Publication detail

# Oscillation of solution of a linear third-order discrete delayed equation

DIBLÍK, J. BAŠTINEC, J. BAŠTINCOVÁ, A.

Original Title

Oscillation of solution of a linear third-order discrete delayed equation

English Title

Oscillation of solution of a linear third-order discrete delayed equation

Type

conference paper

Language

en

Original Abstract

A linear third-order discrete delayed equation x(n+1)-x(n)= -p(n)x(n-2) with a positive coefficient p is considered for n go to infty. 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 go to infty.

English abstract

A linear third-order discrete delayed equation x(n+1)-x(n)= -p(n)x(n-2) with a positive coefficient p is considered for n go to infty. 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 go to infty.

Keywords

linear third-order discrete delayed equation, positive coefficient, positive solution, inequality, oscillatory solution.

RIV year

2011

Released

01.02.2011

Publisher

FME STU

Location

Bratislava

ISBN

978-80-89313-51-8

Book

10th International conference APLIMAT

Pages from

199

Pages to

205

Pages count

7

BibTex

``````
@inproceedings{BUT36213,
author="Josef {Diblík} and Jaromír {Baštinec} and Alena {Baštincová}",
title="Oscillation of solution of a linear third-order discrete delayed equation",
annote="A linear third-order discrete delayed equation x(n+1)-x(n)= -p(n)x(n-2) with a positive coefficient p is considered for n go to infty. 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 go to infty.",