On constants in nonoscillation criteria for half-linear differential equations
type: Item
instance of: scholarly article
title: On constants in nonoscillation criteria for half-linear differential equations
zbMATH Open document ID: 1232.34052
DOI: 10.1155/2011/638271
author: Simona Fisnarova
author: Robert Mařík
published in: Abstract and Applied Analysis
publication date: 2012-01-16T00:00:00Z
review text: Summary: We study the half-linear differential equation \[ (r(t)\Phi(x'))' + c(t)\Phi(x) = 0 \text{, where }\Phi(x) = |x|^{p-2}, p > 1. \] Using the modified Riccati technique, we derive new nonoscillation criteria for this equation. The results are closely related to the classical Hille-Nehari criteria and allow to replace the fixed constants in known nonoscillation criteria by a certain one-parametric expression.
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 5997815
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/638271
OpenAlex ID: W1994492903
Wikidata QID: Q58654377
cites work: Q3531303
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cites work: Half-linear oscillation criteria: perturbation in term involving derivative
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description: scientific article; zbMATH DE number 5997815