Approximation of a bounded solution of a linear difference equation on Z2 by solutions of corresponding boundary-value problems in a Banach space
We study the problem of existence and uniqueness of solutions of boundary-value difference problems in a Banach space that correspond to a certain difference equation on Z2. We prove a theorem on approximation of the unique bounded solution of the considered equation by solutions of the correspondin...
Збережено в:
| Дата: | 1995 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1995
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5453 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511683013771264 |
|---|---|
| author | Gorodnii, M. F. Городний, М. Ф. Городний, М. Ф. |
| author_facet | Gorodnii, M. F. Городний, М. Ф. Городний, М. Ф. |
| author_sort | Gorodnii, M. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:59:28Z |
| description | We study the problem of existence and uniqueness of solutions of boundary-value difference problems in a Banach space that correspond to a certain difference equation on Z2. We prove a theorem on approximation of the unique bounded solution of the considered equation by solutions of the corresponding boundary-value problems. |
| first_indexed | 2026-03-24T03:16:47Z |
| format | Article |
| fulltext |
0095
0096
0097
0098
0099
0100
0101
|
| id | umjimathkievua-article-5453 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:16:47Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/0c/4e78e6b5eb739b1526f5e071c597440c.pdf |
| spelling | umjimathkievua-article-54532020-03-19T08:59:28Z Approximation of a bounded solution of a linear difference equation on Z2 by solutions of corresponding boundary-value problems in a Banach space Аппроксимация ограниченного решения линейного разностного уравнения на $Z^2$ решениями соответствующих краевых задач в банаховом пространстве Gorodnii, M. F. Городний, М. Ф. Городний, М. Ф. We study the problem of existence and uniqueness of solutions of boundary-value difference problems in a Banach space that correspond to a certain difference equation on Z2. We prove a theorem on approximation of the unique bounded solution of the considered equation by solutions of the corresponding boundary-value problems. Досліджено питання про існування і єдиність розв'язків крайових різницевих задач у банаховому просторі, відповідних одному різницевому рівнянню на $Z^2$. Доведено теорему про наближення єдиного обмеженого розв'язку розглядуваного рівняння розв'язками відповідних крайових задач. Institute of Mathematics, NAS of Ukraine 1995-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5453 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 4 (1995); 535–541 Український математичний журнал; Том 47 № 4 (1995); 535–541 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5453/7595 https://umj.imath.kiev.ua/index.php/umj/article/view/5453/7596 Copyright (c) 1995 Gorodnii M. F. |
| spellingShingle | Gorodnii, M. F. Городний, М. Ф. Городний, М. Ф. Approximation of a bounded solution of a linear difference equation on Z2 by solutions of corresponding boundary-value problems in a Banach space |
| title | Approximation of a bounded solution of a linear difference equation on Z2 by solutions of corresponding boundary-value problems in a Banach space |
| title_alt | Аппроксимация ограниченного решения линейного разностного уравнения на $Z^2$ решениями соответствующих краевых задач в банаховом пространстве |
| title_full | Approximation of a bounded solution of a linear difference equation on Z2 by solutions of corresponding boundary-value problems in a Banach space |
| title_fullStr | Approximation of a bounded solution of a linear difference equation on Z2 by solutions of corresponding boundary-value problems in a Banach space |
| title_full_unstemmed | Approximation of a bounded solution of a linear difference equation on Z2 by solutions of corresponding boundary-value problems in a Banach space |
| title_short | Approximation of a bounded solution of a linear difference equation on Z2 by solutions of corresponding boundary-value problems in a Banach space |
| title_sort | approximation of a bounded solution of a linear difference equation on z2 by solutions of corresponding boundary-value problems in a banach space |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5453 |
| work_keys_str_mv | AT gorodniimf approximationofaboundedsolutionofalineardifferenceequationonz2bysolutionsofcorrespondingboundaryvalueproblemsinabanachspace AT gorodnijmf approximationofaboundedsolutionofalineardifferenceequationonz2bysolutionsofcorrespondingboundaryvalueproblemsinabanachspace AT gorodnijmf approximationofaboundedsolutionofalineardifferenceequationonz2bysolutionsofcorrespondingboundaryvalueproblemsinabanachspace AT gorodniimf approksimaciâograničennogorešeniâlinejnogoraznostnogouravneniânaz2rešeniâmisootvetstvuûŝihkraevyhzadačvbanahovomprostranstve AT gorodnijmf approksimaciâograničennogorešeniâlinejnogoraznostnogouravneniânaz2rešeniâmisootvetstvuûŝihkraevyhzadačvbanahovomprostranstve AT gorodnijmf approksimaciâograničennogorešeniâlinejnogoraznostnogouravneniânaz2rešeniâmisootvetstvuûŝihkraevyhzadačvbanahovomprostranstve |