Reverse-order lower and upper functions for periodic problems of second-order singular difference equations
type: Item
instance of: scholarly article
title: Reverse-order lower and upper functions for periodic problems of second-order singular difference equations
zbMATH Open document ID: 1297.39016
DOI: 10.1155/2013/176465
author: Yanqiong Lu
author: Ruyun Ma
published in: Abstract and Applied Analysis
publication date: 2014-06-20T00:00:00Z
review text: Summary: We present sufficient conditions ensuring the lower and upper functions on the reversed-order for the periodic difference equations. This enables us to obtain the existence of positive periodic solutions of the second-order difference equation \(\Delta^2 u(t-1)=g(t)/u^\mu(t)-h(t)/u^\lambda(t)+f(t)\), \(t\in\mathbb Z\) where \(g,h:\mathbb Z\to[0,\infty)\), and \(f:\mathbb Z\to\mathbb R\) are \(T\)-periodic functions, \(\lambda,\mu >0\).
Mathematics Subject Classification ID: 39A23
Mathematics Subject Classification ID: 39A22
Mathematics Subject Classification ID: 39A20
zbMATH DE Number: 6306101
zbMATH Keywords: rational difference equations
zbMATH Keywords: periodic difference equations
zbMATH Keywords: positive periodic solutions
zbMATH Keywords: second-order difference equation
Wikidata QID: Q58915439
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/176465
OpenAlex ID: W2070317173
cites work: Q4000373
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description: scientific article; zbMATH DE number 6306101