Correct Solvability of the Cauchy Problem for One Equation of Integral Form
We describe spaces of test functions that generalize S-type and W-type spaces. In these spaces, we establish the complete solvability of the Cauchy problem for one equation of integral form with Bessel fractional integro-differential operator.
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| Date: | 2004 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2004
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3742 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509875324321792 |
|---|---|
| author | Litovchenko, V. A. Літовченко, В. А. |
| author_facet | Litovchenko, V. A. Літовченко, В. А. |
| author_sort | Litovchenko, V. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:07:09Z |
| description | We describe spaces of test functions that generalize S-type and W-type spaces. In these spaces, we establish the complete solvability of the Cauchy problem for one equation of integral form with Bessel fractional integro-differential operator. |
| first_indexed | 2026-03-24T02:48:03Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3742 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:48:03Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/91/bdadb78b33dd2f35a789c34c9f9e7891.pdf |
| spelling | umjimathkievua-article-37422020-03-18T20:07:09Z Correct Solvability of the Cauchy Problem for One Equation of Integral Form Коректна розв'язність задачі Коші для одного рівняння інтегрального вигляду Litovchenko, V. A. Літовченко, В. А. We describe spaces of test functions that generalize S-type and W-type spaces. In these spaces, we establish the complete solvability of the Cauchy problem for one equation of integral form with Bessel fractional integro-differential operator. Описано простори основних функцій, які є певним узагальненням просторів типу S та W, і у цих просторах встановлено цілковиту розв'язність задачі Коші для одного рівняння інтегрального вигляду з оператором Бесселя дробового інтегро-диференціювания. Institute of Mathematics, NAS of Ukraine 2004-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3742 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 2 (2004); 185-197 Український математичний журнал; Том 56 № 2 (2004); 185-197 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3742/4207 https://umj.imath.kiev.ua/index.php/umj/article/view/3742/4208 Copyright (c) 2004 Litovchenko V. A. |
| spellingShingle | Litovchenko, V. A. Літовченко, В. А. Correct Solvability of the Cauchy Problem for One Equation of Integral Form |
| title | Correct Solvability of the Cauchy Problem for One Equation of Integral Form |
| title_alt | Коректна розв'язність задачі Коші для одного рівняння інтегрального вигляду |
| title_full | Correct Solvability of the Cauchy Problem for One Equation of Integral Form |
| title_fullStr | Correct Solvability of the Cauchy Problem for One Equation of Integral Form |
| title_full_unstemmed | Correct Solvability of the Cauchy Problem for One Equation of Integral Form |
| title_short | Correct Solvability of the Cauchy Problem for One Equation of Integral Form |
| title_sort | correct solvability of the cauchy problem for one equation of integral form |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3742 |
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