Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients

Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients are exhaustively described over both the complex and real fields. The exact lower and upper bounds for the dimensions of the maximal Lie invariance algebras possessed by such systems are obtai...

Descripción completa

Detalles Bibliográficos
Autores principales: Boyko, Vyacheslav M., Popovych, Roman O., Shapoval, Nataliya M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Academic Press 2013
Materias:
Note
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3617626/
https://www.ncbi.nlm.nih.gov/pubmed/23564972
http://dx.doi.org/10.1016/j.jmaa.2012.06.030
_version_ 1782265284943413248
author Boyko, Vyacheslav M.
Popovych, Roman O.
Shapoval, Nataliya M.
author_facet Boyko, Vyacheslav M.
Popovych, Roman O.
Shapoval, Nataliya M.
author_sort Boyko, Vyacheslav M.
collection PubMed
description Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients are exhaustively described over both the complex and real fields. The exact lower and upper bounds for the dimensions of the maximal Lie invariance algebras possessed by such systems are obtained using an effective algebraic approach.
format Online
Article
Text
id pubmed-3617626
institution National Center for Biotechnology Information
language English
publishDate 2013
publisher Academic Press
record_format MEDLINE/PubMed
spelling pubmed-36176262013-04-05 Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients Boyko, Vyacheslav M. Popovych, Roman O. Shapoval, Nataliya M. J Math Anal Appl Note Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients are exhaustively described over both the complex and real fields. The exact lower and upper bounds for the dimensions of the maximal Lie invariance algebras possessed by such systems are obtained using an effective algebraic approach. Academic Press 2013-01-01 /pmc/articles/PMC3617626/ /pubmed/23564972 http://dx.doi.org/10.1016/j.jmaa.2012.06.030 Text en © 2013 Elsevier Inc. https://creativecommons.org/licenses/by-nc-nd/3.0/ Open Access under CC BY-NC-ND 3.0 (https://creativecommons.org/licenses/by-nc-nd/3.0/) license
spellingShingle Note
Boyko, Vyacheslav M.
Popovych, Roman O.
Shapoval, Nataliya M.
Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients
title Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients
title_full Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients
title_fullStr Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients
title_full_unstemmed Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients
title_short Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients
title_sort lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients
topic Note
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3617626/
https://www.ncbi.nlm.nih.gov/pubmed/23564972
http://dx.doi.org/10.1016/j.jmaa.2012.06.030
work_keys_str_mv AT boykovyacheslavm liesymmetriesofsystemsofsecondorderlinearordinarydifferentialequationswithconstantcoefficients
AT popovychromano liesymmetriesofsystemsofsecondorderlinearordinarydifferentialequationswithconstantcoefficients
AT shapovalnataliyam liesymmetriesofsystemsofsecondorderlinearordinarydifferentialequationswithconstantcoefficients

Ejemplares similares