Solutions of some partial differential equations with variable coefficients by properties of monogenic functions
- Autores: Pogorui A.1, Rodríguez-Dagnino R.2
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Afiliações:
- Department of Mathematical Analysis, Ivan Franko Zhytomyr State University
- Tecnológico de Monterrey
- Edição: Volume 220, Nº 5 (2017)
- Páginas: 624-632
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238892
- DOI: https://doi.org/10.1007/s10958-016-3205-3
- ID: 238892
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Resumo
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.
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Sobre autores
Anatoliy Pogorui
Department of Mathematical Analysis, Ivan Franko Zhytomyr State University
Autor responsável pela correspondência
Email: pogor@zu.edu.ua
Ucrânia, Zhytomyr
Ramón Rodríguez-Dagnino
Tecnológico de Monterrey
Email: pogor@zu.edu.ua
México, Monterrey