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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Дата: | 2016 |
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Автори: | , |
Формат: | Стаття |
Мова: | English |
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Інститут прикладної математики і механіки НАН України
2016
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Назва видання: | Український математичний вісник |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/140895 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | 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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irk-123456789-1408952018-07-18T01:24:00Z Solutions of some partial differential equations with variable coefficients by properties of monogenic functions Pogorui, A.A. Rodriguez-Dagnino, R.M. 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. 2016 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/140895 en Український математичний вісник Інститут прикладної математики і механіки НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
language |
English |
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. |
format |
Article |
author |
Pogorui, A.A. Rodriguez-Dagnino, R.M. |
spellingShingle |
Pogorui, A.A. Rodriguez-Dagnino, R.M. Solutions of some partial differential equations with variable coefficients by properties of monogenic functions Український математичний вісник |
author_facet |
Pogorui, A.A. Rodriguez-Dagnino, R.M. |
author_sort |
Pogorui, A.A. |
title |
Solutions of some partial differential equations with variable coefficients by properties of monogenic functions |
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 |
publisher |
Інститут прикладної математики і механіки НАН України |
publishDate |
2016 |
url |
http://dspace.nbuv.gov.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. |
series |
Український математичний вісник |
work_keys_str_mv |
AT pogoruiaa solutionsofsomepartialdifferentialequationswithvariablecoefficientsbypropertiesofmonogenicfunctions AT rodriguezdagninorm solutionsofsomepartialdifferentialequationswithvariablecoefficientsbypropertiesofmonogenicfunctions |
first_indexed |
2023-10-18T21:23:41Z |
last_indexed |
2023-10-18T21:23:41Z |
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1796152695597301760 |