Publication detail

Sequences of automata formed by groups of polynomials and by semigroup of linear differential operators

CHVALINA, J. STANĚK, D.

Original Title

Sequences of automata formed by groups of polynomials and by semigroup of linear differential operators

English Title

Sequences of automata formed by groups of polynomials and by semigroup of linear differential operators

Type

conference paper

Language

en

Original Abstract

The concept of an automaton is a mathematical interpretation of real systems that work in a discrete time-scale. Using linear differential operators there constructing quasi-automata formed by actions of linear differential operator on n-th order on rings of real polynomials and also by actions of polynomials on groups of differential operators. Moreover decreasing and increasing of such quasi-automata are also constructed.

English abstract

The concept of an automaton is a mathematical interpretation of real systems that work in a discrete time-scale. Using linear differential operators there constructing quasi-automata formed by actions of linear differential operator on n-th order on rings of real polynomials and also by actions of polynomials on groups of differential operators. Moreover decreasing and increasing of such quasi-automata are also constructed.

Keywords

Quasi-automaton, ordinary linear differential operator, abelian groups of polynomials of one real variable, sequences of quasi-automaton, sequences of actions of additive groups of polynomials.

Released

31.01.2017

Publisher

Slovak University of Technology

Location

Bratislava

ISBN

978-80-227-4650-2

Book

Aplimat 2017, 16th Conference on Applied Mathematcs, Proceedings

Edition

First Edition

Edition number

1

Pages from

369

Pages to

382

Pages count

14

URL

Documents

BibTex


@inproceedings{BUT135094,
  author="Jan {Chvalina} and David {Staněk}",
  title="Sequences of automata formed by groups of polynomials and by semigroup of linear differential operators",
  annote="The concept of an automaton is a mathematical interpretation of real systems that work in a discrete time-scale. Using linear differential operators there constructing quasi-automata formed by actions of linear differential operator on n-th order on rings of real polynomials and also by actions of polynomials on groups of differential operators. Moreover decreasing and increasing of such quasi-automata are also constructed.",
  address="Slovak University of Technology",
  booktitle="Aplimat 2017, 16th Conference on Applied Mathematcs, Proceedings",
  chapter="135094",
  edition="First Edition",
  howpublished="electronic, physical medium",
  institution="Slovak University of Technology",
  year="2017",
  month="january",
  pages="369--382",
  publisher="Slovak University of Technology",
  type="conference paper"
}