Representation of solutions of the Lamé–Navier system by endomorphisms on quaternions
UDC 517.54 Solutions of the Lamé–Navier system in $\mathbb{R}^3$ are given in real analysis and in quatenionic analysis in different forms. We introduce a new method of using endomorphisms on quaternions with an aim to represent these solutions.
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| Datum: | 2024 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2024
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7518 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512679618150400 |
|---|---|
| author | Dinh, Doan Cong Dinh, Doan Cong |
| author_facet | Dinh, Doan Cong Dinh, Doan Cong |
| author_sort | Dinh, Doan Cong |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-08-10T06:39:14Z |
| description | UDC 517.54
Solutions of the Lamé–Navier system in $\mathbb{R}^3$ are given in real analysis and in quatenionic analysis in different forms. We introduce a new method of using endomorphisms on quaternions with an aim to represent these solutions. |
| doi_str_mv | 10.3842/umzh.v76i7.7518 |
| first_indexed | 2026-03-24T03:32:37Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7518 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:32:37Z |
| publishDate | 2024 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-75182024-08-10T06:39:14Z Representation of solutions of the Lamé–Navier system by endomorphisms on quaternions Representation of solutions of the Lamé–Navier system by endomorphisms on quaternions Dinh, Doan Cong Dinh, Doan Cong Endomorphisms on Quaternions, Lamé-Navier system,\break Quaternion analysis, integral representation UDC 517.54 Solutions of the Lamé–Navier system in $\mathbb{R}^3$ are given in real analysis and in quatenionic analysis in different forms. We introduce a new method of using endomorphisms on quaternions with an aim to represent these solutions. УДК 517.54 Зображення розв'язків системи Ламе–Нав'є ендоморфізмами на кватерніонах  Розв'язки системи Ламе–Нав'є в $\mathbb{R}^3$ наведено у різних формах в рамках дійсного та кватерніонного аналізу. Запропоновано новий метод використання ендоморфізмів на кватерніонах для зображення розв'язків цієї системи.  Institute of Mathematics, NAS of Ukraine 2024-08-04 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7518 10.3842/umzh.v76i7.7518 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 7 (2024); 980 - 985 Український математичний журнал; Том 76 № 7 (2024); 980 - 985 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7518/10053 Copyright (c) 2024 Cong Dinh Doan |
| spellingShingle | Dinh, Doan Cong Dinh, Doan Cong Representation of solutions of the Lamé–Navier system by endomorphisms on quaternions |
| title | Representation of solutions of the Lamé–Navier system by endomorphisms on quaternions |
| title_alt | Representation of solutions of the Lamé–Navier system by endomorphisms on quaternions |
| title_full | Representation of solutions of the Lamé–Navier system by endomorphisms on quaternions |
| title_fullStr | Representation of solutions of the Lamé–Navier system by endomorphisms on quaternions |
| title_full_unstemmed | Representation of solutions of the Lamé–Navier system by endomorphisms on quaternions |
| title_short | Representation of solutions of the Lamé–Navier system by endomorphisms on quaternions |
| title_sort | representation of solutions of the lamé–navier system by endomorphisms on quaternions |
| topic_facet | Endomorphisms on Quaternions Lamé-Navier system,\break Quaternion analysis integral representation |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7518 |
| work_keys_str_mv | AT dinhdoancong representationofsolutionsofthelamenaviersystembyendomorphismsonquaternions AT dinhdoancong representationofsolutionsofthelamenaviersystembyendomorphismsonquaternions |