On the conditions of solvability and the resolvent of a second-order deferential boundary operator in a space of vector functions
A boundary differential operator generated by the Sturm-Liouville differential expression with bounded operator potential and nonlocal boundary conditions is considered. The conditions for a considered operator to be a Fredholm and solvable operator are established and its resolvent is constructed.
Gespeichert in:
| Datum: | 1995 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1995
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5450 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511682537717760 |
|---|---|
| author | Storozh, O. G. Сторож, О. Г. |
| author_facet | Storozh, O. G. Сторож, О. Г. |
| author_sort | Storozh, O. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:59:28Z |
| description | A boundary differential operator generated by the Sturm-Liouville differential expression with bounded operator potential and nonlocal boundary conditions is considered. The conditions for a considered operator to be a Fredholm and solvable operator are established and its resolvent is constructed. |
| first_indexed | 2026-03-24T03:16:46Z |
| format | Article |
| fulltext |
0077
0078
0079
0080
0081
0082
0083
0084
|
| id | umjimathkievua-article-5450 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:16:46Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/29/e915616fe5388518f66b4d1fc8b1fa29.pdf |
| spelling | umjimathkievua-article-54502020-03-19T08:59:28Z On the conditions of solvability and the resolvent of a second-order deferential boundary operator in a space of vector functions Про умови розв'язності і резольвенту диференціально-граничного оператора другого порядку в просторі вектор-функцій Storozh, O. G. Сторож, О. Г. A boundary differential operator generated by the Sturm-Liouville differential expression with bounded operator potential and nonlocal boundary conditions is considered. The conditions for a considered operator to be a Fredholm and solvable operator are established and its resolvent is constructed. Розглядається диференціально-граничний оператор, породжений диференціальним виразом Штурма - Ліувілля з обмеженим операторннм потенціалом і нелокальними крайовими умовами. Встановлено умови фредгольмовості і розв'язності розглядуваного оператора, побудовано його резольвенту. Institute of Mathematics, NAS of Ukraine 1995-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5450 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 4 (1995); 517–524 Український математичний журнал; Том 47 № 4 (1995); 517–524 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5450/7589 https://umj.imath.kiev.ua/index.php/umj/article/view/5450/7590 Copyright (c) 1995 Storozh O. G. |
| spellingShingle | Storozh, O. G. Сторож, О. Г. On the conditions of solvability and the resolvent of a second-order deferential boundary operator in a space of vector functions |
| title | On the conditions of solvability and the resolvent of a second-order deferential boundary operator in a space of vector functions |
| title_alt | Про умови розв'язності і резольвенту диференціально-граничного оператора другого порядку в просторі вектор-функцій |
| title_full | On the conditions of solvability and the resolvent of a second-order deferential boundary operator in a space of vector functions |
| title_fullStr | On the conditions of solvability and the resolvent of a second-order deferential boundary operator in a space of vector functions |
| title_full_unstemmed | On the conditions of solvability and the resolvent of a second-order deferential boundary operator in a space of vector functions |
| title_short | On the conditions of solvability and the resolvent of a second-order deferential boundary operator in a space of vector functions |
| title_sort | on the conditions of solvability and the resolvent of a second-order deferential boundary operator in a space of vector functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5450 |
| work_keys_str_mv | AT storozhog ontheconditionsofsolvabilityandtheresolventofasecondorderdeferentialboundaryoperatorinaspaceofvectorfunctions AT storožog ontheconditionsofsolvabilityandtheresolventofasecondorderdeferentialboundaryoperatorinaspaceofvectorfunctions AT storozhog proumovirozv039âznostíírezolʹventudiferencíalʹnograničnogooperatoradrugogoporâdkuvprostorívektorfunkcíj AT storožog proumovirozv039âznostíírezolʹventudiferencíalʹnograničnogooperatoradrugogoporâdkuvprostorívektorfunkcíj |