Publication detail

Solvability of a certain group of the third-order linear differential operators.

CHVALINA, J. CHVALINOVÁ, L. MOUČKA, J.

Original Title

Solvability of a certain group of the third-order linear differential operators.

English Title

Solvability of a certain group of the third-order linear differential operators.

Type

conference paper

Language

en

Original Abstract

In the contribution there is constructed a certain non-commutative group of ordinary linear differential operators of the third order an investigated of its solvability in the Galois sense. Using the stabilization of the chain of commutants of the group of the third-order differential operators, multiplication of which is motivated by the composition of affine transformations of linear spaces, we have obtained that the mentioned group is solvable.

English abstract

In the contribution there is constructed a certain non-commutative group of ordinary linear differential operators of the third order an investigated of its solvability in the Galois sense. Using the stabilization of the chain of commutants of the group of the third-order differential operators, multiplication of which is motivated by the composition of affine transformations of linear spaces, we have obtained that the mentioned group is solvable.

Keywords

Solvable group, chain of commutants, linear differential operator of the third order.

RIV year

2012

Released

17.05.2012

Publisher

Univerzita obrany

Location

Brno

ISBN

978-80-7231-865-0

Book

Proc. XXX International Colloquium of the Management of Educational Process, Univ. of Defence Brno 2012

Edition

1

Pages from

69

Pages to

78

Pages count

10

Documents

BibTex


@inproceedings{BUT96283,
  author="Jan {Chvalina} and Ludmila {Chvalinová} and Jiří {Moučka}",
  title="Solvability of a certain group of the third-order linear differential operators.",
  annote="In the contribution there is constructed a certain non-commutative group of ordinary linear differential operators of the third order an investigated of its solvability in the Galois sense. Using the stabilization of the chain of commutants of the group of the third-order differential operators, multiplication of which is motivated by the composition of affine transformations of linear spaces, we have obtained that the mentioned group is solvable.",
  address="Univerzita obrany",
  booktitle="Proc. XXX International Colloquium of the Management of Educational Process, Univ. of Defence Brno 2012",
  chapter="96283",
  edition="1",
  howpublished="print",
  institution="Univerzita obrany",
  year="2012",
  month="may",
  pages="69--78",
  publisher="Univerzita obrany",
  type="conference paper"
}