Publication detail

Oscillation of solutions of the linear discrete delayed equation and related problems

DIBLÍK, J. ŠMARDA, Z. BAŠTINEC, J. BEREZANSKY, L.

Original Title

Oscillation of solutions of the linear discrete delayed equation and related problems

English Title

Oscillation of solutions of the linear discrete delayed equation and related problems

Type

conference paper

Language

en

Original Abstract

A linear (k+1)th-order discrete delayed equation with a positive coefficient p is considered for n tends to infinity. This equation is known to have a positive solution if p fulfils an inequality. The goal of the paper is to show that, in the case of the opposite inequality for p, all solutions of the equation considered are oscillating for n tends to infinity.

English abstract

A linear (k+1)th-order discrete delayed equation with a positive coefficient p is considered for n tends to infinity. This equation is known to have a positive solution if p fulfils an inequality. The goal of the paper is to show that, in the case of the opposite inequality for p, all solutions of the equation considered are oscillating for n tends to infinity.

Keywords

difference equation, oscillation, positive solution

RIV year

2011

Released

28.10.2011

Location

Shanghai Čína

ISBN

978-1-61284-363-6

Book

Proceedings 2011 World Congress on Engineering and Technology

Edition number

vol.1

Pages from

457

Pages to

461

Pages count

4

BibTex


@inproceedings{BUT74276,
  author="Josef {Diblík} and Zdeněk {Šmarda} and Jaromír {Baštinec} and Leonid {Berezansky}",
  title="Oscillation of solutions of the linear discrete delayed equation and related problems",
  annote="A linear (k+1)th-order discrete delayed equation  with a positive coefficient p is considered for n tends to infinity. This equation is known to have a positive solution if p fulfils an inequality. The goal of the paper is to show that, in the case of the opposite inequality for p, all solutions of the equation considered are oscillating for n tends to infinity.",
  booktitle="Proceedings 2011 World Congress on Engineering and Technology",
  chapter="74276",
  howpublished="online",
  year="2011",
  month="october",
  pages="457--461",
  type="conference paper"
}