Positive solutions of second order nonlinear difference equations
type: Item
instance of: scholarly article
title: Positive solutions of second order nonlinear difference equations
zbMATH Open document ID: 0872.39004
author: Bing Liu
author: Sui Sun Cheng
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-10-19T00:00:00Z
review text: Necessary and sufficient conditions are obtained for the existence of positive solutions of the difference equation \(\Delta(r_n(\Delta x_n)^\sigma)+ g_nx_{n+\tau}^\sigma=0\), where \(\sigma\) is a quotient of positive odd integers, \(g_n\geq 0\) but \(g_n>0\) for infinitely many \(n\), and \(r_n>0\) with divergent \(\sum_{k=0}^\infty r_k^{-1/\sigma}\). In particular, the case \(\tau=0\) is studied.
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 1005649
zbMATH Keywords: second order nonlinear difference equations
zbMATH Keywords: positive solutions
reviewed by: Lothar Berg
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0450
OpenAlex ID: W2097947061
DOI: 10.1006/JMAA.1996.0450
description: scientific article; zbMATH DE number 1005649