Convolution-type integral equation with two kernels and its abstract analog
We consider an integral equation of the convolution type with two kernels, generated by functions from some Banach algebras, and a linear equation with two coefficients in abstract rings with factorial pairs of sub-rings. Theorems and formulas have been proved, characterizing the general relation of...
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| Date: | 1992 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
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Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8035 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512879061499904 |
|---|---|
| author | Poletaev , G. S. Полетаев , Г. С. |
| author_facet | Poletaev , G. S. Полетаев , Г. С. |
| author_sort | Poletaev , G. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-12-28T09:25:14Z |
| description | We consider an integral equation of the convolution type with two kernels, generated by functions from some Banach algebras, and a linear equation with two coefficients in abstract rings with factorial pairs of sub-rings. Theorems and formulas have been proved, characterizing the general relation of the solvability problem of the equations with the factorization properties of elements constructed from the kernels and coefficients. |
| first_indexed | 2026-03-24T03:35:48Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8035 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:35:48Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d3/15ed7435b3012d8452e5a218c1ac2ad3.pdf |
| spelling | umjimathkievua-article-80352023-12-28T09:25:14Z Convolution-type integral equation with two kernels and its abstract analog Интегральное уравнение типа свертки с двумя ядрами и его абстрактный аналог Poletaev , G. S. Полетаев , Г. С. We consider an integral equation of the convolution type with two kernels, generated by functions from some Banach algebras, and a linear equation with two coefficients in abstract rings with factorial pairs of sub-rings. Theorems and formulas have been proved, characterizing the general relation of the solvability problem of the equations with the factorization properties of elements constructed from the kernels and coefficients. Рассмотрено интегральное уравнение типа свертки с двумя ядрами, порождаемыми функциями из различных банаховых алгебр, и линейное уравнение с двумя коэффициентами в абстрактных кольцах с факторизационными парами подколец. Установлены теоремы и формулы, характеризующие общую связь проблемы их разрешимости с факторизуемостью элементов, строящихся по ядрам, коэффициентам. Розглянуто інтегральне рівняння типу згортки з двома ядрами, які породжені функціями з різних банахових алгебр, та лінійне рівняння з двома коефіцієнтами в абстрактних кільцях з факторизаційними парами підкілець. Встановлені теореми та формули, що характеризують загальний зв’язок проблеми їх розв’язності з факторизовністю елементів, що будуються за ядрами, коефіцієнтами. Institute of Mathematics, NAS of Ukraine 1992-09-08 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8035 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 8 (1992); 1065-1078 Український математичний журнал; Том 44 № 8 (1992); 1065-1078 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8035/9598 Copyright (c) 1992 G. S. Poletaev |
| spellingShingle | Poletaev , G. S. Полетаев , Г. С. Convolution-type integral equation with two kernels and its abstract analog |
| title | Convolution-type integral equation with two kernels and its abstract analog |
| title_alt | Интегральное уравнение типа свертки с двумя ядрами и его абстрактный аналог |
| title_full | Convolution-type integral equation with two kernels and its abstract analog |
| title_fullStr | Convolution-type integral equation with two kernels and its abstract analog |
| title_full_unstemmed | Convolution-type integral equation with two kernels and its abstract analog |
| title_short | Convolution-type integral equation with two kernels and its abstract analog |
| title_sort | convolution-type integral equation with two kernels and its abstract analog |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8035 |
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