Publication detail

Countable extensions of semicascades with bitopological phase spaces determined by linear homogeneous second-order differential equations.

CHVALINA, J.

Original Title

Countable extensions of semicascades with bitopological phase spaces determined by linear homogeneous second-order differential equations.

English Title

Countable extensions of semicascades with bitopological phase spaces determined by linear homogeneous second-order differential equations.

Type

conference paper

Language

en

Original Abstract

There is described certain extension of semicascades ( i.e. special discrete dynamical systems formed by the action of the additive monoid of non-negative integers) on the phase set formed by solution spaces of linear homogeneous second-order differential equations phase sets of which are endowed with two topologies satisfying pairwise separation axioms. These structures possess the realization property consisting in the equality of endomorphism monoids of semicascades with the monoids of continuous closed selftransformations of corresponding bitopological spaces.

English abstract

There is described certain extension of semicascades ( i.e. special discrete dynamical systems formed by the action of the additive monoid of non-negative integers) on the phase set formed by solution spaces of linear homogeneous second-order differential equations phase sets of which are endowed with two topologies satisfying pairwise separation axioms. These structures possess the realization property consisting in the equality of endomorphism monoids of semicascades with the monoids of continuous closed selftransformations of corresponding bitopological spaces.

Keywords

Semicascade, solution space of a second-order linear homogeneous differential equation, bitopological space.

RIV year

2011

Released

23.05.2011

Publisher

KNU

Location

Kyjev

ISBN

966-7652-00-9

Book

XV. Internat. Conference Dynamical System Modelling and Stability Investigation

Pages from

23

Pages to

24

Pages count

2

Documents

BibTex


@inproceedings{BUT75916,
  author="Jan {Chvalina}",
  title="Countable extensions of semicascades with bitopological phase spaces determined by linear homogeneous second-order differential equations.",
  annote="There is described certain extension of semicascades ( i.e. special discrete dynamical  systems formed by the action of the additive monoid of non-negative integers) on the phase set formed by solution spaces of linear homogeneous second-order differential equations phase sets of which are endowed with two topologies satisfying pairwise separation axioms. These structures possess the realization property consisting in the equality of endomorphism monoids of semicascades with the monoids of continuous closed selftransformations of corresponding bitopological spaces.",
  address="KNU",
  booktitle="XV. Internat. Conference Dynamical System Modelling and Stability Investigation",
  chapter="75916",
  howpublished="online",
  institution="KNU",
  year="2011",
  month="may",
  pages="23--24",
  publisher="KNU",
  type="conference paper"
}