Nonoscillation criteria for half-linear second-order difference equations
type: Item
instance of: scholarly article
title: Nonoscillation criteria for half-linear second-order difference equations
zbMATH Open document ID: 1006.39012
DOI: 10.1016/S0898-1221(01)00169-9
author: Ondřej Došlý
author: Pavel Rehak
publication date: 2002-06-13T00:00:00Z
review text: Using the Riccati and variational technique, nonoscillation criteria for the half-linear second-order difference equation of the form \[ \Delta (r_{k}\Phi (\Delta x_{k}))+c_{k}\Phi (x_{k+1})=0,\quad r_{k}\neq 0,\qquad \Phi (x):=|x|^{p-2}x,\quad p>1 \] are established. Useful remarks and comments are presented in the last section of the paper.
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 1755266
zbMATH Keywords: Riccati method
zbMATH Keywords: variational method
zbMATH Keywords: nonoscillation
zbMATH Keywords: half-linear second-order difference equation
reviewed by: Ioannis P. Stavroulakis
MaRDI profile type: Publication
cites work: Oscillatory Properties of Second Order Half-Linear Difference Equations
cites work: Q4033029
cites work: Q4000373
cites work: Oscillation and nonoscillation criteria for second order linear difference equations
cites work: Methods of oscillation theory of half-linear second order differential equations
cites work: Oscillation and nonoscillation criteria for second order quasilinear differential equations
cites work: Strong oscillation and nonoscillation of quasilinear differential equations of second order
cites work: Oscillation criteria for half-linear second order differential equations
cites work: Q4339090
Wikidata QID: Q128017926
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 1755266