Limit circle/limit point criteria for second-order sublinear differential equations with damping term
type: Item
instance of: scholarly article
title: Limit circle/limit point criteria for second-order sublinear differential equations with damping term
zbMATH Open document ID: 1272.34034
DOI: 10.1155/2011/803137
author: Jing Shao
author: Wei Song
published in: Abstract and Applied Analysis
publication date: 2012-01-16T00:00:00Z
review text: Consider the scalar equation \[ (a(t)y')'+ b(t)y'+ r(t) y^\gamma= 0,\tag{\(*\)} \] where \(a,r: \mathbb R_+\to \mathbb R\) are sufficiently smooth, \(b: \mathbb R_+\to\mathbb R_+\) is continuous, \(\gamma= 2k-1\) with \(k= (M+ N- 1)/(2N- 1)\), where \(M\) and \(N\) are positive integers. The authors present necessary and sufficient conditions for \((*)\) to be of limit-circle type or limit-point type.
reviewed by: Klaus R. Schneider
Mathematics Subject Classification ID: 34B20
zbMATH DE Number: 5997825
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/803137
OpenAlex ID: W2037950662
Wikidata QID: Q58654453
cites work: On the definitions of the nonlinear limit-point/limit-circle properties
cites work: Some Limit-point and Limit-circle Results for Second Order Emden–Fowler Equations
cites work: Limit circle type criteria for nonlinear differential equations
cites work: Limit circle criteria and related properties for nonlinear equations
cites work: On the nonlinear limit-point/limit-circle problem
cites work: Criteria of Limit Circle Type for Nonlinear Differential Equations
cites work: Q4695310
cites work: Criteria of Non-Degeneracy for the Wave Equation
description: scientific article; zbMATH DE number 5997825