Detail publikace

# Positive solutions of nonlinear discrete equations

BAŠTINEC, J. DIBLÍK, J. HALFAROVÁ, H.

Originální název

Positive solutions of nonlinear discrete equations

Anglický název

Positive solutions of nonlinear discrete equations

Jazyk

en

Originální abstrakt

A delayed discrete equation $\Delta x(n)=f(n,x(n),x(n-1),\dots,x(n-k))$ is considered where $n=a+k,a+k+1,\dots$ and $a\in\mathbb{N}$. It is proved that, given some conditions for $f,$ there exists a positive solution $x=x(n)$ for $n\to \infty$. The rate of convergence of a positive solution is estimated as well.

Anglický abstrakt

A delayed discrete equation $\Delta x(n)=f(n,x(n),x(n-1),\dots,x(n-k))$ is considered where $n=a+k,a+k+1,\dots$ and $a\in\mathbb{N}$. It is proved that, given some conditions for $f,$ there exists a positive solution $x=x(n)$ for $n\to \infty$. The rate of convergence of a positive solution is estimated as well.

Dokumenty

BibTex


@inproceedings{BUT157460,
author="Jaromír {Baštinec} and Josef {Diblík} and Hana {Halfarová}",
title="Positive solutions of nonlinear discrete equations",
annote="A delayed discrete equation  $\Delta x(n)=f(n,x(n),x(n-1),\dots,x(n-k))$  is considered where $n=a+k,a+k+1,\dots$ and $a\in\mathbb{N}$. It is proved that, given some conditions for $f,$ there exists a positive solution $x=x(n)$ for $n\to \infty$. The rate of convergence of a positive solution is estimated as well.
",
}