Oscillation theorems for certain second order nonlinear difference equations
type: Item
instance of: scholarly article
title: Oscillation theorems for certain second order nonlinear difference equations
zbMATH Open document ID: 0874.39012
author: Ravi P. Agarwal
author: Patricia J. Y. Wong
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-11-11T00:00:00Z
review text: Discrete inequalities are used to obtain sufficient conditions for the oscillation of all solutions of the difference equation \[ \Delta(a_n(\Delta y_n)^\sigma)+q_{n+1} f(y_{n+1})=r_n,\quad n\geq 0 \] where \(0<\sigma=p/q\) with \(p\), \(q\) odd integers, or \(p\) even and \(q\) odd integer. The results obtained here generalize some of the results of \textit{J. W. Hooker} and \textit{W. T. Patula} [J. Math. Anal. Appl. 91, 9-29 (1983; Zbl 0508.39005)] and \textit{E. Thandapani, I. Györi} and \textit{B. S. Lalli} [J. Math. Anal. Appl. 186, No. 1, 200-208 (1994; Zbl 0823.39004)].
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 1005601
zbMATH Keywords: second order nonlinear difference equations
zbMATH Keywords: oscillation
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0469
OpenAlex ID: W2078879927
DOI: 10.1006/JMAA.1996.0469
description: scientific article; zbMATH DE number 1005601