Impulsive Dirac system on time scales
UDC 517.9 We consider an impulsive Dirac system on Sturmian time scales. An existence theorem is given for this system. А maximal, minimal and self-adjoint operators generated by the impulsive dynamic Dirac system are constructed. We also construct the Green fu...
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| Datum: | 2023 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2023
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7120 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512605332832256 |
|---|---|
| author | Allahverdiev, Bilender P. Tuna, Hüseyin Allahverdiev, Bilender P. Tuna, Hüseyin |
| author_facet | Allahverdiev, Bilender P. Tuna, Hüseyin Allahverdiev, Bilender P. Tuna, Hüseyin |
| author_sort | Allahverdiev, Bilender P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-07-02T07:08:13Z |
| description | UDC 517.9
We consider an impulsive Dirac system on Sturmian time scales. An existence theorem is given for this system. А maximal, minimal and self-adjoint operators generated by the impulsive dynamic Dirac system are constructed. We also construct the Green function for this problem. Finally, an eigenfunction expansion is obtained. |
| doi_str_mv | 10.37863/umzh.v75i6.7120 |
| first_indexed | 2026-03-24T03:31:27Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7120 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:31:27Z |
| publishDate | 2023 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-71202023-07-02T07:08:13Z Impulsive Dirac system on time scales Impulsive Dirac system on time scales Allahverdiev, Bilender P. Tuna, Hüseyin Allahverdiev, Bilender P. Tuna, Hüseyin Impulsive dynamic Dirac system, time scale, eigenfunction expansion, spectrum, self-adjoint operators. UDC 517.9 We consider an impulsive Dirac system on Sturmian time scales. An existence theorem is given for this system. А maximal, minimal and self-adjoint operators generated by the impulsive dynamic Dirac system are constructed. We also construct the Green function for this problem. Finally, an eigenfunction expansion is obtained. УДК 517.9 Імпульсна система Дірака на часових шкалах Розглядається імпульсна система Дірака на часових шкалах Штурма. Наведено теорему існування для цієї системи. Побудовано максимальний, мінімальний та самоспряжений оператори, що породжені імпульсною динамічною системою Дірака, а також функцію Гріна для цієї задачі. Насамкінець отримано розклад за власними функціями. Institute of Mathematics, NAS of Ukraine 2023-06-20 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7120 10.37863/umzh.v75i6.7120 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 6 (2023); 723 - 735 Український математичний журнал; Том 75 № 6 (2023); 723 - 735 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7120/9759 Copyright (c) 2023 H. TUNA, Bilender P. Allahverdiev |
| spellingShingle | Allahverdiev, Bilender P. Tuna, Hüseyin Allahverdiev, Bilender P. Tuna, Hüseyin Impulsive Dirac system on time scales |
| title | Impulsive Dirac system on time scales |
| title_alt | Impulsive Dirac system on time scales |
| title_full | Impulsive Dirac system on time scales |
| title_fullStr | Impulsive Dirac system on time scales |
| title_full_unstemmed | Impulsive Dirac system on time scales |
| title_short | Impulsive Dirac system on time scales |
| title_sort | impulsive dirac system on time scales |
| topic_facet | Impulsive dynamic Dirac system time scale eigenfunction expansion spectrum self-adjoint operators. |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7120 |
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