Solution of systems of partial differential equations by using properties of monogenic functions on commutative algebras
Some systems of differential equations with partial derivatives are studied by using the properties of Gateaux differentiable functions on commutative algebras. The connection between solutions of systems of partial differential equations and components of monogenic functions on the corresponding co...
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| Дата: | 2018 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2018
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| Назва видання: | Український математичний вісник |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/169398 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Solution of systems of partial differential equations by using properties of monogenic functions on commutative algebras / T. Kolomiiets, A. Pogorui, R.M. Rodriguez-Dagnino // Український математичний вісник. — 2018. — Т. 15, № 2. — С. 210-219. — Бібліогр.: 8 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-169398 |
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| record_format |
dspace |
| spelling |
irk-123456789-1693982020-06-13T01:27:05Z Solution of systems of partial differential equations by using properties of monogenic functions on commutative algebras Kolomiiets, T. Pogorui, A. Rodriguez-Dagnino, R.M. Some systems of differential equations with partial derivatives are studied by using the properties of Gateaux differentiable functions on commutative algebras. The connection between solutions of systems of partial differential equations and components of monogenic functions on the corresponding commutative algebras is shown.We also give some examples of systems of partial differential equations and find their solutions. 2018 Article Solution of systems of partial differential equations by using properties of monogenic functions on commutative algebras / T. Kolomiiets, A. Pogorui, R.M. Rodriguez-Dagnino // Український математичний вісник. — 2018. — Т. 15, № 2. — С. 210-219. — Бібліогр.: 8 назв. — англ. 1810-3200 2000 MSC. Primary 35C99; Secondary 32W50. http://dspace.nbuv.gov.ua/handle/123456789/169398 en Український математичний вісник Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Some systems of differential equations with partial derivatives are studied by using the properties of Gateaux differentiable functions on commutative algebras. The connection between solutions of systems of partial differential equations and components of monogenic functions on the corresponding commutative algebras is shown.We also give some examples of systems of partial differential equations and find their solutions. |
| format |
Article |
| author |
Kolomiiets, T. Pogorui, A. Rodriguez-Dagnino, R.M. |
| spellingShingle |
Kolomiiets, T. Pogorui, A. Rodriguez-Dagnino, R.M. Solution of systems of partial differential equations by using properties of monogenic functions on commutative algebras Український математичний вісник |
| author_facet |
Kolomiiets, T. Pogorui, A. Rodriguez-Dagnino, R.M. |
| author_sort |
Kolomiiets, T. |
| title |
Solution of systems of partial differential equations by using properties of monogenic functions on commutative algebras |
| title_short |
Solution of systems of partial differential equations by using properties of monogenic functions on commutative algebras |
| title_full |
Solution of systems of partial differential equations by using properties of monogenic functions on commutative algebras |
| title_fullStr |
Solution of systems of partial differential equations by using properties of monogenic functions on commutative algebras |
| title_full_unstemmed |
Solution of systems of partial differential equations by using properties of monogenic functions on commutative algebras |
| title_sort |
solution of systems of partial differential equations by using properties of monogenic functions on commutative algebras |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2018 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/169398 |
| citation_txt |
Solution of systems of partial differential equations by using properties of monogenic functions on commutative algebras / T. Kolomiiets, A. Pogorui, R.M. Rodriguez-Dagnino // Український математичний вісник. — 2018. — Т. 15, № 2. — С. 210-219. — Бібліогр.: 8 назв. — англ. |
| series |
Український математичний вісник |
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2023-10-18T22:25:05Z |
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2023-10-18T22:25:05Z |
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