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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| Veröffentlicht in: | Український математичний вісник |
|---|---|
| Datum: | 2018 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2018
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/169398 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Kolomiiets, T. Pogorui, A. Rodriguez-Dagnino, R.M. 2020-06-12T15:31:32Z 2020-06-12T15:31:32Z 2018 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. https://nasplib.isofts.kiev.ua/handle/123456789/169398 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. We thank the anonymous reviewer for his/her thorough review and highly appreciate the comments and suggestions. en Інститут прикладної математики і механіки НАН України Український математичний вісник Solution of systems of partial differential equations by using properties of monogenic functions on commutative algebras Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Solution of systems of partial differential equations by using properties of monogenic functions on commutative algebras |
| spellingShingle |
Solution of systems of partial differential equations by using properties of monogenic functions on commutative algebras Kolomiiets, T. Pogorui, A. Rodriguez-Dagnino, R.M. |
| 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 |
| author |
Kolomiiets, T. Pogorui, A. Rodriguez-Dagnino, R.M. |
| author_facet |
Kolomiiets, T. Pogorui, A. Rodriguez-Dagnino, R.M. |
| publishDate |
2018 |
| language |
English |
| container_title |
Український математичний вісник |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1810-3200 |
| url |
https://nasplib.isofts.kiev.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. |
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| first_indexed |
2025-12-07T21:18:01Z |
| last_indexed |
2025-12-07T21:18:01Z |
| _version_ |
1850885832882257920 |