Detail publikace

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

Originální název

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

Anglický název

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

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

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.",