Solutions of some partial differential equations with variable coefficients by properties of monogenic functions
In this paper we study some partial differential equations by using properties of Gateaux differentiable functions on commutative algebra. It is proved that components of differentiable functions satisfy some partial differential equations with coefficients related with properties of bases of subspa...
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| Veröffentlicht in: | Український математичний вісник |
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| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2016
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/140895 |
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| Zitieren: | Solutions of some partial differential equations with variable coefficients by properties of monogenic functions / A.A. Pogorui, R.M. Rodriguez-Dagnino // Український математичний вісник. — 2016. — Т. 13, № 1. — С. 118-128. — Бібліогр.: 7 назв. — англ. |
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Pogorui, A.A. Rodriguez-Dagnino, R.M. 2018-07-17T18:05:01Z 2018-07-17T18:05:01Z 2016 Solutions of some partial differential equations with variable coefficients by properties of monogenic functions / A.A. Pogorui, R.M. Rodriguez-Dagnino // Український математичний вісник. — 2016. — Т. 13, № 1. — С. 118-128. — Бібліогр.: 7 назв. — англ. 1810-3200 2010 MSC: 35C99, 32W50 https://nasplib.isofts.kiev.ua/handle/123456789/140895 In this paper we study some partial differential equations by using properties of Gateaux differentiable functions on commutative algebra. It is proved that components of differentiable functions satisfy some partial differential equations with coefficients related with properties of bases of subspaces of the corresponding algebra. en Інститут прикладної математики і механіки НАН України Український математичний вісник Solutions of some partial differential equations with variable coefficients by properties of monogenic functions Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Solutions of some partial differential equations with variable coefficients by properties of monogenic functions |
| spellingShingle |
Solutions of some partial differential equations with variable coefficients by properties of monogenic functions Pogorui, A.A. Rodriguez-Dagnino, R.M. |
| title_short |
Solutions of some partial differential equations with variable coefficients by properties of monogenic functions |
| title_full |
Solutions of some partial differential equations with variable coefficients by properties of monogenic functions |
| title_fullStr |
Solutions of some partial differential equations with variable coefficients by properties of monogenic functions |
| title_full_unstemmed |
Solutions of some partial differential equations with variable coefficients by properties of monogenic functions |
| title_sort |
solutions of some partial differential equations with variable coefficients by properties of monogenic functions |
| author |
Pogorui, A.A. Rodriguez-Dagnino, R.M. |
| author_facet |
Pogorui, A.A. Rodriguez-Dagnino, R.M. |
| publishDate |
2016 |
| language |
English |
| container_title |
Український математичний вісник |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
In this paper we study some partial differential equations by using properties of Gateaux differentiable functions on commutative algebra. It is proved that components of differentiable functions satisfy some partial differential equations with coefficients related with properties of bases of subspaces of the corresponding algebra.
|
| issn |
1810-3200 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/140895 |
| citation_txt |
Solutions of some partial differential equations with variable coefficients by properties of monogenic functions / A.A. Pogorui, R.M. Rodriguez-Dagnino // Український математичний вісник. — 2016. — Т. 13, № 1. — С. 118-128. — Бібліогр.: 7 назв. — англ. |
| work_keys_str_mv |
AT pogoruiaa solutionsofsomepartialdifferentialequationswithvariablecoefficientsbypropertiesofmonogenicfunctions AT rodriguezdagninorm solutionsofsomepartialdifferentialequationswithvariablecoefficientsbypropertiesofmonogenicfunctions |
| first_indexed |
2025-12-07T20:44:21Z |
| last_indexed |
2025-12-07T20:44:21Z |
| _version_ |
1850883714697920512 |