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Solutions of some partial differential equations with variable coefficients by properties of monogenic functions

Pogorui A. A. and Rodríguez-Dagnino R. M. (2017) Solutions of some partial differential equations with variable coefficients by properties of monogenic functions. Journal of Mathematical Sciences. Т. 220, № 5. pp. 624-632.

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Abstract

We study some partial differential equations, by using the properties of Gateaux differen-
tiable functions on a commutative algebra. It is proved that components of differentiable functions satisfy
some partial differential equations with coefficients related to properties of the bases of subspaces of the
corresponding algebra

Item Type: Article
Uncontrolled Keywords: Monogenic function, commutative algebra, partial differential equations
Subjects: Q Science > QA Mathematics > QA77 Mathematical Analysis
Divisions: Faculty of Physics and Mathematics > Department of Mathematical Analysis, Business Analytics and Statistics
Depositing User: Ірина Ігорівна Таргонська
Date Deposited: 06 Feb 2018 01:28
Last Modified: 16 Feb 2023 12:51
URI: https://eprints.zu.edu.ua/id/eprint/26351
ДСТУ 8302:2015: Pogorui A. A. and Rodríguez-Dagnino R. M. Solutions of some partial differential equations with variable coefficients by properties of monogenic functions. Journal of Mathematical Sciences. 2017. Т. 220, № 5. pp. 624-632.

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