Comparison of nonlinearities in oscillation theory of half-linear differential equations
type: Item
instance of: scholarly article
title: Comparison of nonlinearities in oscillation theory of half-linear differential equations
zbMATH Open document ID: 1199.34167
published in: Acta Mathematica Hungarica
publication date: 2009-12-28T00:00:00Z
review text: In this interesting paper, the oscillatory character of the half-linear differential equation \[ (r(t)\Phi_p(y'))'+c(t)\Phi_p(y)=0 \] is investigated, when \(r\), \(c\) are continuous functions and \[ \Phi_p(u):=| u| ^{p-1}\text{sgn}(u)\tag{\(*\)} \] and \(p>1\). The author obtains his results by using several auxiliary equations produced by \((*)\).
reviewed by: George Karakostas
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 5651850
zbMATH Keywords: half-linear differential equation
zbMATH Keywords: comparison theorem
zbMATH Keywords: (non)oscillation
zbMATH Keywords: Riccati technique
zbMATH Keywords: reciprocity principle
author: Pavel Rehak
MaRDI profile type: Publication
full work available at URL: s10474-008-7181-z
OpenAlex ID: W2115828331
cites work: Oscillation and nonoscillation criteria for second order quasilinear differential equations
cites work: On some analogs of Sturm's and Kneser's theorems for nonlinear systems
cites work: On certain comparison theorems for half-linear dynamic equations on time scales
cites work: Q3378965
cites work: Comparison theorems for oscillation of second order half-linear differential equations
DOI: 10.1007/S10474-008-7181-Z
description: scientific article; zbMATH DE number 5651850