Publication result detail

Realizability of the endomorphism monoid of a semi-cascade formed by solution spaces of linear ordinary n-th order differential equations

CHVALINA, J.; CHVALINOVÁ, L.

Original Title

Realizability of the endomorphism monoid of a semi-cascade formed by solution spaces of linear ordinary n-th order differential equations

English Title

Realizability of the endomorphism monoid of a semi-cascade formed by solution spaces of linear ordinary n-th order differential equations

Type

Paper in proceedings (conference paper)

Original Abstract

We construct a certain minimal extension of the action of the aditive monoid of all non-negative integers on the phase set formed by n-dimensional solution spaces of n-th order linear homogeneous ordinary differetnial equations allowing to endowe the mentional phase set with a structure of an extensive join space, goodendomorphism monoid of which coincides with the endomorphism monoid of the obtained semi-cascade.

English abstract

We construct a certain minimal extension of the action of the aditive monoid of all non-negative integers on the phase set formed by n-dimensional solution spaces of n-th order linear homogeneous ordinary differetnial equations allowing to endowe the mentional phase set with a structure of an extensive join space, goodendomorphism monoid of which coincides with the endomorphism monoid of the obtained semi-cascade.

Keywords

Linear differential operator, semi-cascade, linear ordinary differential equation.

Key words in English

Linear differential operator, semi-cascade, linear ordinary differential equation.

Authors

CHVALINA, J.; CHVALINOVÁ, L.

RIV year

2011

Released

28.01.2010

ISBN

978-80-89313-47-1

Book

9th International Conference APLIMAT 2010

Pages from

45

Pages to

56

Pages count

12

BibTex

@inproceedings{BUT32409,
  author="Jan {Chvalina} and Ludmila {Chvalinová}",
  title="Realizability of the endomorphism monoid of a semi-cascade formed by solution spaces of linear ordinary n-th order differential equations",
  booktitle="9th International Conference APLIMAT 2010",
  year="2010",
  pages="45--56",
  isbn="978-80-89313-47-1"
}