Representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra

New representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra are found.

Bibliographic Details
Main Author: Serhii Gryshchuk
Format: Article
Language:English
Published: Odesa National University of Technology 2023-06-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
Online Access:https://journals.ontu.edu.ua/index.php/geometry/article/view/2400
_version_ 1797801141170339840
author Serhii Gryshchuk
author_facet Serhii Gryshchuk
author_sort Serhii Gryshchuk
collection DOAJ
description New representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra are found.
first_indexed 2024-03-13T04:45:55Z
format Article
id doaj.art-e887e870f12d4a2bb372c1a73f914138
institution Directory Open Access Journal
issn 2072-9812
2409-8906
language English
last_indexed 2024-03-13T04:45:55Z
publishDate 2023-06-01
publisher Odesa National University of Technology
record_format Article
series Pracì Mìžnarodnogo Geometričnogo Centru
spelling doaj.art-e887e870f12d4a2bb372c1a73f9141382023-06-18T19:55:25ZengOdesa National University of TechnologyPracì Mìžnarodnogo Geometričnogo Centru2072-98122409-89062023-06-01161789010.15673/tmgc.v16i1.24002400Representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebraSerhii Gryshchuk0Institute of Mathematics of the National Academy of Science of UkraineNew representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra are found.https://journals.ontu.edu.ua/index.php/geometry/article/view/2400lamé-type system of partial differential equations with real coefficientslamé system of equilibrium equations for displacementsbiharmonic equationbiharmonic functioncommutative and associative algebrasbiharmonic algebramonogenic functions
spellingShingle Serhii Gryshchuk
Representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra
Pracì Mìžnarodnogo Geometričnogo Centru
lamé-type system of partial differential equations with real coefficients
lamé system of equilibrium equations for displacements
biharmonic equation
biharmonic function
commutative and associative algebras
biharmonic algebra
monogenic functions
title Representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra
title_full Representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra
title_fullStr Representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra
title_full_unstemmed Representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra
title_short Representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra
title_sort representations of solutions of lame system with real coefficients via monogenic functions in the biharmonic algebra
topic lamé-type system of partial differential equations with real coefficients
lamé system of equilibrium equations for displacements
biharmonic equation
biharmonic function
commutative and associative algebras
biharmonic algebra
monogenic functions
url https://journals.ontu.edu.ua/index.php/geometry/article/view/2400
work_keys_str_mv AT serhiigryshchuk representationsofsolutionsoflamesystemwithrealcoefficientsviamonogenicfunctionsinthebiharmonicalgebra