Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line
We consider a generalized Cauchy–Riemann system with a rectilinear singular interval of the real axis. Schwarz boundary value problems for generalized analytic functions which satisfy the mentioned system are reduced to the Fredholm integral equations of the second kind under natural assumptions rel...
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| Veröffentlicht in: | Український математичний вісник |
|---|---|
| Datum: | 2019 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2019
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/169440 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line / S.A. Plaksa // Український математичний вісник. — 2019. — Т. 16, № 2. — С. 200-214. — Бібліогр.: 34 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862688773848956928 |
|---|---|
| author | Plaksa, S.A. |
| author_facet | Plaksa, S.A. |
| citation_txt | Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line / S.A. Plaksa // Український математичний вісник. — 2019. — Т. 16, № 2. — С. 200-214. — Бібліогр.: 34 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | We consider a generalized Cauchy–Riemann system with a rectilinear singular interval of the real axis. Schwarz boundary value problems for generalized analytic functions which satisfy the mentioned system are reduced to the Fredholm integral equations of the second kind under natural assumptions relating to the boundary of a domain and the given boundary functions.
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| first_indexed | 2025-12-07T16:09:02Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169440 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T16:09:02Z |
| publishDate | 2019 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Plaksa, S.A. 2020-06-13T10:18:22Z 2020-06-13T10:18:22Z 2019 Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line / S.A. Plaksa // Український математичний вісник. — 2019. — Т. 16, № 2. — С. 200-214. — Бібліогр.: 34 назв. — англ. 1810-3200 2010 MSC. 30G20, 35J70, 35J56, 31A10 https://nasplib.isofts.kiev.ua/handle/123456789/169440 We consider a generalized Cauchy–Riemann system with a rectilinear singular interval of the real axis. Schwarz boundary value problems for generalized analytic functions which satisfy the mentioned system are reduced to the Fredholm integral equations of the second kind under natural assumptions relating to the boundary of a domain and the given boundary functions. Dedicated to memory of Professor Bogdan Bojarski.
 This research is partially supported by the State Program of Ukraine (Project No. 0117U004077). en Інститут прикладної математики і механіки НАН України Український математичний вісник Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line Article published earlier |
| spellingShingle | Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line Plaksa, S.A. |
| title | Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line |
| title_full | Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line |
| title_fullStr | Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line |
| title_full_unstemmed | Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line |
| title_short | Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line |
| title_sort | schwarz boundary-value problems for solutions of a generalized cauchy-riemann system with a singular line |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169440 |
| work_keys_str_mv | AT plaksasa schwarzboundaryvalueproblemsforsolutionsofageneralizedcauchyriemannsystemwithasingularline |