Publication detail

On a certain group of linear second-order differential operators of the Hill-type.

CHVALINA, J. BERÁNEK, J.

Original Title

On a certain group of linear second-order differential operators of the Hill-type.

English Title

On a certain group of linear second-order differential operators of the Hill-type.

Type

conference paper

Language

en

Original Abstract

The Hill differential equation often occurs in physical, technical and astronomical topics, in particular in modelling connected with vibrations of mechanical systems. It is a special equation in the Jacobi form investigations of which are motivated by concrete modelling time functions. In the contribution there is moreover established the isomorphism between a certain group of Hill-type differential operators and the subgroup of the group of third order differential operators with constant coefficients.

English abstract

The Hill differential equation often occurs in physical, technical and astronomical topics, in particular in modelling connected with vibrations of mechanical systems. It is a special equation in the Jacobi form investigations of which are motivated by concrete modelling time functions. In the contribution there is moreover established the isomorphism between a certain group of Hill-type differential operators and the subgroup of the group of third order differential operators with constant coefficients.

Keywords

Group, binary operation, differential equation of the Hill-type, differential operator.

RIV year

2014

Released

06.05.2014

Publisher

Faculty of Natural Sci. Constantine the Philosopher University Nitra

Location

Nitra

ISBN

978-80-558-0613-6

Book

Acta Mathematica

Edition number

17

Pages from

23

Pages to

27

Pages count

5

Documents

BibTex


@inproceedings{BUT111424,
  author="Jan {Chvalina} and Jaroslav {Beránek}",
  title="On a certain group of linear second-order differential operators of the Hill-type.",
  annote="The Hill differential equation often occurs in physical, technical and astronomical topics, in particular in modelling connected with vibrations of mechanical systems. It is a special equation in the Jacobi form investigations of which are motivated by concrete modelling time functions. In the contribution there is moreover established the isomorphism between a certain group of Hill-type differential operators and the subgroup of the group of third order differential operators with constant coefficients.",
  address="Faculty of Natural Sci. Constantine the Philosopher University Nitra",
  booktitle="Acta Mathematica",
  chapter="111424",
  howpublished="print",
  institution="Faculty of Natural Sci. Constantine the Philosopher University Nitra",
  year="2014",
  month="may",
  pages="23--27",
  publisher="Faculty of Natural Sci. Constantine the Philosopher University Nitra",
  type="conference paper"
}