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 $Delta x(n)=-p(n)x(n-2)$ with a positive coefficient $p$ is considered for $n$ going 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 $n$ tending to $\infty$.

Anglický abstrakt

A linear third-order discrete delayed equation $Delta x(n)=-p(n)x(n-2)$ with a positive coefficient $p$ is considered for $n$ going 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 $n$ tending to $\infty$.

BibTex


@inproceedings{BUT74172,
author="Josef {Diblík} and Alena {Baštincová} and Jaromír {Baštinec}",
title="Oscillation of solution of a linear third-order discrete delayed equation",
annote="A linear third-order discrete delayed equation $Delta x(n)=-p(n)x(n-2)$  with a positive coefficient $p$ is considered for $n$ going 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 $n$ tending to $\infty$.",
}