Asymptotic formula for oscillatory solutions of some singular nonlinear differential equation
type: Item
instance of: scholarly article
title: Asymptotic formula for oscillatory solutions of some singular nonlinear differential equation
zbMATH Open document ID: 1222.34034
DOI: 10.1155/2011/981401
author: Irena Rachůnková
author: Lukáš Rachůnek
published in: Abstract and Applied Analysis
publication date: 2011-07-22T00:00:00Z
review text: Summary: The singular differential equation \[ (p(t)u')' = p(t)f(u) \] is investigated. Here, \(f\) is Lipschitz continuous on \(\mathbb R\) and has at least two zeros 0 and \(L > 0\). The function \(p\) is continuous on \([0,\infty)\) and has a positive continuous derivative on \((0,\infty)\) and \(p(0) = 0\). An asymptotic formula for oscillatory solutions is derived.
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 34D05
zbMATH DE Number: 5930799
Wikidata QID: Q58654591
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/981401
OpenAlex ID: W2035321291
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description: scientific article; zbMATH DE number 5930799