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...
Saved in:
| Published in: | Український математичний вісник |
|---|---|
| Date: | 2018 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2018
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/169398 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862752761288851456 |
|---|---|
| author | Kolomiiets, T. Pogorui, A. Rodriguez-Dagnino, R.M. |
| author_facet | Kolomiiets, T. Pogorui, A. Rodriguez-Dagnino, R.M. |
| 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. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| 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.
|
| first_indexed | 2025-12-07T21:18:01Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169398 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T21:18:01Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| 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 | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169398 |
| work_keys_str_mv | AT kolomiietst solutionofsystemsofpartialdifferentialequationsbyusingpropertiesofmonogenicfunctionsoncommutativealgebras AT pogoruia solutionofsystemsofpartialdifferentialequationsbyusingpropertiesofmonogenicfunctionsoncommutativealgebras AT rodriguezdagninorm solutionofsystemsofpartialdifferentialequationsbyusingpropertiesofmonogenicfunctionsoncommutativealgebras |