On simplification system of partial differential equations with variable
The system with junior variable coefficients of Moisil–Theodoresco is analysed in the article. The line of the system degenerates in points of the hyper-plane. A changeable element is found, with the help of which the structure of the selected coefficient is changed by the power line of the system...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2002-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/32877 |
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| _version_ | 1823857877593358336 |
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| author | Donatas Jurgaitis |
| author_facet | Donatas Jurgaitis |
| author_sort | Donatas Jurgaitis |
| collection | DOAJ |
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The system with junior variable coefficients of Moisil–Theodoresco is analysed in the article. The line of the system degenerates in points of the hyper-plane. A changeable element is found, with the help of which the structure of the selected coefficient is changed by the power line of the system coefficient exposing element. The structure of this coefficient conforms to the structure of the principal matrix of the system coefficient exposing element. A formal changeable element is found, which allows the system to be divided into partial systems, when the principal matrix of the exposing element of the system junior members is blocking.
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| format | Article |
| id | doaj-art-fca10d11cfd647e1bed9fd1b2ab7dad9 |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2002-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-fca10d11cfd647e1bed9fd1b2ab7dad92025-02-11T18:13:49ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2002-12-0142spec.10.15388/LMR.2002.32877On simplification system of partial differential equations with variable Donatas Jurgaitis0Siauliu University The system with junior variable coefficients of Moisil–Theodoresco is analysed in the article. The line of the system degenerates in points of the hyper-plane. A changeable element is found, with the help of which the structure of the selected coefficient is changed by the power line of the system coefficient exposing element. The structure of this coefficient conforms to the structure of the principal matrix of the system coefficient exposing element. A formal changeable element is found, which allows the system to be divided into partial systems, when the principal matrix of the exposing element of the system junior members is blocking. https://www.zurnalai.vu.lt/LMR/article/view/32877 |
| spellingShingle | Donatas Jurgaitis On simplification system of partial differential equations with variable Lietuvos Matematikos Rinkinys |
| title | On simplification system of partial differential equations with variable |
| title_full | On simplification system of partial differential equations with variable |
| title_fullStr | On simplification system of partial differential equations with variable |
| title_full_unstemmed | On simplification system of partial differential equations with variable |
| title_short | On simplification system of partial differential equations with variable |
| title_sort | on simplification system of partial differential equations with variable |
| url | https://www.zurnalai.vu.lt/LMR/article/view/32877 |
| work_keys_str_mv | AT donatasjurgaitis onsimplificationsystemofpartialdifferentialequationswithvariable |