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
Автори: Pogorui, A.A., Rodriguez-Dagnino, R.M.
Формат: Стаття
Мова:English
Опубліковано: Інститут прикладної математики і механіки НАН України 2016
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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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling 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
collection 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
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