Direct methods for the approximate solution of operator equations with nonzero kernel
We justify direct methods for the approximate solution of linear operator equations with nonzero kernels and apply these methods to the justification of projective methods for the approximate solution of standard singular integral equations with Cauchy kernels and positive index on the unit disk.
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| Datum: | 1998 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1998
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4836 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511018102292480 |
|---|---|
| author | Malyshev, К. I. Tikhonenko, N. Ya. Малышев, К. И. Тихоненко, Н. Я. Малышев, К. И. Тихоненко, Н. Я. |
| author_facet | Malyshev, К. I. Tikhonenko, N. Ya. Малышев, К. И. Тихоненко, Н. Я. Малышев, К. И. Тихоненко, Н. Я. |
| author_sort | Malyshev, К. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:15:33Z |
| description | We justify direct methods for the approximate solution of linear operator equations with nonzero kernels and apply these methods to the justification of projective methods for the approximate solution of standard singular integral equations with Cauchy kernels and positive index on the unit disk. |
| first_indexed | 2026-03-24T03:06:13Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4836 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:06:13Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/7a/cceb2c3bad1d66e5def1d56dc071987a.pdf |
| spelling | umjimathkievua-article-48362020-03-18T21:15:33Z Direct methods for the approximate solution of operator equations with nonzero kernel Прямые методы приближенного решения операторных уравнений с ненулевым ядром Malyshev, К. I. Tikhonenko, N. Ya. Малышев, К. И. Тихоненко, Н. Я. Малышев, К. И. Тихоненко, Н. Я. We justify direct methods for the approximate solution of linear operator equations with nonzero kernels and apply these methods to the justification of projective methods for the approximate solution of standard singular integral equations with Cauchy kernels and positive index on the unit disk. Робота присвячена обгрунтуванню прямих методів наближеного розв'язання лінійних операторних рівнянь з ненулевими ядрами та їх застосуванню до обгрунтування проекційних методів наближеного розв'язання нормального випадку сингулярних інтегральних рівнянь з ядром Коші на одиничному колі при позитивному індексі. Institute of Mathematics, NAS of Ukraine 1998-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4836 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 9 (1998); 1202–1213 Український математичний журнал; Том 50 № 9 (1998); 1202–1213 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4836/6371 https://umj.imath.kiev.ua/index.php/umj/article/view/4836/6372 Copyright (c) 1998 Malyshev К. I.; Tikhonenko N. Ya. |
| spellingShingle | Malyshev, К. I. Tikhonenko, N. Ya. Малышев, К. И. Тихоненко, Н. Я. Малышев, К. И. Тихоненко, Н. Я. Direct methods for the approximate solution of operator equations with nonzero kernel |
| title | Direct methods for the approximate solution of operator equations with nonzero kernel |
| title_alt | Прямые методы приближенного решения операторных
уравнений с ненулевым ядром |
| title_full | Direct methods for the approximate solution of operator equations with nonzero kernel |
| title_fullStr | Direct methods for the approximate solution of operator equations with nonzero kernel |
| title_full_unstemmed | Direct methods for the approximate solution of operator equations with nonzero kernel |
| title_short | Direct methods for the approximate solution of operator equations with nonzero kernel |
| title_sort | direct methods for the approximate solution of operator equations with nonzero kernel |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4836 |
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