Отправить статью по E-mail Solution of Systems of Partial Differential Equations by Using Properties of Monogenic Functions on Commutative Algebras
- Авторы: Kolomiiets T.1, Pogorui A.1, Rodríguez-Dagnino R.2
-
Учреждения:
- Department of Mathematical Analysis, Zhytomyr State University
- School of Engineering and Sciences, Tecnológico de Monterrey
- Выпуск: Том 239, № 1 (2019)
- Страницы: 43-50
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242621
- DOI: https://doi.org/10.1007/s10958-019-04286-x
- ID: 242621
Цитировать
Открытый доступ
Доступ предоставлен
Только для подписчиков
Аннотация
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.
Ключевые слова
Об авторах
Tamila Kolomiiets
Department of Mathematical Analysis, Zhytomyr State University
Автор, ответственный за переписку.
Email: tamila.kolomiiets@gmail.com
Украина, Zhytomyr
Anatoliy Pogorui
Department of Mathematical Analysis, Zhytomyr State University
Email: tamila.kolomiiets@gmail.com
Украина, Zhytomyr
Ramón Rodríguez-Dagnino
School of Engineering and Sciences, Tecnológico de Monterrey
Email: tamila.kolomiiets@gmail.com
Мексика, Monterrey
