One case of appearance of positive solutions of delayed discrete equations.
type: Item
instance of: scholarly article
title: One case of appearance of positive solutions of delayed discrete equations.
zbMATH Open document ID: 1099.39001
author: Jaromír Baštinec
author: Josef Diblík
published in: Applications of Mathematics
publication date: 2006-11-21T00:00:00Z
review text: The authors study the existence of a positive solution of the nonlinear delay discrete equation \[ \Delta u(k+n)=f\big (k,u(k),u(k+1),\dots ,u(k+n)\big ), \quad k\in {\mathbb Z},\;k\geq a. \] They derive a sharp sufficient condition for the existence of such solution. The result is a special case with \(b(k)\equiv 0\) and \(c(k):=\sqrt {k}\, \big ( \frac {n}{n+1} \big )^k\) of the existence and boundedness result.
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 5074697
zbMATH Keywords: positive solution
zbMATH Keywords: nonlinear delay difference equation
reviewed by: Roman Šimon Hilscher
MaRDI profile type: Publication
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DOI: 10.1023/B:APOM.0000024484.15065.1C
description: scientific article; zbMATH DE number 5074697