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.
",
address="Slovak University of Technology",
booktitle="18th conference on aplied mathematics. Aplimat 2019 Proceedings.",
chapter="157460",
howpublished="electronic, physical medium",
institution="Slovak University of Technology",
year="2019",
month="february",
pages="23--30",
publisher="Slovak University of Technology",
type="conference paper"
}