Detail publikace

# Positive solutions of nonlinear discrete equations

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.

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.
",
}