Email this article Solution of Systems of Partial Differential Equations by Using Properties of Monogenic Functions on Commutative Algebras
- Authors: Kolomiiets T.1, Pogorui A.1, Rodríguez-Dagnino R.M.2
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Affiliations:
- Department of Mathematical Analysis, Zhytomyr State University
- School of Engineering and Sciences, Tecnológico de Monterrey
- Issue: Vol 239, No 1 (2019)
- Pages: 43-50
- Section: 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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Abstract
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.
About the authors
Tamila Kolomiiets
Department of Mathematical Analysis, Zhytomyr State University
Author for correspondence.
Email: tamila.kolomiiets@gmail.com
Ukraine, Zhytomyr
Anatoliy Pogorui
Department of Mathematical Analysis, Zhytomyr State University
Email: tamila.kolomiiets@gmail.com
Ukraine, Zhytomyr
Ramón M. Rodríguez-Dagnino
School of Engineering and Sciences, Tecnológico de Monterrey
Email: tamila.kolomiiets@gmail.com
Mexico, Monterrey
