameter-dependent discrete Dirac problem
UDC 517.9 We present some properties of zeros of the Jost function and of the scattering function. Then the uniqueness of the kernel and the continuity of the scattering function with appropriate Levinson-type formula are investigated for the inverse discrete D...
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| Date: | 2025 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2025
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7718 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512705343913984 |
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| author | Koprubasi, Turhan Mohapatra, R. N. Koprubasi, Turhan Mohapatra, R. N. |
| author_facet | Koprubasi, Turhan Mohapatra, R. N. Koprubasi, Turhan Mohapatra, R. N. |
| author_sort | Koprubasi, Turhan |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-04-16T12:01:18Z |
| description | UDC 517.9
We present some properties of zeros of the Jost function and of the scattering function. Then the uniqueness of the kernel and the continuity of the scattering function with appropriate Levinson-type formula are investigated for the inverse discrete Dirac problem based on the cubic eigenparameter-dependent boundary condition. |
| doi_str_mv | 10.3842/umzh.v76i9.7718 |
| first_indexed | 2026-03-24T03:33:02Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7718 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:33:02Z |
| publishDate | 2025 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
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| spelling | umjimathkievua-article-77182025-04-16T12:01:18Z Inverse scattering properties with Levinson formula for cubic eigenparameter-dependent discrete Dirac problem Inverse scattering properties with Levinson formula for cubic eigenparameter-dependent discrete Dirac problem Koprubasi, Turhan Mohapatra, R. N. Koprubasi, Turhan Mohapatra, R. N. Discrete Dirac equation, Eigenparameter, Scattering function, Levinson formula UDC 517.9 We present some properties of zeros of the Jost function and of the scattering function. Then the uniqueness of the kernel and the continuity of the scattering function with appropriate Levinson-type formula are investigated for the inverse discrete Dirac problem based on the cubic eigenparameter-dependent boundary condition. УДК 517.9 Обернені властивості розсіювання з формулою Левінсона для кубічної дискретної задачі Дірака, що залежить від власних параметрів Наведено деякі властивості нулів функції Йоста та функції розсіювання. Крім того, єдиність ядра та неперервність функції розсіювання з відповідною формулою типу Левінсона досліджено для оберненої дискретної задачі Дірака на основі кубічної граничної умови, що залежить від власних параметрів.  Institute of Mathematics, NAS of Ukraine 2025-04-16 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7718 10.3842/umzh.v76i9.7718 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 9 (2024); 1316 - 1330 Український математичний журнал; Том 76 № 9 (2024); 1316 - 1330 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7718/10165 Copyright (c) 2024 Turhan Koprubasi |
| spellingShingle | Koprubasi, Turhan Mohapatra, R. N. Koprubasi, Turhan Mohapatra, R. N. Inverse scattering properties with Levinson formula for cubic eigenparameter-dependent discrete Dirac problem |
| title | Inverse scattering properties with Levinson formula for cubic eigenparameter-dependent discrete Dirac problem |
| title_alt | Inverse scattering properties with Levinson formula for cubic eigenparameter-dependent discrete Dirac problem |
| title_full | Inverse scattering properties with Levinson formula for cubic eigenparameter-dependent discrete Dirac problem |
| title_fullStr | Inverse scattering properties with Levinson formula for cubic eigenparameter-dependent discrete Dirac problem |
| title_full_unstemmed | Inverse scattering properties with Levinson formula for cubic eigenparameter-dependent discrete Dirac problem |
| title_short | Inverse scattering properties with Levinson formula for cubic eigenparameter-dependent discrete Dirac problem |
| title_sort | inverse scattering properties with levinson formula for cubic eigenparameter-dependent discrete dirac problem |
| topic_facet | Discrete Dirac equation Eigenparameter Scattering function Levinson formula |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7718 |
| work_keys_str_mv | AT koprubasiturhan inversescatteringpropertieswithlevinsonformulaforcubiceigenparameterdependentdiscretediracproblem AT mohapatrarn inversescatteringpropertieswithlevinsonformulaforcubiceigenparameterdependentdiscretediracproblem AT koprubasiturhan inversescatteringpropertieswithlevinsonformulaforcubiceigenparameterdependentdiscretediracproblem AT mohapatrarn inversescatteringpropertieswithlevinsonformulaforcubiceigenparameterdependentdiscretediracproblem |