A criterion of solvability of resonant equations and construction of their solutions
UDC 517.983 We establish conditions for the existence and determine the general structure of solutions of resonant and iterative equations in a Banach space and their algorithmic realization.
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| Date: | 2026 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1517 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860507313904812032 |
|---|---|
| author | Boichuk, О. A. Makarov, V. L. Feruk, V. A. Бойчук, О. А. Макаров, В. Л. Ферук, В. А. |
| author_facet | Boichuk, О. A. Makarov, V. L. Feruk, V. A. Бойчук, О. А. Макаров, В. Л. Ферук, В. А. |
| author_sort | Boichuk, О. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-02-09T14:34:17Z |
| description | UDC 517.983
We establish conditions for the existence and determine the general structure of solutions of resonant and iterative equations in a Banach
space and their algorithmic realization. |
| doi_str_mv | 10.3842/umzh.v71i10.1517 |
| first_indexed | 2026-03-24T02:07:20Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-1517 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian |
| last_indexed | 2026-03-24T02:07:20Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/01/9611441e324444a4f3ad10824feb3801 |
| spelling | umjimathkievua-article-15172026-02-09T14:34:17Z A criterion of solvability of resonant equations and construction of their solutions Критерій розв’язності резонансних рівнянь та побудова їхніх розв’язків Boichuk, О. A. Makarov, V. L. Feruk, V. A. Бойчук, О. А. Макаров, В. Л. Ферук, В. А. UDC 517.983 We establish conditions for the existence and determine the general structure of solutions of resonant and iterative equations in a Banach space and their algorithmic realization. УДК 517.983 Отримано умови існування та загальну структуру розв’язків резонансних і ітераційних рівнянь у банаховому просторі та їхню алгоритмічну реалізацію. Institute of Mathematics, NAS of Ukraine 2026-02-09 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/1517 10.3842/umzh.v71i10.1517 Ukrains’kyi Matematychnyi Zhurnal; Vol. 71 No. 10 (2019); 1321-1330 Український математичний журнал; Том 71 № 10 (2019); 1321-1330 1027-3190 uk https://umj.imath.kiev.ua/index.php/umj/article/view/1517/501 Copyright (c) 2019 Boichuk О. A.; Makarov V. L.; Feruk V. A. |
| spellingShingle | Boichuk, О. A. Makarov, V. L. Feruk, V. A. Бойчук, О. А. Макаров, В. Л. Ферук, В. А. A criterion of solvability of resonant equations and construction of their solutions |
| title | A criterion of solvability of resonant equations
and construction of their solutions |
| title_alt | Критерій розв’язності резонансних рівнянь
та побудова їхніх розв’язків |
| title_full | A criterion of solvability of resonant equations
and construction of their solutions |
| title_fullStr | A criterion of solvability of resonant equations
and construction of their solutions |
| title_full_unstemmed | A criterion of solvability of resonant equations
and construction of their solutions |
| title_short | A criterion of solvability of resonant equations
and construction of their solutions |
| title_sort | criterion of solvability of resonant equations
and construction of their solutions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/1517 |
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