Oscillation theorems for second order neutral difference equations
type: Item
instance of: scholarly article
title: Oscillation theorems for second order neutral difference equations
zbMATH Open document ID: 0797.39004
DOI: 10.1016/0096-3003(94)90132-5
published in: Applied Mathematics and Computation
publication date: 1994-10-24T00:00:00Z
review text: Oscillation criteria for the second order difference equations of the type \[ \Delta^ 2x_ n+q_ nf(x_{n-r})=0 \] and the neutral difference equation \[ \Delta^ 2 (x_ n + px_{n-\delta k}) + q_ n f(x_{n-r})= 0 \] are given. Here \(\Delta x_ n = x_{n+1}-x_ n\), \(\delta = \pm 1\), \(p\) is a real number, \(r\) and \(k\) are nonnegative integers, \(\{q_ n\}\) is a sequence of nonnegative real numbers, and \(f:\mathbb{R} \to \mathbb{R} = (-\infty,\infty)\) is a continuous function.
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 566118
zbMATH Keywords: oscillation criteria
zbMATH Keywords: second order difference equations
zbMATH Keywords: neutral difference equation
author: Bikkar S. Lalli
author: Said R. Grace
reviewed by: Alexander Mednykh
MaRDI profile type: Publication
full work available at URL: 0096-3003(94)90132-5
OpenAlex ID: W2033274833
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description: scientific article; zbMATH DE number 566118