Enviar artigo por via de e-mail Solution of Systems of Partial Differential Equations by Using Properties of Monogenic Functions on Commutative Algebras
- Autores: Kolomiiets T.1, Pogorui A.1, Rodríguez-Dagnino R.2
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Afiliações:
- Department of Mathematical Analysis, Zhytomyr State University
- School of Engineering and Sciences, Tecnológico de Monterrey
- Edição: Volume 239, Nº 1 (2019)
- Páginas: 43-50
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242621
- DOI: https://doi.org/10.1007/s10958-019-04286-x
- ID: 242621
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Resumo
Some systems of differential equations with partial derivatives are studied by using the properties of Gâteaux differentiable functions on commutative algebras. The connection between solutions of systems of partial differential equations and components of monogenic functions on the corresponding commutative algebras is shown. We also give some examples of systems of partial differential equations and find their solutions.
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Sobre autores
Tamila Kolomiiets
Department of Mathematical Analysis, Zhytomyr State University
Autor responsável pela correspondência
Email: tamila.kolomiiets@gmail.com
Ucrânia, Zhytomyr
Anatoliy Pogorui
Department of Mathematical Analysis, Zhytomyr State University
Email: tamila.kolomiiets@gmail.com
Ucrânia, Zhytomyr
Ramón Rodríguez-Dagnino
School of Engineering and Sciences, Tecnológico de Monterrey
Email: tamila.kolomiiets@gmail.com
México, Monterrey
