Classification of nonoscillatory solutions of second order self-adjoint neutral difference equations
type: Item
instance of: scholarly article
title: Classification of nonoscillatory solutions of second order self-adjoint neutral difference equations
zbMATH Open document ID: 1044.39007
DOI: 10.1007/BF02936111
author: Yujun Liu
author: Zhaoshuang Liu
author: Zhenguo Zhang
published in: Journal of Applied Mathematics and Computing
publication date: 2004-03-29T00:00:00Z
review text: Classification schemes for eventually positive solutions of a class of neutral difference equation of the form \[ \Delta \left( a_n\left| \Delta \left( x_n-p_nx_{\tau _n}\right) \right| ^\alpha \text{sgn}\Delta \left( x_n-p_nx_{\tau _n}\right) \right) +f\left( n,x_{g_n}\right) =0 \] are given in terms of their asymptotic magnitudes, and sufficient conditions for the existence of these solutions are also provided.
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 2063149
zbMATH Keywords: nonoscillation
zbMATH Keywords: self-adjoint
zbMATH Keywords: eventually positive solutions
zbMATH Keywords: neutral difference equation
reviewed by: Wan-Tong Li
MaRDI profile type: Publication
cites work: Oscillation theorems for second-order advanced functional difference equations
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cites work: Oscillation of solutions for second-order nonlinear difference equations with nonlinear neutral term
cites work: An existence theorem for a nonlinear difference equation
cites work: Q4312272
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cites work: Classification of nonoscillatory solutions of higher order nonlinear difference equations
full work available at URL: https://doi.org/10.1007/bf02936111
OpenAlex ID: W2022703364
description: scientific article; zbMATH DE number 2063149