Email this article Solutions of some partial differential equations with variable coefficients by properties of monogenic functions
- Authors: Pogorui A.1, Rodríguez-Dagnino R.M.2
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Affiliations:
- Department of Mathematical Analysis, Ivan Franko Zhytomyr State University
- Tecnológico de Monterrey
- Issue: Vol 220, No 5 (2017)
- Pages: 624-632
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238892
- DOI: https://doi.org/10.1007/s10958-016-3205-3
- ID: 238892
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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.
About the authors
Anatoliy Pogorui
Department of Mathematical Analysis, Ivan Franko Zhytomyr State University
Author for correspondence.
Email: pogor@zu.edu.ua
Ukraine, Zhytomyr
Ramón M. Rodríguez-Dagnino
Tecnológico de Monterrey
Email: pogor@zu.edu.ua
Mexico, Monterrey
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