Solution of Systems of Partial Differential Equations by Using Properties of Monogenic Functions on Commutative Algebras

Tamila Kolomiiets; Anatoliy Pogorui; Ramón M. Rodríguez-Dagnino

doi:10.1007/s10958-019-04286-x

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
Affiliations:
1. Department of Mathematical Analysis, Zhytomyr State University
2. School of Engineering and Sciences, Tecnológico de Monterrey
Issue: Vol 239, No 1 (2019)
Pages: 43-50
Section: Article
URL: https://ogarev-online.ru/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.