Publication detail

Compactness of intervals of real numbers and the invertibility of certain hyperstructures

CHVALINA, J. KŘEHLÍK, Š.

Original Title

Compactness of intervals of real numbers and the invertibility of certain hyperstructures

English Title

Compactness of intervals of real numbers and the invertibility of certain hyperstructures

Type

conference paper

Language

en

Original Abstract

We present four models of time signals with their second-order differential equations in the Jacobi form. Further, there is constructed hyper-group consisting of differential operators in the Jacobi form and characterized its invertibility, i.e. it is proved that the considered hypergroup is invertible if and only if the domain of continuous coefficients of corresponding operators is compact.

English abstract

We present four models of time signals with their second-order differential equations in the Jacobi form. Further, there is constructed hyper-group consisting of differential operators in the Jacobi form and characterized its invertibility, i.e. it is proved that the considered hypergroup is invertible if and only if the domain of continuous coefficients of corresponding operators is compact.

Keywords

Hypergroup, second-order linear differential operator, models of time signals, invertibility

RIV year

2013

Released

20.06.2013

Publisher

Univerzita Obrany

Location

Brno

ISBN

978-80-7231-924-4

Book

XXXI International Colloquium on the Management of educational Process

Pages from

61

Pages to

69

Pages count

9

Documents

BibTex


@inproceedings{BUT102013,
  author="Jan {Chvalina} and Štěpán {Křehlík}",
  title="Compactness of intervals of real numbers and the invertibility of certain hyperstructures",
  annote="We  present four models of time signals with their second-order differential  equations in the Jacobi form. Further, there is constructed hyper-group consisting of differential operators in the Jacobi form and characterized its invertibility, i.e. it is proved that the considered hypergroup is invertible if and only if the domain of continuous coefficients of corresponding operators is compact.",
  address="Univerzita Obrany",
  booktitle="XXXI International Colloquium on the Management of educational Process",
  chapter="102013",
  howpublished="print",
  institution="Univerzita Obrany",
  year="2013",
  month="june",
  pages="61--69",
  publisher="Univerzita Obrany",
  type="conference paper"
}