Comparison theorems for oscillation of second order half-linear differential equations
type: Item
instance of: scholarly article
title: Comparison theorems for oscillation of second order half-linear differential equations
zbMATH Open document ID: 1116.34030
author: Naoto Yamaoka
author: Jitsuro Sugie
published in: Acta Mathematica Hungarica
publication date: 2007-01-08T00:00:00Z
review text: There are established new comparison theorems on the oscillation of solutions of a class of perturbed half-linear differential equation. Connections between half-linear differential equation and linear differential equations are found. The comparison theorems from this work are not of Sturm type or Hill-Wintner type, but the main results are applied in combination with Sturm or Hille-Wintner comparison theorems to the half-linear differential equation of the general form \[ \left(| x'| ^{\alpha-1} x\right)'+a(t)| x| ^{\alpha-1} x=0 \]
reviewed by: Vasile Marinca
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 5082264
zbMATH Keywords: perturbation
zbMATH Keywords: differential inequalities
MaRDI profile type: Publication
full work available at URL: s10474-006-0029-5
OpenAlex ID: W2030921795
DOI: 10.1007/S10474-006-0029-5
description: scientific article; zbMATH DE number 5082264