On the solutions of fourth order difference equations
type: Item
instance of: scholarly article
title: On the solutions of fourth order difference equations
zbMATH Open document ID: 0851.39003
author: Ewa Schmeidel
author: Jerzy Ryszard Popenda
published in: Rocky Mountain Journal of Mathematics
publication date: 1996-11-26T00:00:00Z
review text: The authors study the behavior of nonoscillatory solutions of the fourth order difference equation \(\Delta^4 y_n= f(n, y_{n+2})\), \(n\in \mathbb{N}\), where \(f: \mathbb{N}\times \mathbb{R}\to \mathbb{R}\) satisfies \(x\cdot f(n, x)< 0\) for all \(n\in \mathbb{N}\), \(x\neq 0\). For related results see the papers of \textit{B. Smith} and \textit{W. E. Taylor jun.} [Rocky Mt. J. Math. 16, 403-406 (1986; Zbl 0602.39003)] and \textit{W. E. Taylor jun.} [Port. Math. 45, No. 1, 105-114 (1988; Zbl 0652.39004)].
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 894663
zbMATH Keywords: nonoscillatory solutions
zbMATH Keywords: fourth order difference equation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072158
OpenAlex ID: W2028120149
cites work: Oscillatory and asymptotic behavior of certain fourth order difference equations
cites work: Q3797632
DOI: 10.1216/RMJM/1181072158
description: scientific article; zbMATH DE number 894663