Publication detail

Asymptotic upper and lower estimates of solutions of a class of discrete linear equations with a single delay

DIBLÍK, J. HLAVIČKOVÁ, I.

Original Title

Asymptotic upper and lower estimates of solutions of a class of discrete linear equations with a single delay

English Title

Asymptotic upper and lower estimates of solutions of a class of discrete linear equations with a single delay

Type

abstract

Language

en

Original Abstract

The class of delayed linear difference equations of the form v(n+1)-v(n)=-p(n)v(n-k) is studied. We show that if the coefficient p(n) is bounded by certain functions, then there exists a positive vanishing solution of the considered equation and we find the upper and the lower bound for this solution.

English abstract

The class of delayed linear difference equations of the form v(n+1)-v(n)=-p(n)v(n-k) is studied. We show that if the coefficient p(n) is bounded by certain functions, then there exists a positive vanishing solution of the considered equation and we find the upper and the lower bound for this solution.

Keywords

delayed discrete equation, asymptotic estimates

Released

25.06.2012

Publisher

University of Žilina

Location

Žilina

ISBN

978-80-554-0543-8

Book

Abstracts CDDEA 2012

Pages from

14

Pages to

15

Pages count

1

BibTex


@misc{BUT92794,
  author="Josef {Diblík} and Irena {Hlavičková}",
  title="Asymptotic upper and lower estimates of solutions of a class of discrete linear equations with a single delay",
  annote="The class of delayed linear difference equations of the form v(n+1)-v(n)=-p(n)v(n-k) is studied. We show that if the coefficient p(n) is bounded by certain functions, then there exists a positive vanishing solution of the considered equation and we find the upper and the lower bound for this solution.",
  address="University of Žilina",
  booktitle="Abstracts CDDEA 2012",
  chapter="92794",
  institution="University of Žilina",
  year="2012",
  month="june",
  pages="14--15",
  publisher="University of Žilina",
  type="abstract"
}