On the dissipative Sturm–Liouville problem with transmission conditions depending on the eigenparameter
UDC 517.927, 517.98 A class of dissipative Sturm–Liouville boundary-value problems with eigenparameter-dependent transmission conditions is investigated. By transforming the Sturm–Liouville problem with eigenparameter-dependent transmission conditions to the corresponding linear operator associated...
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| Дата: | 2026 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2026
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/9398 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860956093838000128 |
|---|---|
| author | Li, Fei-fan Ao, Ji-jun Li, Fei-fan Ao, Ji-jun |
| author_facet | Li, Fei-fan Ao, Ji-jun Li, Fei-fan Ao, Ji-jun |
| author_sort | Li, Fei-fan |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-03-28T20:30:15Z |
| description | UDC 517.927, 517.98
A class of dissipative Sturm–Liouville boundary-value problems with eigenparameter-dependent transmission conditions is investigated. By transforming the Sturm–Liouville problem with eigenparameter-dependent transmission conditions to the corresponding linear operator associated with the problem, we prove that this operator is dissipative. Further, certain eigenvalue properties are presented and the theorems on completeness of this operator are established by applying Krein's theorem. |
| doi_str_mv | 10.3842/umzh.v78i3-4.9398 |
| first_indexed | 2026-03-29T01:00:30Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-9398 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-29T01:00:30Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-93982026-03-28T20:30:15Z On the dissipative Sturm–Liouville problem with transmission conditions depending on the eigenparameter On the dissipative Sturm–Liouville problem with transmission conditions depending on the eigenparameter Li, Fei-fan Ao, Ji-jun Li, Fei-fan Ao, Ji-jun Sturm-Liouville problem dissipative differential operator eigenparameter-dependent transmission conditions completeness theorems 34L10 34B20 47A45 UDC 517.927, 517.98 A class of dissipative Sturm–Liouville boundary-value problems with eigenparameter-dependent transmission conditions is investigated. By transforming the Sturm–Liouville problem with eigenparameter-dependent transmission conditions to the corresponding linear operator associated with the problem, we prove that this operator is dissipative. Further, certain eigenvalue properties are presented and the theorems on completeness of this operator are established by applying Krein's theorem. УДК 517.927, 517.98 Про дисипативну задачу Штурма–Ліувілля з умовами спряження, що залежать від власного параметра Досліджено клас дисипативних крайових задач Штурма–Ліувілля з умовами спряження, що залежать від власного параметра. Шляхом зведення задачі Штурма–Ліувілля з такими умовами спряження до відповідного лінійного оператора, асоційованого з задачею, доведено, що цей оператор є дисипативним. Далі із застосуванням теореми Крейна встановлено деякі властивості власних значень і доведено теореми повноти для такого оператора. Institute of Mathematics, NAS of Ukraine 2026-03-28 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/9398 10.3842/umzh.v78i3-4.9398 Ukrains’kyi Matematychnyi Zhurnal; Vol. 78 No. 3-4 (2026); 207–208 Український математичний журнал; Том 78 № 3-4 (2026); 207–208 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/9398/10634 Copyright (c) 2026 Fei-fan Li, Ji-jun Ao |
| spellingShingle | Li, Fei-fan Ao, Ji-jun Li, Fei-fan Ao, Ji-jun On the dissipative Sturm–Liouville problem with transmission conditions depending on the eigenparameter |
| title | On the dissipative Sturm–Liouville problem with transmission conditions depending on the eigenparameter |
| title_alt | On the dissipative Sturm–Liouville problem with transmission conditions depending on the eigenparameter |
| title_full | On the dissipative Sturm–Liouville problem with transmission conditions depending on the eigenparameter |
| title_fullStr | On the dissipative Sturm–Liouville problem with transmission conditions depending on the eigenparameter |
| title_full_unstemmed | On the dissipative Sturm–Liouville problem with transmission conditions depending on the eigenparameter |
| title_short | On the dissipative Sturm–Liouville problem with transmission conditions depending on the eigenparameter |
| title_sort | on the dissipative sturm–liouville problem with transmission conditions depending on the eigenparameter |
| topic_facet | Sturm-Liouville problem dissipative differential operator eigenparameter-dependent transmission conditions completeness theorems 34L10 34B20 47A45 |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9398 |
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