eprintid: 26351
rev_number: 12
eprint_status: archive
userid: 3588
dir: disk0/00/02/63/51
datestamp: 2018-02-05 23:28:45
lastmod: 2023-02-16 10:51:34
status_changed: 2018-02-05 23:28:45
type: article
metadata_visibility: show
title: Solutions of some partial differential equations with variable coefficients by properties of monogenic functions
language: english
abstract: 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
keywords: Monogenic function, commutative algebra, partial differential equations
creators_name: Pogorui, A. A.
creators_name: Rodríguez-Dagnіno, Ramón М.
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2017-02
date_type: published
publication: Journal of Mathematical Sciences
volume: 220
number: 5
pagerange: 624-632
refereed: TRUE
citation:   Pogorui, A. A., Rodríguez-Dagnіno, Ramón М.  (2017) Solutions of some partial differential equations with variable coefficients by properties of monogenic functions.  Journal of Mathematical Sciences, 220 (5).  с. 624-632.      
document_url: http://eprints.zu.edu.ua/26351/1/624-632.pdf