Non-oscillatory solutions of higher order nonlinear neutral delay difference equations
type: Item
instance of: scholarly article
title: Non-oscillatory solutions of higher order nonlinear neutral delay difference equations
zbMATH Open document ID: 1047.39010
DOI: 10.4171/ZAA/1182
author: Yong Zhou
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2004-06-15T00:00:00Z
review text: The author considers the higher order neutral difference equation \[ L_m(x(n) + cx(n-\tau)) + F(n, x(\sigma(n))) = g(n), n \geq n_0, \tag{1} \] where \(L_0 x(n) = x(n)\), \(L_i x(n) = \Delta (L_{i-1} x(n))/r_i(n)\), \(i =1,\dots, m\), \(\Delta x(n) = x(n+1) - x(n)\), \(c\) is a real parameter. It is assumed that \(r_i > 0\), \(i=1,\dots,m-1,\) and \(r_m \equiv 1.\) Sufficient conditions for the existence of a bounded non-oscillatory solution of (1) are obtained.
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 2075239
zbMATH Keywords: higher order neutral difference equation
zbMATH Keywords: non-oscillatory solution
zbMATH Keywords: bounded solution
reviewed by: Victor I. Tkachenko
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2075239