Study of properties of firmness of solutions of equations with partial derivatives by the method of separation of variables
The oscillatory character of solutions of partial differential equations is studied by the method of separation of variables; an ill-posed boundary value problem for a fourth-order polyharmonic equation, where the boundary conditions are given on two rectangles embedded one in the other, is studied;...
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| Date: | 1992 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8100 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512902575816704 |
|---|---|
| author | Bugir, M. K. Бугир, М. К. |
| author_facet | Bugir, M. K. Бугир, М. К. |
| author_sort | Bugir, M. K. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-01-31T10:37:52Z |
| description | The oscillatory character of solutions of partial differential equations is studied by the method of separation of variables; an ill-posed boundary value problem for a fourth-order polyharmonic equation, where the boundary conditions are given on two rectangles embedded one in the other, is studied; bounds for conditional stability and regularization are established.
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| first_indexed | 2026-03-24T03:36:10Z |
| format | Article |
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| id | umjimathkievua-article-8100 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:36:10Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/de/88a73e2c5f3a5d577003f1ff529f03de.pdf |
| spelling | umjimathkievua-article-81002024-01-31T10:37:52Z Study of properties of firmness of solutions of equations with partial derivatives by the method of separation of variables Исследование свойств неколеблемости решений уравнений с частными производными методом разделения переменных Bugir, M. K. Бугир, М. К. The oscillatory character of solutions of partial differential equations is studied by the method of separation of variables; an ill-posed boundary value problem for a fourth-order polyharmonic equation, where the boundary conditions are given on two rectangles embedded one in the other, is studied; bounds for conditional stability and regularization are established. Методом разделения переменных исследуются определения колеблемости решений уравнений в частных производных; изучается некорректная краевая задача для полигармонического уравнения четвертого порядка, когда краевые условия задаются на двух вложенных друг в друга прямоугольниках, устанавливаются оценки условной устойчивости и регуляризации. Методом розподілу змінних досліджується визначення коливальності розв’язків рівнянь з частинними похідними; вивчається некоректна крайова задача для полігармонічного рівняння четвертого порядку, коли крайові умови задаються на двох вкладених один в одного прямокутниках; встановлюються оцінки умовної стійкості і регуляризації. Institute of Mathematics, NAS of Ukraine 1992-04-02 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8100 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 3 (1992); 317-323 Український математичний журнал; Том 44 № 3 (1992); 317-323 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8100/9631 Copyright (c) 1992 M. K. Bugir |
| spellingShingle | Bugir, M. K. Бугир, М. К. Study of properties of firmness of solutions of equations with partial derivatives by the method of separation of variables |
| title | Study of properties of firmness of solutions of equations with partial derivatives by the method of separation of variables |
| title_alt | Исследование свойств неколеблемости решений уравнений с частными производными методом разделения переменных |
| title_full | Study of properties of firmness of solutions of equations with partial derivatives by the method of separation of variables |
| title_fullStr | Study of properties of firmness of solutions of equations with partial derivatives by the method of separation of variables |
| title_full_unstemmed | Study of properties of firmness of solutions of equations with partial derivatives by the method of separation of variables |
| title_short | Study of properties of firmness of solutions of equations with partial derivatives by the method of separation of variables |
| title_sort | study of properties of firmness of solutions of equations with partial derivatives by the method of separation of variables |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8100 |
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