Detail publikačního výsledku

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

CHVALINA, J.; KŘEHLÍK, Š.

Originální název

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

Anglický název

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

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

CHVALINA, J.; KŘEHLÍK, Š.

Rok RIV

2014

Vydáno

20.06.2013

Nakladatel

Univerzita Obrany

Místo

Brno

ISBN

978-80-7231-924-4

Kniha

XXXI International Colloquium on the Management of educational Process

Strany od

61

Strany do

69

Strany počet

9

BibTex

@inproceedings{BUT102013,
  author="Jan {Chvalina} and Štěpán {Křehlík}",
  title="Compactness of intervals of real numbers and the invertibility of certain hyperstructures",
  booktitle="XXXI International Colloquium on the Management of educational Process",
  year="2013",
  pages="61--69",
  publisher="Univerzita Obrany",
  address="Brno",
  isbn="978-80-7231-924-4"
}