On differential operators with singularity and conditions of discontinuity inside an interval
We investigate boundary-value problems for differential equations with singularity and discontinuity conditions inside an interval. We describe properties of the spectrum, prove a theorem on the completeness of eigenfunctions and associated functions, and study the inverse spectral problem.
Збережено в:
| Дата: | 2001 |
|---|---|
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2001
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4364 |
| 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_ | 1860510495033786368 |
|---|---|
| author | Amirov, R. Kh. Yurko, V. A. Амиров, Р. Х. Юрко, В. А. Амиров, Р. Х. Юрко, В. А. |
| author_facet | Amirov, R. Kh. Yurko, V. A. Амиров, Р. Х. Юрко, В. А. Амиров, Р. Х. Юрко, В. А. |
| author_sort | Amirov, R. Kh. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:27:24Z |
| description | We investigate boundary-value problems for differential equations with singularity and discontinuity conditions inside an interval. We describe properties of the spectrum, prove a theorem on the completeness of eigenfunctions and associated functions, and study the inverse spectral problem. |
| first_indexed | 2026-03-24T02:57:54Z |
| format | Article |
| fulltext |
0003
0004
0005
0006
0007
0008
0009
0010
0011
0012
0013
0014
0015
0016
0017
|
| id | umjimathkievua-article-4364 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:57:54Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/06/e9bea2569277035a54b8d6a5a2c5bb06.pdf |
| spelling | umjimathkievua-article-43642020-03-18T20:27:24Z On differential operators with singularity and conditions of discontinuity inside an interval О дифференциальных операторах с особенностью и условиями разрыва внутри интервала Amirov, R. Kh. Yurko, V. A. Амиров, Р. Х. Юрко, В. А. Амиров, Р. Х. Юрко, В. А. We investigate boundary-value problems for differential equations with singularity and discontinuity conditions inside an interval. We describe properties of the spectrum, prove a theorem on the completeness of eigenfunctions and associated functions, and study the inverse spectral problem. Досліджуються крайові задачі для диференціальних рівнянь з особливостями та умовами розриву в середині інтервалу. Одержано властивості спектра, доведено теорему про повноту власних і приєднаних функцій. Досліджується обернена спектральна задача. Institute of Mathematics, NAS of Ukraine 2001-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4364 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 11 (2001); 1443-1457 Український математичний журнал; Том 53 № 11 (2001); 1443-1457 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4364/5432 https://umj.imath.kiev.ua/index.php/umj/article/view/4364/5433 Copyright (c) 2001 Amirov R. Kh.; Yurko V. A. |
| spellingShingle | Amirov, R. Kh. Yurko, V. A. Амиров, Р. Х. Юрко, В. А. Амиров, Р. Х. Юрко, В. А. On differential operators with singularity and conditions of discontinuity inside an interval |
| title | On differential operators with singularity and conditions
of discontinuity inside an interval |
| title_alt | О дифференциальных операторах с особенностью и условиями разрыва внутри интервала |
| title_full | On differential operators with singularity and conditions
of discontinuity inside an interval |
| title_fullStr | On differential operators with singularity and conditions
of discontinuity inside an interval |
| title_full_unstemmed | On differential operators with singularity and conditions
of discontinuity inside an interval |
| title_short | On differential operators with singularity and conditions
of discontinuity inside an interval |
| title_sort | on differential operators with singularity and conditions
of discontinuity inside an interval |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4364 |
| work_keys_str_mv | AT amirovrkh ondifferentialoperatorswithsingularityandconditionsofdiscontinuityinsideaninterval AT yurkova ondifferentialoperatorswithsingularityandconditionsofdiscontinuityinsideaninterval AT amirovrh ondifferentialoperatorswithsingularityandconditionsofdiscontinuityinsideaninterval AT ûrkova ondifferentialoperatorswithsingularityandconditionsofdiscontinuityinsideaninterval AT amirovrh ondifferentialoperatorswithsingularityandconditionsofdiscontinuityinsideaninterval AT ûrkova ondifferentialoperatorswithsingularityandconditionsofdiscontinuityinsideaninterval AT amirovrkh odifferencialʹnyhoperatorahsosobennostʹûiusloviâmirazryvavnutriintervala AT yurkova odifferencialʹnyhoperatorahsosobennostʹûiusloviâmirazryvavnutriintervala AT amirovrh odifferencialʹnyhoperatorahsosobennostʹûiusloviâmirazryvavnutriintervala AT ûrkova odifferencialʹnyhoperatorahsosobennostʹûiusloviâmirazryvavnutriintervala AT amirovrh odifferencialʹnyhoperatorahsosobennostʹûiusloviâmirazryvavnutriintervala AT ûrkova odifferencialʹnyhoperatorahsosobennostʹûiusloviâmirazryvavnutriintervala |