On the Noether property of singular integral equations with Cauchy kernels on a rectifiable curve
The paper deals with the theory of a complete singular integral equation with a Cauchy kernel. The classes of curves and given functions are extended and generalizations of the classical Noether theorems are proved. As a consequence of these theorems, the Noether property is established for the oper...
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| Date: | 1993 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5943 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512166688325632 |
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| author | Plaksa, S. A. Плакса, С. А. Плакса, С. А. |
| author_facet | Plaksa, S. A. Плакса, С. А. Плакса, С. А. |
| author_sort | Plaksa, S. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:21:43Z |
| description | The paper deals with the theory of a complete singular integral equation with a Cauchy kernel. The classes of curves and given functions are extended and generalizations of the classical Noether theorems are proved. As a consequence of these theorems, the Noether property is established for the operators associated with this equation, which act into incomplete normed spaces. |
| first_indexed | 2026-03-24T03:24:28Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5943 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:24:28Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/16/f4b10d3fb5013898f9d72dbb9bc8ed16.pdf |
| spelling | umjimathkievua-article-59432020-03-19T09:21:43Z On the Noether property of singular integral equations with Cauchy kernels on a rectifiable curve О нетеровости сингулярных интегральных уравнений с ядром Коши на спрямляемой кривой Plaksa, S. A. Плакса, С. А. Плакса, С. А. The paper deals with the theory of a complete singular integral equation with a Cauchy kernel. The classes of curves and given functions are extended and generalizations of the classical Noether theorems are proved. As a consequence of these theorems, the Noether property is established for the operators associated with this equation, which act into incomplete normed spaces. Розширено класи кривих та заданих функцій в теорії повного сингулярного інтегрального рівняння з ядром Коші та доведено узагальнення класичних теорем Нетера. Як наслідок цих теорем доведено нетеровість асоційованих з зазначеним рівнянням операторів, які діють в неповні нормовані простори. Institute of Mathematics, NAS of Ukraine 1993-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5943 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 10 (1993); 1379–1389 Український математичний журнал; Том 45 № 10 (1993); 1379–1389 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5943/8569 https://umj.imath.kiev.ua/index.php/umj/article/view/5943/8570 Copyright (c) 1993 Plaksa S. A. |
| spellingShingle | Plaksa, S. A. Плакса, С. А. Плакса, С. А. On the Noether property of singular integral equations with Cauchy kernels on a rectifiable curve |
| title | On the Noether property of singular integral equations with Cauchy kernels on a rectifiable curve |
| title_alt | О нетеровости сингулярных интегральных уравнений с ядром Коши на спрямляемой кривой |
| title_full | On the Noether property of singular integral equations with Cauchy kernels on a rectifiable curve |
| title_fullStr | On the Noether property of singular integral equations with Cauchy kernels on a rectifiable curve |
| title_full_unstemmed | On the Noether property of singular integral equations with Cauchy kernels on a rectifiable curve |
| title_short | On the Noether property of singular integral equations with Cauchy kernels on a rectifiable curve |
| title_sort | on the noether property of singular integral equations with cauchy kernels on a rectifiable curve |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5943 |
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