Limit-point criteria for superlinear differential equations
type: Item
instance of: scholarly article
title: Limit-point criteria for superlinear differential equations
zbMATH Open document ID: 1072.34023
author: Octavian Mustafa
author: Yuriy V. Rogovchenko
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 2005-04-18T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.bbms/1093351382
review text: The authors obtain two limit-point criteria for the nonlinear differential equation \(x''+a(t)f(x)=0\) by establishing results which guarantee the nonexistence of nontrivial bounded \(L^2\)-solutions. The restriction on \(f(x)\) here is just a growth assumption, while that on \(a(t)\) is weaker than previously employed.
Mathematics Subject Classification ID: 34B20
Mathematics Subject Classification ID: 34B24
zbMATH DE Number: 2157936
zbMATH Keywords: nonlinear differential equations
zbMATH Keywords: second-order
zbMATH Keywords: square integrable solutions
zbMATH Keywords: bounded solutions
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: limit-point/limit-circle classification
reviewed by: Ruyun Ma
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2157936