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

Peer-reviewed article not indexed in WoS or Scopus

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 oin 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 oin 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

01.02.2010

ISBN

1337-6365

Periodical

Journal of Applied Mathematics

Volume

2010

Number

1

State

Slovak Republic

Pages from

211

Pages to

223

Pages count

13

BibTex

@article{BUT46810,
  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",
  journal="Journal of Applied Mathematics",
  year="2010",
  volume="2010",
  number="1",
  pages="211--223",
  issn="1337-6365"
}