Upgrading the evolutionary approach to the study of forced oscillations in a resonator
UDC 517.9 We investigate the possibility of upgrading of the evolutionary approach to solving vector initial-boundary-value problems for the Maxwell equations and  solve the equation of forced oscillations in a cylindrical resonator by using the upgraded approach.&n...
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| Date: | 2024 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2024
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7559 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512685190283264 |
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| author | Erden, F. Erden, F. |
| author_facet | Erden, F. Erden, F. |
| author_sort | Erden, F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-09-25T06:57:22Z |
| description | UDC 517.9
We investigate the possibility of upgrading of the evolutionary approach to solving vector initial-boundary-value problems for the Maxwell equations and  solve the equation of forced oscillations in a cylindrical resonator by using the upgraded approach. In addition, the potential for extending the approach to the theory of laser dynamics is discussed.  |
| doi_str_mv | 10.3842/umzh.v76i8.7559 |
| first_indexed | 2026-03-24T03:32:43Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7559 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:32:43Z |
| publishDate | 2024 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-75592024-09-25T06:57:22Z Upgrading the evolutionary approach to the study of forced oscillations in a resonator Upgrading the evolutionary approach to the study of forced oscillations in a resonator Erden, F. Erden, F. evolutionary approach differential equations time domain ordinary differential equations partial differential equations cavity resonator causality principle evolutionary approach differential equations time domain ordinary differential equations partial differential equations cavity resonator causality principle UDC 517.9 We investigate the possibility of upgrading of the evolutionary approach to solving vector initial-boundary-value problems for the Maxwell equations and  solve the equation of forced oscillations in a cylindrical resonator by using the upgraded approach. In addition, the potential for extending the approach to the theory of laser dynamics is discussed.  УДК 517.9 Удосконалення еволюційного підходу до дослідження вимушених коливань у резонаторі Досліджено удосконалення еволюційного підходу до розв’язування векторних початково-крайових задач для рівнянь Максвелла та розв’язки, отримані для вимушених коливань у циліндричному резонаторі з використанням удосконаленого підходу. Крім того, обговорено потенціал для розширення цього підходу до теорії лазерної динаміки. Institute of Mathematics, NAS of Ukraine 2024-09-04 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7559 10.3842/umzh.v76i8.7559 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 8 (2024); 1147 - 1157 Український математичний журнал; Том 76 № 8 (2024); 1147 - 1157 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7559/10151 Copyright (c) 2024 Fatih Erden |
| spellingShingle | Erden, F. Erden, F. Upgrading the evolutionary approach to the study of forced oscillations in a resonator |
| title | Upgrading the evolutionary approach to the study of forced oscillations in a resonator |
| title_alt | Upgrading the evolutionary approach to the study of forced oscillations in a resonator |
| title_full | Upgrading the evolutionary approach to the study of forced oscillations in a resonator |
| title_fullStr | Upgrading the evolutionary approach to the study of forced oscillations in a resonator |
| title_full_unstemmed | Upgrading the evolutionary approach to the study of forced oscillations in a resonator |
| title_short | Upgrading the evolutionary approach to the study of forced oscillations in a resonator |
| title_sort | upgrading the evolutionary approach to the study of forced oscillations in a resonator |
| topic_facet | evolutionary approach differential equations time domain ordinary differential equations partial differential equations cavity resonator causality principle evolutionary approach differential equations time domain ordinary differential equations partial differential equations cavity resonator causality principle |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7559 |
| work_keys_str_mv | AT erdenf upgradingtheevolutionaryapproachtothestudyofforcedoscillationsinaresonator AT erdenf upgradingtheevolutionaryapproachtothestudyofforcedoscillationsinaresonator |