eprintid: 28411
rev_number: 12
eprint_status: archive
userid: 3588
dir: disk0/00/02/84/11
datestamp: 2019-02-26 09:35:41
lastmod: 2019-02-26 09:37:37
status_changed: 2019-02-26 09:35:41
type: article
metadata_visibility: show
title: Schwartz-Type Boundary Value Problems for Monogenic Functions in a Biharmonic Algebra
language: english
abstract: We consider Schwartz-type boundary value problems for monogenic functions in a commutative algebra over the field of complex numbers with the bases {e1, e2} satisfying the conditions , . The algebra is
associated with the biharmonic equation, and considered problems have
relations to the plane elasticity. We develop methods of its solving
which are based on expressions of solutions by hypercomplex integrals
analogous to the classic Schwartz and Cauchy integrals.
keywords: Biharmonic equation - Biharmonic algebra - Biharmonic plane -
Monogenic function - Schwartz-type boundary value problem
creators_name: Плакса, С. А.
creators_name: Грищук, С. В.
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2019
date_type: published
publication: Springer Nature Switzerland AG
refereed: TRUE
citation:   Плакса, С. А., Грищук, С. В.  (2019) Schwartz-Type Boundary Value Problems for Monogenic Functions in a Biharmonic Algebra.  Springer Nature Switzerland AG.       
document_url: http://eprints.zu.edu.ua/28411/1/463690_1_En_10%20%282%29.pdf