Existence of positive solutions for neutral difference equations with positive and negative coefficients
type: Item
instance of: scholarly article
title: Existence of positive solutions for neutral difference equations with positive and negative coefficients
zbMATH Open document ID: 1019.34073
published in: Applied Mathematics. Series B (English Edition)
publication date: 2003-09-09T00:00:00Z
review text: The authors give sufficient conditions for the existence of eventually positive solutions to the neutral delay difference equation of the form \[ \Delta (x_n - R_n x_{n-r}) + P_n x_{n-r} - Q_n x_{n-\sigma} = 0,\quad n = 0, 1,\dots, \] where \(\Delta x_n = x_{n+1} - x_n,\) \(P_n \geq 0\), \(Q_n \geq 0\), \(R_n \geq 0,\) \(P_n - Q_{n-r+\sigma} \geq 0\) \((\not\equiv 0)\) \((n = 0, 1,\dots)\), \(\tau\), \(\sigma\) and \(r\) are integers with \(0 \leq \sigma < \tau\), \(r > 0.\)
Mathematics Subject Classification ID: 34K12
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 1836074
zbMATH Keywords: positive solution
zbMATH Keywords: neutral delay difference equation
author: Zhiguo Luo
author: Jianhua Shen
reviewed by: Victor I. Tkachenko
MaRDI profile type: Publication
full work available at URL: s11766-002-0001-2
OpenAlex ID: W1980093323
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cites work: Q3123170
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DOI: 10.1007/S11766-002-0001-2
description: scientific article; zbMATH DE number 1836074