Existence of nonoscillatory solutions of higher-order neutral difference equations with general coefficients
type: Item
instance of: scholarly article
title: Existence of nonoscillatory solutions of higher-order neutral difference equations with general coefficients
zbMATH Open document ID: 1029.39009
DOI: 10.1016/S0893-9659(02)00043-5
author: Yong Zhou
published in: Applied Mathematics Letters
publication date: 2003-03-10T00:00:00Z
review text: The main result of the paper provides a sufficient condition for the existence of a nonoscillatory solution of the higher order difference equation \[ \Delta^m(x_n+cx_{n-k})+p_n x_{n-r}=0,\qquad n=n_0, n_0+1, n_0+2,\dots, \] where \(c\in\mathbb R\), \(m\geq 1\) is an odd integer, \(k\geq 1\), \(r\geq 0\) are integers, \(\{p_n\}_{n=n_0}^\infty\) is a sequence of real numbers and \(\Delta\) denotes the forward difference operator, \(\Delta x_n=x_{n+1}-x_n\).
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 1878883
zbMATH Keywords: difference equation
zbMATH Keywords: nonoscillatory solutions
reviewed by: Mihály Pituk
MaRDI profile type: Publication
cites work: The oscillation of perturbed functional differential equations
cites work: On the existence of positive solutions of higher order difference equations
cites work: Oscillations of higher-order neutral difference equations
cites work: Oscillation of higher-order nonlinear difference equations of neutral type
cites work: Q4952123
cites work: Q3123170
cites work: Q4950656
cites work: Oscillations of higher-order linear difference equations
cites work: Comparison results and linearized oscillations for higher-order difference equations
cites work: On existence of positive solutions and bounded oscillations for neutral difference equations
cites work: Oscillation and nonoscillation for second-order linear difference equations
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description: scientific article; zbMATH DE number 1878883