A Differential Boundary Operator of the Sturm–Liouville Type on a Semiaxis with Two-Point Integral Boundary Conditions
We prove that a differential boundary operator of the Sturm–Liouville type on a semiaxis with two-point integral boundary conditions that acts in the Hilbert space L 2(0, ∞) is closed and densely defined. The adjoint operator is constructed. We also establish criteria for the maximal dissipativity a...
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| Date: | 2002 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4186 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510318737752064 |
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| author | Mylyo, O. Ya. Storozh, O. G. Мильо, О. Я. Сторож, О. Г. |
| author_facet | Mylyo, O. Ya. Storozh, O. G. Мильо, О. Я. Сторож, О. Г. |
| author_sort | Mylyo, O. Ya. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:23:57Z |
| description | We prove that a differential boundary operator of the Sturm–Liouville type on a semiaxis with two-point integral boundary conditions that acts in the Hilbert space L 2(0, ∞) is closed and densely defined. The adjoint operator is constructed. We also establish criteria for the maximal dissipativity and maximal accretivity of this operator. |
| first_indexed | 2026-03-24T02:55:06Z |
| format | Article |
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| id | umjimathkievua-article-4186 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:55:06Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/cd/ada7e9daa6885677720b88e7773a0ecd.pdf |
| spelling | umjimathkievua-article-41862020-03-18T20:23:57Z A Differential Boundary Operator of the Sturm–Liouville Type on a Semiaxis with Two-Point Integral Boundary Conditions Диференціально-граничний оператор типу Штурма - Ліувілля на півосі з двоточково-інтегральними крайовими умовами Mylyo, O. Ya. Storozh, O. G. Мильо, О. Я. Сторож, О. Г. We prove that a differential boundary operator of the Sturm–Liouville type on a semiaxis with two-point integral boundary conditions that acts in the Hilbert space L 2(0, ∞) is closed and densely defined. The adjoint operator is constructed. We also establish criteria for the maximal dissipativity and maximal accretivity of this operator. Доведено замкненість та щільну визначеність вказаного у заголовку оператора, якиіі діє в гільбертовому просторі L 2(0, ∞). Побудовано спряжений оператор. Встановлено критерії максимальної диснпатнвності і максимальної акретивності досліджуваного оператора. Institute of Mathematics, NAS of Ukraine 2002-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4186 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 11 (2002); 1480-1485 Український математичний журнал; Том 54 № 11 (2002); 1480-1485 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4186/5079 https://umj.imath.kiev.ua/index.php/umj/article/view/4186/5080 Copyright (c) 2002 Mylyo O. Ya.; Storozh O. G. |
| spellingShingle | Mylyo, O. Ya. Storozh, O. G. Мильо, О. Я. Сторож, О. Г. A Differential Boundary Operator of the Sturm–Liouville Type on a Semiaxis with Two-Point Integral Boundary Conditions |
| title | A Differential Boundary Operator of the Sturm–Liouville Type on a Semiaxis with Two-Point Integral Boundary Conditions |
| title_alt | Диференціально-граничний оператор типу Штурма -
Ліувілля на півосі з двоточково-інтегральними крайовими умовами |
| title_full | A Differential Boundary Operator of the Sturm–Liouville Type on a Semiaxis with Two-Point Integral Boundary Conditions |
| title_fullStr | A Differential Boundary Operator of the Sturm–Liouville Type on a Semiaxis with Two-Point Integral Boundary Conditions |
| title_full_unstemmed | A Differential Boundary Operator of the Sturm–Liouville Type on a Semiaxis with Two-Point Integral Boundary Conditions |
| title_short | A Differential Boundary Operator of the Sturm–Liouville Type on a Semiaxis with Two-Point Integral Boundary Conditions |
| title_sort | differential boundary operator of the sturm–liouville type on a semiaxis with two-point integral boundary conditions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4186 |
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