On the uniqueness of solutions of the Dirichlet and Neumann problems for an elliptic second-order differential equation on a semiaxis
For an elliptic second-order differential equation in a Banach space, we give a description of all solutions of the homogeneous Dirichlet and Neumann problems and establish conditions under which these problems are uniquely solvable.
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| Date: | 1994 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5596 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511826197872640 |
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| author | Gorbachuk, V. M. Горбачук, В. М. |
| author_facet | Gorbachuk, V. M. Горбачук, В. М. |
| author_sort | Gorbachuk, V. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:14:13Z |
| description | For an elliptic second-order differential equation in a Banach space, we give a description of all solutions of the homogeneous Dirichlet and Neumann problems and establish conditions under which these problems are uniquely solvable. |
| first_indexed | 2026-03-24T03:19:03Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5596 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:19:03Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f2/a34d66bf7d7ef1c2622cdc4dad52b4f2.pdf |
| spelling | umjimathkievua-article-55962020-03-19T09:14:13Z On the uniqueness of solutions of the Dirichlet and Neumann problems for an elliptic second-order differential equation on a semiaxis Про єдиність розв’язків задач Діріхле та Неймана для операторно-диференціального рівняння другого порядку еліптичного типу на півосі Gorbachuk, V. M. Горбачук, В. М. For an elliptic second-order differential equation in a Banach space, we give a description of all solutions of the homogeneous Dirichlet and Neumann problems and establish conditions under which these problems are uniquely solvable. Для диференціального рівняння другого порядку еліптичного типу в банаховому просторі описано всі розв'язки однорідних задач Діріхле та Неймана і знайдено умови їх однозначної розв'язності. Institute of Mathematics, NAS of Ukraine 1994-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5596 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 11 (1994); 1564–1567 Український математичний журнал; Том 46 № 11 (1994); 1564–1567 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5596/7877 https://umj.imath.kiev.ua/index.php/umj/article/view/5596/7878 Copyright (c) 1994 Gorbachuk V. M. |
| spellingShingle | Gorbachuk, V. M. Горбачук, В. М. On the uniqueness of solutions of the Dirichlet and Neumann problems for an elliptic second-order differential equation on a semiaxis |
| title | On the uniqueness of solutions of the Dirichlet and Neumann problems for an elliptic second-order differential equation on a semiaxis |
| title_alt | Про єдиність розв’язків задач Діріхле та Неймана для операторно-диференціального рівняння другого порядку еліптичного типу на півосі |
| title_full | On the uniqueness of solutions of the Dirichlet and Neumann problems for an elliptic second-order differential equation on a semiaxis |
| title_fullStr | On the uniqueness of solutions of the Dirichlet and Neumann problems for an elliptic second-order differential equation on a semiaxis |
| title_full_unstemmed | On the uniqueness of solutions of the Dirichlet and Neumann problems for an elliptic second-order differential equation on a semiaxis |
| title_short | On the uniqueness of solutions of the Dirichlet and Neumann problems for an elliptic second-order differential equation on a semiaxis |
| title_sort | on the uniqueness of solutions of the dirichlet and neumann problems for an elliptic second-order differential equation on a semiaxis |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5596 |
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